Engineering Tripos Part IIB, 4F1: Control System Design, 2017-18
Module Leader
Lecturer
Prof M Smith, Dr I Lestas
Lab Leader
Prof M Smith
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
[Coursework activity #1 title / Interim] Coursework 1 brief description Learning objective: |
Individual/group Report / Presentation [non] anonymously marked |
day during term, ex: Thu week 3 [xx/60] |
|
[Coursework activity #2 title / Final] Coursework 2 brief description Learning objective: |
Individual Report anonymously marked |
Wed week 9 [xx/60] |
Booklists
Please see the Booklist for Group F Courses for references for this module.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 05/10/2017 07:39
Engineering Tripos Part IIB, 4F1: Control System Design, 2018-19
Module Leader
Lecturer
Prof M Smith
Lab Leader
Prof M Smith
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
[Coursework activity #1 title / Interim] Coursework 1 brief description Learning objective: |
Individual/group Report / Presentation [non] anonymously marked |
day during term, ex: Thu week 3 [xx/60] |
|
[Coursework activity #2 title / Final] Coursework 2 brief description Learning objective: |
Individual Report anonymously marked |
Wed week 9 [xx/60] |
Booklists
Please see the Booklist for Group F Courses for references for this module.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 17/05/2018 14:18
Engineering Tripos Part IIB, 4F1: Control System Design, 2025-26
Module Leader
Lecturer
Lab Leader
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
Coursework activity #1 Final Coursework 1 brief description Learning objective:
|
Individual Report anonymously marked |
Fri week 9 [15/60] |
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 04/06/2025 13:30
Engineering Tripos Part IIB, 4F1: Control System Design, 2023-24
Module Leader
Lecturer
Lab Leader
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
Coursework activity #1 Final Coursework 1 brief description Learning objective:
|
Individual Report anonymously marked |
Fri week 9 [15/60] |
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 30/05/2023 15:31
Engineering Tripos Part IIB, 4F1: Control System Design, 2020-21
Module Leader
Lecturer
Lab Leader
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
Coursework activity #2 Final Coursework 2 brief description Learning objective: |
Individual Report anonymously marked |
Fri week 9 [15/60] |
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 25/09/2020 15:07
Engineering Tripos Part IIB, 4F1: Control System Design, 2021-22
Module Leader
Lecturer
Lab Leader
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
Coursework activity #2 Final Coursework 2 brief description Learning objective: |
Individual Report anonymously marked |
Fri week 9 [15/60] |
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 20/05/2021 07:49
Engineering Tripos Part IIB, 4F1: Control System Design, 2022-23
Module Leader
Lecturer
Lab Leader
Timing and Structure
Michaelmas term. 12 lectures + 2 examples classes + coursework. Assessment: 75% exam/25% coursework
Prerequisites
3F1 and 3F2 useful
Aims
The aims of the course are to:
- establish for the students a fundamental approach to the design of linear control systems.
Objectives
As specific objectives, by the end of the course students should be able to:
- understand the role and importance of feedback for the control of uncertain dynamical systems.
- demonstrate the information conveyed via root locus diagrams for transient behaviour and basic frequency response analysis using Nyquist (polar) and Bode plots.
- following its basic derivation, illustrate the use of the Nyquist stability criterion with both open loop stable and open loop unstable systems;
- understand factors which limit achievable performance in feedback systems.
- use analytical tools to understand trade-offs (e.g. Bode gain/phase relations, sensitivity integrals).
- translate general requirements for robustness and performance into specifications on the open-loop frequency response.
- use computer software for simple control system design and system simulation
- design simple compensators to achieve such specifications.
Content
Control system design (11L)
- System dynamics, stability and instability, principles and use of root locus plots, derivation of Nyquist stability criterion, Bode theorems and plots.
- Design of simple P.I.D. controllers and phase compensators. Sensitivity, complementary sensitivity and SISO robustness. Non-minimum phase systems and limitations, bandwidth. Delays in systems.
- Two degree of freedom design.
Introduction to Coursework (1L)
Case studies and simulation.
Coursework
Case studies and design by simulation and computer software, e.g. use of Matlab. Four hours DPO time plus report (further four hours).
| Coursework | Format |
Due date & marks |
|---|---|---|
|
Coursework activity #1 Final Coursework 1 brief description Learning objective:
|
Individual Report anonymously marked |
Fri week 9 [15/60] |
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
D1
Wide knowledge and comprehensive understanding of design processes and methodologies and the ability to apply and adapt them in unfamiliar situations.
D4
Ability to generate an innovative design for products, systems, components or processes to fulfil new needs.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
E4
Understanding of and ability to apply a systems approach to engineering problems.
P1
A thorough understanding of current practice and its limitations and some appreciation of likely new developments.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 18/11/2022 16:20
Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2020-21
Module Leader
Lecturers
Prof GN Wells and Dr GJ McShane
Timing and Structure
Lent term. 16 lectures (including examples classes). Assessment: 100% exam
Prerequisites
3C7 assumed; 3D7 useful
Aims
The aims of the course are to:
- develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
- understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.
Objectives
As specific objectives, by the end of the course students should be able to:
- show a working knowledge of tensor notation
- define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
- use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
- solve linear viscoelastic problems for arbitrary loading time-histories
- understand numerical solution methods for nonlinear continuum mechanics problems.
Content
This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.
Preliminaries (2L, Dr GJ McShane)
- Introduction to indicial notation.
- Vectors, tensors and their manipulation.
Linearised Continuum Mechanics (6L, Dr GJ McShane)
- Kinematics: infinitesimal strains, compatibility.
- Conservation laws; stress and equilibrium.
- Linear elasticity: method of stationary potential energy.
- Linear viscoelasticity: constitutive equations; solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.
Nonlinear Continuum Mechanics (8L, Prof GN Wells)
- Nonlinear kinematics.
- Strain rates and stress measures.
- Nonlinear elasticity: stationary potential energy and hyper-elasticity.
- Numerical solution methods.
Examples papers
- Papers 1-2 - Preliminaries and linearised continuum mechanics.
- Papers 3-4 - Nonlinear continuum mechanics
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 11/09/2020 19:52
Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2019-20
Module Leader
Lecturers
Prof GN Wells and Dr GJ McShane
Timing and Structure
Lent term. 16 lectures (including examples classes). Assessment: 100% exam
Prerequisites
3C7 assumed; 3D7 useful
Aims
The aims of the course are to:
- develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
- understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.
Objectives
As specific objectives, by the end of the course students should be able to:
- show a working knowledge of tensor notation
- understand how to define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
- use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
- solve linear viscoelastic problems for arbitrary loading time-histories
- understand numerical solution methods for nonlinear continuum mechanics problems.
Content
This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.
Preliminaries (2L, Dr GJ McShane)
- Introduction to indicial notation.
- Vectors, tensors and their manipulation.
Linearised Continuum Mechanics (6L, Dr GJ McShane)
- Kinematics: infinitesimal strains, compatibility.
- Conservation laws; stress and equilibrium.
- Linear elasticity: method of stationary potential energy.
- Linear viscoelasticity: constitutive equations; solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.
Nonlinear Continuum Mechanics (8L, Prof GN Wells)
- Nonlinear kinematics.
- Strain rates and stress measures.
- Nonlinear elasticity: stationary potential energy and hyper-elasticity.
- Numerical solution methods.
- Note that this part of the 4C9 course is new for 2018-19.
Examples papers
- Papers 1-2 - Preliminaries and linearised continuum mechanics.
- Papers 3-4 - Nonlinear continuum mechanics
Booklists
Please see the Booklist for Group C Courses for references for this module.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 24/05/2019 14:18
Engineering Tripos Part IIB, 4C9: Continuum Mechanics, 2022-23
Module Leader
Lecturers
Prof GN Wells and Dr GJ McShane
Timing and Structure
Lent term. 16 lectures (including examples classes). Assessment: 100% exam
Prerequisites
3C7 assumed; 3D7 useful
Aims
The aims of the course are to:
- develop a more in-depth understanding of continuum solid mechanics, with particular emphasis on the distinction between linearised (i.e. infinitesimal strain) and nonlinear continuum mechanics;
- understand appropriate solution methods for particular boundary value problems, with a focus on elastic and visco-elastic materials.
Objectives
As specific objectives, by the end of the course students should be able to:
- show a working knowledge of tensor notation
- define deformation, stress and constitutive relationships, in both linear and nonlinear continuum mechanics
- use energy approaches to define constitutive relationships and solve problems in linear and nonlinear elasticity
- solve linear viscoelastic problems for arbitrary loading time-histories
- understand numerical solution methods for nonlinear continuum mechanics problems.
Content
This is an advanced course in continuum solid mechanics building on material covered in the Part IIA course 3C7. The aim of the course is to develop a more in-depth understanding of the techniques employed in continuum solid mechanics, for both small and large deformations, with particular emphasis on the response of elastic and visco-elastic bodies.
Preliminaries (2L, Dr GJ McShane)
- Introduction to indicial notation.
- Vectors, tensors and their manipulation.
Linearised Continuum Mechanics (6L, Dr GJ McShane)
- Kinematics: infinitesimal strains, compatibility.
- Conservation laws; stress and equilibrium.
- Linear elasticity: method of stationary potential energy.
- Linear viscoelasticity: constitutive equations; solving viscoelastic problems in 1D for arbitrary loading time-histories; viscoelastic analysis in 3D.
Nonlinear Continuum Mechanics (8L, Prof GN Wells)
- Nonlinear kinematics.
- Strain rates and stress measures.
- Nonlinear elasticity: stationary potential energy and hyper-elasticity.
- Numerical solution methods.
Examples papers
- Papers 1-2 - Preliminaries and linearised continuum mechanics.
- Papers 3-4 - Nonlinear continuum mechanics
Booklists
Please refer to the Booklist for Part IIB Courses for references to this module, this can be found on the associated Moodle course.
Examination Guidelines
Please refer to Form & conduct of the examinations.
UK-SPEC
This syllabus contributes to the following areas of the UK-SPEC standard:
Toggle display of UK-SPEC areas.
GT1
Develop transferable skills that will be of value in a wide range of situations. These are exemplified by the Qualifications and Curriculum Authority Higher Level Key Skills and include problem solving, communication, and working with others, as well as the effective use of general IT facilities and information retrieval skills. They also include planning self-learning and improving performance, as the foundation for lifelong learning/CPD.
IA1
Apply appropriate quantitative science and engineering tools to the analysis of problems.
IA2
Demonstrate creative and innovative ability in the synthesis of solutions and in formulating designs.
KU1
Demonstrate knowledge and understanding of essential facts, concepts, theories and principles of their engineering discipline, and its underpinning science and mathematics.
KU2
Have an appreciation of the wider multidisciplinary engineering context and its underlying principles.
E1
Ability to use fundamental knowledge to investigate new and emerging technologies.
E2
Ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate.
E3
Ability to apply mathematical and computer based models for solving problems in engineering, and the ability to assess the limitations of particular cases.
P3
Understanding of contexts in which engineering knowledge can be applied (e.g. operations and management, technology, development, etc).
US1
A comprehensive understanding of the scientific principles of own specialisation and related disciplines.
US2
A comprehensive knowledge and understanding of mathematical and computer models relevant to the engineering discipline, and an appreciation of their limitations.
Last modified: 24/05/2022 13:10
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