Timing and Structure
Michaelmas term. 16 lectures.
The aims of the course are to:
- Analyse the contact stresses and kinematical behaviour of solid contacts and to understand the design of rolling element bearings and other machine elements.
- Understand the design of involute gears and appreciate the stress limits and practical problems of gears.
- To analyse the behaviour of multiple gear drives and planetary gears.
- Understand how components are combined to make up a mechanical power transmission system, including power matching to achieve a desired operating point.
- Apply the principles of power matching to hybrid drives.
- Introduce methods for specifying the type and arrangement of rolling element bearings to meet a specified duty.
As specific objectives, by the end of the course students should be able to:
- Calculate the strength limitations of solid contacts.
- Analyse the kinematical behaviour of contacts, especially in rotating machinery.
- Understand and analyse the performance of friction drives.
- Be familiar with the geometry and kinematics of involute gear wheels and racks.
- Understand the criterion for tooth bending failure and be able to derive the Hertz pressure at tooth contacts.
- Use power and torque calculations to analyse epicyclic gears and multiple gear drives.
- Understand how power transmission components are used as part of a system, including hybrid drives.
- Determine the operating point and calculate the optimum speed ratio for specified conditions.
- Select a rolling element bearing for a specific duty.
Mechanics of contacts (5L) Dr Richard Roebuck
Hertzian point contacts
Stresses and stiffness
Hertzian line contacts
Applications in bearings and CVTs
Traction drives and CVTs
Gears (6L) Prof. Michael Sutcliffe
Geometry and kinematics
Failure, root bending and contact fatigue
Design and applications
Multiple drives and planetary gears
Design calculations for planetary gears
Power matching (3L) Dr David Cole
Introduction and applications: automotive transmission, bicycle transmission
Sources and loads; devices and their characteristics
Power matching using a simple gear ratio
Rolling element bearings (2L) Dr David Cole
Bearing types; life equation
Shaft and bearing arrangements
Examples paper 1 - Mechanics of contacts (issued at lecture 1)
Examples paper 2 - Gears (issued at lecture 6)
Examples paper 3 - Power matching, rolling element bearings (issued at lecture 12)
Power output characteristic of a cyclist
In this experiment the power output charateristic of a cyclist will be determined by holding the heart rate (a proxy for power input) constant and determining the dependence of crank torque and crank power on crank speed.
- to calibrate and operate instrumentation to measure human power output
- to propose and test an hypothesis using measured data with large inherent uncertainty
- to understand the power output characteristic of a cyclist
- Sessions will take place in the Baker Building, South Wing Mechanics Laboratory, during weeks 2 to 8.
- This activity does involve preliminary work, approximately 30 minutes: read the lab sheet carefully before the session.
- Book a timeslot online.
Full Technical Report:
Students will have the option to submit a Full Technical Report. The FTR should be a complete, detailed, formal report of the experiment, suitable for publication in an engineering journal. It should include all of the information necessary for the reader to understand the aim, objectives, apparatus, method, results, analysis, discussion and conclusions. In addition the FTR should describe in precise engineering terms the operating principles of three different commercially-available devices for measuring cyclist power output, and comment upon likely sources and magnitudes of error.
Please refer to Form & conduct of the examinations.
The UK Standard for Professional Engineering Competence (UK-SPEC) describes the requirements that have to be met in order to become a Chartered Engineer, and gives examples of ways of doing this.
UK-SPEC is published by the Engineering Council on behalf of the UK engineering profession. The standard has been developed, and is regularly updated, by panels representing professional engineering institutions, employers and engineering educators. Of particular relevance here is the 'Accreditation of Higher Education Programmes' (AHEP) document which sets out the standard for degree accreditation.
The Output Standards Matrices indicate where each of the Output Criteria as specified in the AHEP 3rd edition document is addressed within the Engineering and Manufacturing Engineering Triposes.
Last modified: 31/05/2018 10:58