|Owning Department/School:||Department of Mechanical Engineering|
|Level:||Intermediate (FHEQ level 5)|
|Assessment:||CW 15%, EX 85%|
|Supplementary Assessment:||ME20023 Re-Assessment Examination (where allowed by programme regulations)|
|Requisites:||This unit is not normally available to visiting/exchange students.|
To extend the student's knowledge of the vibrations of mechanical systems into the multi-degree of freedom context.
To examine techniques for the reduction of vibrations.
To introduce more advanced concepts of structural analysis, including finite element analysis of redundant frameworks and buckling of struts.
After taking this unit the student should be able to:
* Determine buckling loads for simple one degree of freedom systems and elastic struts.
* Understand the influence of imperfection on buckling.
* Formulate equations of motion from simple Lagrangian functions. Formulate mass, damping and stiffness matrices.
* Obtain natural frequencies and mode shapes of multi-degree of freedom systems.
* Find the response of systems with several degrees of freedom to harmonic excitation. Introduction to modal coordinates.
* Describe practical ways of reducing vibration.
* Recognise mechanisms, and statically determinate and indeterminate (redundant) structures.
* Assemble stiffness matrices for frameworks.
* Determine the displacement and member forces of redundant structures.
Problem solving; numeracy; working independently.
Introduction to buckling: one degree of freedom systems; strut buckling; effective length; imperfect struts. Lagrangian methods: virtual work and energy. Vibrations in multi-degree of freedom systems; practical control measures. Introduction to finite element analysis: redundant structures; stiffness matrix method. Solid mechanics laboratory experiment.
ME20023 is Compulsory on the following programmes:Department of Mechanical Engineering