Department of Mechanical Engineering, Unit Catalogue 2008/09 |
ME20023 Solid mechanics 4 |
| Credits: 6 |
| Level: Intermediate |
| Semester: 2 |
| Assessment: CW 15%, EX 85% |
| Requisites: |
| Before taking this unit you must take ME20016 |
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Aims:
* 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. Learning Outcomes: 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. Skills: Problem solving; numeracy; working independently. Content: 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. |