Department of Mechanical Engineering, Unit Catalogue 2009/10 |
ME20023: Solid mechanics 4 |
 Credits:
| 6 |
| Level:
| Intermediate |
| Period: | Semester 2 |
| Assessment:
| CW 15%, EX 85% |
| Supplementary Assessment: | ME20023 Re-assessment (where allowed by programme regulations) |
| Requisites:
| Before taking this unit you must take ME20016 |
| Description: | 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. |