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## ME20023: Solid mechanics 4

Owning Department/School: Department of Mechanical Engineering
Credits: 6
Level: Intermediate (FHEQ level 5)
Period: Semester 2
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.
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.
Programme availability:

#### ME20023 is Compulsory on the following programmes:

Department of Mechanical Engineering
• UEME-AFB26 : BEng (hons) Aerospace Engineering (Full-time) - Year 2
• UEME-AKB26 : BEng (hons) Aerospace Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB01 : BEng (hons) Automotive Engineering (Full-time) - Year 2
• UEME-AKB01 : BEng (hons) Automotive Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB16 : BEng (hons) Mechanical Engineering (Full-time) - Year 2
• UEME-AKB16 : BEng (hons) Mechanical Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB41 : BEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time) - Year 2
• UEME-AKB41 : BEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFB38 : BEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time) - Year 2
• UEME-AKB38 : BEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM04 : MEng (hons) Aerospace Engineering (Full-time) - Year 2
• UEME-AKM04 : MEng (hons) Aerospace Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM01 : MEng (hons) Automotive Engineering (Full-time) - Year 2
• UEME-AKM01 : MEng (hons) Automotive Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM16 : MEng (hons) Mechanical Engineering (Full-time) - Year 2
• UEME-AKM16 : MEng (hons) Mechanical Engineering (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM41 : MEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time) - Year 2
• UEME-AKM41 : MEng (hons) Mechanical Engineering with Advanced Design and Innovation (Full-time with Thick Sandwich Placement) - Year 2
• UEME-AFM38 : MEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time) - Year 2
• UEME-AKM38 : MEng (hons) Mechanical Engineering with Manufacturing and Management (Full-time with Thick Sandwich Placement) - Year 2

Notes:
* This unit catalogue is applicable for the 2012/13 academic year only. Students continuing their studies into 2013/14 and beyond should not assume that this unit will be available in future years in the format displayed here for 2012/13.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.