Unit name | Structural Dynamics |
---|---|
Unit code | CENGM0050 |
Credit points | 10 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Professor. Alexander |
Open unit status | Not open |
Pre-requisites |
None |
Co-requisites |
None |
School/department | Department of Civil Engineering |
Faculty | Faculty of Engineering |
By the end of this unit, successful students will have a deeper understanding of dynamic and seismic analysis of single and multi degree of freedom systems; derive the stiffness, load and mass matrices for simple structural finite elements; understand the operation of the important components of a finite element program; understand the characterisation of seismic loads; carry out a static and seismic analysis of a structure using a commercial computer programme.
Aims:
To apply the concepts of single degree of freedom and multi-degree of freedom structural dynamics in the context of the analysis of structures subjected to seismic (i.e. earthquake) loading.
To extend the students knowledge of the Finite Element method by developing a general expression for the stiffness matrix and applying it to in-plane static and dynamic problems.
On successful completion of the course, the students will be able to:
ULO 1. understand and apply advanced dynamic analysis techniques for single degree of freedom (SDOF) systems;
ULO 2. be able to calculate the response of SDOF systems to periodic and non-periodic forcing
ULO 3. understand the concept of generalized coordinates
ULO 4. be able to calculate frequencies of vibration and mode shapes for simple multi-degree of freedom systems and understand how to obtain the response of such systems to seismic and other types of forcing;
ULO 5. apply the concept of earthquake response spectra in the framework of advanced seismic analysis
ULO 6. be able to derive stiffness and mass matrices and load vectors for simple elastic truss and beam elements and to apply the finite element method to simple static and dynamic problems
ULO 7. be able to conduct a seismic response spectrum analysis of a multi degree of freedom system.
20 hrs of lectures (10 x 2hr)
80 hrs private study
Examination (January) 100% (UL0 1-7)
Please note that regular formative feedback will be provided through teaching activity such as simple exercises and optional activities.
A.K.CHOPRA, Dynamics of Structures. (1995) Prentice-Hall Inc.
R. CLOUGH & J. PENZIEN, Dynamics of Structures. (1993) Mcgrawhill Inc
D. BECKET & A.A. ALEXANDROU, An Introduction To EC2 Design Of Concrete Structures Including Seismic Action. (1998) SPON.
D. KEY, Earthquake Design And Practice For Buildings. (1988) Thomas Telford, London.
S.L. KRAMER, Geotechnical Earthquake Engineering, (1996) Prentice-Hall Inc.
C. CHATFIELD, The Analysis of Time series, an introduction (1996) Chapman & Hall.
B.A. BOLT, Earthquakes, (fourth Ed) (1999) W.H.Freeman & Co.
J.R. MAGUIRE & T.A. WYATT, Dynamics, an introduction for civil and structural engineers. ICE Design and practice Guide. (1999) Thomas Telford Ltd.
B.O. SKIPP, (ed) Ground dynamics and man made processes. (1998) Thomas Telford Ltd.
Y.K Cheung, and M.F. Yeo, A practical introduction to finite element analysis.