Brief review of single-degree-of-freedom systems. Formulation of the multi-degree-of-freedom (MDOF) equation of motion by FEM (semidisretization). One-dimensional elements. Normal-mode method of dynamic analysis. Damping of MDOF systems. Direct numerical integration methods. Numerical stability and accuracy. Framed structures (trusses, frames grids). 2-D and 3-D continua (numerical integration, isoparametric elements). Substructure methods (Guyan reduction and modified tridiagonal methods).
Structural dynamics by the finite element method
- Institution:
- University of Patras
- Specialization:
- EE - Earthquake Engineering
- Term:
- Fall 2010
- Teacher(s):
- DIMITRI KARABALIS
- Credits:
- 8
- Date (from - to):
- 01/10/2010 – 20/02/2011
Suggested readings:
- Chopra, A. “Dynamics of Structures: Theory and applications to earthquake engineering” 3rd Edition, Prentice Hall.
- Weaver, W., Jr. and Johnston, P.R. “Structural Dynamics by Finite Elements, Prentice Hall, Englewood Cliffs, NJ, 1987.
- Various published articles.
Notes:
Prerequisites
- Introduction to structural dynamics.
- Introduction to the finite element method.
- Working knowledge of computational tools, e.g. MATLAB, MATHCAD, etc.
Teaching and learning methods
Lectures accompanied by a series of about 5-6 homework assignments involving computational tools (e.g. MATLAB, etc.) plus 2-3 short projects involving the dynamic earthquake analysis of structures using commercial software (e.g. SAP, etc.)
Assessment and grading methods
A take home final exam. Successful completion and submission of all homework assignments and projects may count up to 2/3 of the final grade.