EG5551 - Transient and Dynamic Analysis

Credit points:	03
Year:	2006
Student Contribution Band:	Band 2
Administered by:

SDOF vibration: free vibration, forced vibration, the Duhamel integral and the response spectrum. MDOF systems: general free vibration, the eigenvalue problem, modal superposition and the response spectrum. The numerical solution of eigenvalue problems: Jacobi and generalise Jacobi iteration, vector iteration methods, polynomial methds, the determinant search method and subspace iteration. Dynamic equilibrium and elastic waves: the continuum dynamic equilibrium equation, the linear elastic case, 1D elastic waves, 3D elastic waves and Rayleigh waves. Earthquake analysis: FE discretization, mass discretization, mass lumping, stiffness discretization and discretization effects. Problem reduction: condensation, perturbation and inverse problems. Time stepping schemes for 1st order problems: the generalized trapezoidal method, stability, linear multistep methods and the Runge-Kutta methods. Time stepping schemes for structural problems: central differences, the Newmark method, stability, dispersion, numerical damping, Houboltys method, collocation schemes, the alpha method, energy and momentum conservation.

Learning Outcomes

• To develop the understanding and skills necessary to analyse linear structures under earthquake loading;
• To explain the discretization of the dynamic equilibrium equations of a continuum;
• To understand the use of time stepping schemes for non linear dynamic and transient problems.

Graduate Qualities

• The ability to define and to solve problems in at least one discipline area;
• The ability to calculate, produce, interpret and communicate numerical information;
• The ability to select and use appropriate IT tools;
• The ability to use a variety of media and methods to retrieve, analyse, evaluate, organise and present information;
• The ability to learn independently and in a self-directed manner.

Prerequisites:

EG5501 and EG5502 and EG5504

Availabilities
, , Study Period 5
Census Date 05-May-2006
Face to face teaching 08-May-2006 to 26-May-2006
Coordinator:	jc146723
Contact hours:	20 hours 10 hours 20 hours
Assessment:	(50%); (50%).
Restrictions:	An enrolment quota applies to this offering.

Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.