DYNAMICS OF STRUCTURE | VSM051 |

**Aim**

The aim of the course is to give methods within modern structural dynamics and application of those withim various fields of structural design, i.e. building and vehicle design.

*Knowledge and understanding*

For a passing grade the student must

- Be able to solve conceptual construction assignments based on some real structural problems.
- Be able to measure and discuss physical properties on these structures.
- Be able to verify obtained computational results against experimentally measured values.
- Be able to identify and handle the physical concepts and their mathematical syntax.

*Skills and abilities*

For a passing grade the student must

- Be able to analyse general single-dof-problems.
- Be able to define, calculate and analyse structural dynamics multi-dof-problems, based on a finite element formulation.
- Be able to use and assess different solution strategies for structural dynamics problems.
- Be able to use advanced computational methods in structural dynamics to solve problems where there are several alternative solution possibilities, and be able to assess differencies in method and result.
- Present and argue for the chosen solution method at a final seminar.

*Judgement and approach*

For a passing grade the student must

- Be able to assess different solutions and their accuracy.
- Be able to critically examine both own and others proposed solutions in an open discussion.
- Be able to propose solution based on incomplete data, recognise their scope and propose changes in basic conditions.
- Be able to summarise results in a computational report and assess colleagues' reports in relation to one's own.

**Contents**

Single-dof models. Generalized Single-dof models; rigid body models, models for deformable bodies. Time integration; Newmarks method, implicit method, explicit method. Multi-dof models; finite elements, direct integration, modal superposition, eigenvalue analysis, response diagram. Earthquake analysis.

**Literature**

Chopra, A. K.: Dynamics of Structures, Prentice Hall, 1995 or alt. litt. CALFEM ver 3.3 - A finite element toolbox to MATLAB. Structural Mechanics and Solid Mechanics. Lund University, Lund 1999.