Syllabus 2007/2008 VSM051

Syllabus academic year 2007/2008

DYNAMICS OF STRUCTURE

VSM051

Higher education credits: 6. Grading scale: TH. Level: A (Second level). Language of instruction: The course will be given in Swedish. VSM051 overlap following cours/es: VSM045 och VSM045. Optional for: M4, M4mo, V4at, V4hb, V4sa. Course coordinator: Göran Sandberg, Goran.Sandberg@byggmek.lth.se och Per-Erik Austrell, per-erik.austrell@byggmek.lth.se, Byggnadsmekanik. Prerequisites: VSM040 The finite element method or FHL064 The finite element method, and additionally 11p on an advanced level within the areas solid mechanics, mechanics, structural engineering or applied mathematics. (An example of suitable courses for Civil Engineering students are Beam theory, Steel construction, Concrete construction and Applied mathematics.). Recommended prerequisits: Structural Mechanics, Advanced Course, The Finite Element Method (VSM040). The course might be cancelled if the numer of applicants is less than 15. Assessment: The assessment is based on hand-in assignments, two computational reports and a final oral discussion. Home page: http://www.byggmek.lth.se.

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.