Syllabus academic year 2009/2010
(Created 2009-08-11.)
STRUCTURAL DYNAMIC COMPUTINGVSMN10

Higher education credits: 7,5. Grading scale: TH. Level: A (Second level). Language of instruction: The course might be given in English. VSMN10 overlap following cours/es: VSM045, VSM051, VSM045 och VSM051. Optional for: M4, V4hb, V4sa. Course coordinator: Professor Göran Sandberg, goran@byggmek.lth.se och Per-Erik Austrell, pea@byggmek.lth.se, Byggnadsmekanik. Recommended prerequisits: VSM040 The finite element method or FHL064 The finite element method. Knowledge of applied mechanics. 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

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

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

The lectures describe the theoretical concepts in relation to the application, with conceptual construction assignments which show how the realistic questions enhance the mathematical and numerical descriptions. The construction assignments in a first phase relate to applied mechanics. They can be developed into other transient problems i.e. whithin thermal conduction, still with the finite element method as basis for the work.

Beyond this moments dealing with general computer code systems for finite element analysis, i.e. Abaqus, Nastran or LS-Dyna are planned. This kind of computer code systems can be used in a wide range of physical/engineering problems. Construction assignment 2 is designed so that it is natural to use one of these systems. Further, computer systems and computational strategies for high performance computing are discussed. These latter moments are carried out in cooperation with Lunarc, Center for Scientific Computing at Lund University. The computer systems that Lunarc have at their disposal will also be used in the course. For further information, see www.lunarc.lu.se.

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.