Advanced topics in computational mechanics with emphasis on dynamic analysis

Course Information:

Course ID:GEnvE 864
Type of Course:Elective
Semester:Fall

Instructor: Professor Y. Tsompanakis

Course objectives:

Students will improve their knowledge of the issues covered in the context of the course in order to be able:

  • To understand and optimize the process required to achieve an effective and reliable numerical simulation of complex problems in computational mechanics.
  • To understand the basic principles of finite element method (FEM) and learn how to use various types of finite elements (beam, plane stress/strain, three dimensional, etc).
  • To be able to deal with errors that may arise during the numerical simulation and the solution of static and dynamic problems in computational mechanics
  • To perform linear and nonlinear static and dynamic analyses FEM and be able to understand and interpret the results.
  • To understand the basic structure and functions of a complex FEM software.
  • To master advanced FEM software capabilities and to be capable of effectively utilizing them for the static and dynamic analysis of various types of structures.

Course contents:

  • Overview of numerical simulation issues in structural mechanics.
  • Matrix stiffness method and its application in analysis of planar and spatial frame & truss structures.
  • Application of the matrix stiffness method in computer software.
  • Finite element method (FEM).
  • Beam finite elements.
  • Plane stress and strain finite elements.
  • Three-dimensional finite elements.
  • Finite element mesh generation, discretization errors - adaptive FEM.
  • Numerical solution techniques for FEM equilibrium equations.
  • Structure and storage of stiffness matrices.
  • Domain decomposition methods - Parallel programming techniques.
  • Non-linear structural analysis - Numerical integration of dynamic equilibrium equations for single- and multi-degree of freedom engineering systems.
  • Special issues in computational mechanics.
  • Application of the finite element method in the static and dynamic analysis of complex structures using advanced software (commercial and/or open-source).

Work load:

  • Weekly exercises
  • Semester project report

Assessment method:

  • Weekly exercises (20%)
  • Semester project report (50%)
  • Final presentation (20%)

Last modification: 10-10-2018