RES.2-002 | Spring 2010 | Graduate

Finite Element Procedures for Solids and Structures

Nonlinear Analysis

Lecture 8: 2-Noded Truss Element - Updated Lagrangian Formulation

Topics: The two-noded truss element - updated Lagrangian formulation

  • Derivation of updated Lagrangian truss element displacement and strain-displacement matrices from continuum mechanics equations
  • Assumption of large displacements and rotations but small strains
  • Physical explanation of the matrices obtained directly by application of the principle of virtual work
  • Effect of geometric (nonlinear strain) stiffness matrix
  • Example analysis: Prestressed cable

Instructor: Klaus-Jürgen Bathe

Course Info

As Taught In
Spring 2010