Linear perturbation analysis of a truss model
A linear perturbation analysis is performed for a two-dimensional truss structure modeled with matrices.
Elements tested
T2D2
Problem description
Model:
Some of the truss elements are replaced by sparse matrices representing stiffness.
Material:
Young's modulus = 2.0 × 1011, Poisson's ratio = 0.3.
Boundary conditions:
The truss model is simply supported with a hinge support on one end and a roller support on the other end. The nodes with boundary conditions are part of the matrices.
Loading:
Concentrated loads are applied at nodes that are either part of the matrices or shared between a matrix and an element.
Results and discussion
Displacements and loads from the matrix-based model are compared to the element-based model.
Input files
- truss_matrix.inp
-
Truss model with matrix.