The modal analysis of free vibration in truss structures in space with the finite element method is a numerical method for solving real physical problems. On the basis of certain assumptions and limitations of a physical structure we derive a local mass and stiffness matrix of a truss element. After applying a transformation from the local to global coordinate system, we assemble a system matrix of a discretized crane structure. The eigenvalue problem formulation was adopted to compute eigenvalues and the corresponding eigenvectors. The objective of the thesis is the computation of natural frequencies and to animate modal shapes of the crane using a custom Python based program. Results are compared to those generated by the commercially available program Ansys Mechanical APDL. We prove our Python program works with minimum deviation from the reference.
|
