Software pro analýzu lanových konstrukcí

Abstract

This bachelor's thesis deals with the design and development of a custom computational program for the analysis of planar frame structures with cable elements based on direct stiffness method. The solution is implemented in the MATLAB environment. The program enables the determination of nodal displacements, support reactions, and internal forces in individual structural members. The script is also extended to include selected nonlinear tasks, particularly the modelling of cable elements carrying tension only, the inclusion of geometric nonlinearity, and the simulation of progressive failure of overloaded cables. The calculation is performed using an iterative procedure with automatic updating of the structural stiffness according to the current state of the system. The program also contains a post-processing module including text outputs and graphical visualization of the deformed shape of the structure and internal force diagrams. The correctness of the developed solution was verified using test examples and by comparing the results with the SCIA Engineer software.