Design and Implementation of Dynamic and Static Force Analysis for Beams, Rods, Plates, and Spatial Structures

This document presents structural dynamics programs developed during my master's thesis research, implementing dynamic and static force analysis for beams, rods, plates, and spatial structures. The programs incorporate numerical methods like finite element analysis (FEA) and modal analysis algorithms to simulate structural behavior under various loading conditions. Web-based interfaces display computational results through interactive data visualizations and dynamic graphics.

During my master's thesis investigation, structural dynamics emerged as a critical research domain. The developed programs leverage matrix manipulation techniques and eigenvalue solvers to model structural responses. Through parameterized inputs defining material properties and boundary conditions, these implementations calculate displacement fields, stress distributions, and natural frequencies using time-domain integration methods and frequency-response analysis.

The program architecture incorporates fundamental structural dynamics principles and governing equations. Key functions include stiffness matrix assembly for different element types (beam, rod, plate elements) and damping matrix formulations. Computational modules output results including mode shapes, harmonic responses, and transient analysis data, enabling researchers to quantify structural performance and dynamic characteristics.

Structural dynamics analysis proved essential for thesis research, with these programs providing robust simulation capabilities. The implementation features adaptive time-stepping algorithms for transient analysis and Fourier transform techniques for frequency-domain investigations, supporting accurate decision-making in structural design and evaluation.

In conclusion, these programs constitute powerful computational tools for structural dynamics research. Through systematic implementation of numerical methods and interactive result visualization, they enable deeper investigation of structural behavior and contribute significantly to advancement in computational mechanics.