Structural Dynamic Response Analysis Using Newmark Method, Wilson Method, State Space Method, and Subspace Iteration Method

Resource Overview

This program performs dynamic analysis of a nine-bar structure, implementing numerical methods including Newmark method, Wilson method, state space method, and subspace iteration method to solve structural dynamic responses, with graphical visualization capabilities.

Detailed Documentation

This program was developed specifically for dynamic analysis of a nine-bar structure. The implementation incorporates multiple numerical methods including Newmark method (for direct time integration with parameters controlling numerical stability), Wilson method (an extension of Newmark method with improved stability characteristics), state space method (transforming higher-order differential equations into first-order systems), and subspace iteration method (for efficient eigenvalue solutions in large systems). The graphical display functionality allows clear observation and analysis of structural behavior through time-history responses and modal visualization. Beyond these implemented methods, the program architecture supports integration of additional algorithms such as Runge-Kutta methods or modal superposition techniques to further enhance computational performance and accuracy. The modular design also facilitates extension to support various structural types including frame structures, truss systems, and continuum elements, while maintaining compatibility with different analysis approaches to meet diverse user requirements.