Newmark Method for Dynamic Analysis of Multi-Degree-of-Freedom Systems

This MATLAB-implemented general program utilizes the Newmark method to solve dynamic problems in multi-degree-of-freedom systems, offering significant practical value. The implementation employs Newmark's time integration scheme (typically using parameters beta and gamma for numerical stability) to solve the system of differential equations Mü + Ců + Ku = F(t). Users can customize various parameters including time step size, damping coefficients, and external forcing functions through modular input interfaces. The program structure allows for straightforward extension and modification to address more complex scenarios such as nonlinear systems or varying boundary conditions. Key computational components include: mass/stiffness matrix assembly, time marching algorithm implementation, and result visualization modules. This tool serves as an efficient computational platform for dynamic analysis, enabling users to solve complex动力学 problems with high computational efficiency and accuracy.