数值计算求解非线性动力方程

由于非线性动力方程中的外荷载或结构体系随时间发生改变,其解析解往往很难获得,需要采用数值算法进行求解。文章首先介绍了激励线性插值法、中心差分法、Newmark的平均加速度法和线性加速度法的基本原理,随后给出了在Matlab中编制的函数范例及各方法的动力响应求解结果。经与理论解比较,验证了所编制函数的正确性,可作为工程设计人员求解一般非线性动力响应问题的一条简便途径。

Using Numerical Calculation to Solute Nonlinear Dynamic Equations

As the external loads or structural system of nonlinear dynamic equation change over time,the analytical solution is often difficult to obtain,and needs a numerical algorithm.The article first introduces the basic principles of the excited linear interpolation method,central difference method,Newmark's average acceleration method and linear acceleration method,and then gives the function sample in Matlab preparation and the dynamic response solving results of different methods.Compared with the theoretical ...