1.纽马克算法，振动分析方法，计算多自由度系统振动响应，位移，速度，加速度

2.用于计算多自由度系统固有频率、固有振型、模态质量、模态刚度矩阵、正则模态向量、受迫响应振动

3.里兹法是一种缩减系统自由度的近似方法，用于多自由度系统的求解

4.庞加莱截面图法，用来对多变量自治系统的运动进行分析

5.频谱图法，用于系统的频域分析

6.线加速度法求解系统振动响应

7.雨流计数法，主要用于工程界, 特别在疲劳寿命计算中运用非常广泛，对载荷的时间历程通过计数的过程反映了材料的记忆特性-1. Newmark algorithm, vibration analysis method to calculate multiple degrees of freedom system vibration, displacement, velocity, acceleration 2. Multi-DOF system for calculating the natural frequencies, mode shapes, modal mass, modal stiffness matrix, normal modes state vector, forced vibration response 3. Ritz method is an approximate method to reduce the degrees of freedom for multi-degree of freedom systems solving 4. Poincare sectional view method for multivariable autonomous motion system are 5. the spectrum analysis method for frequency domain analysis system 6. the method for solving linear acceleration system vibration 7. the rain flow counting method, mainly used in engineering, especially used in the calculation of the fatigue life of a very wide range of load time through the course of the process of counting it reflects the memory characteristics of the material