摘要
非线性振动系统的数值仿真需要高效的程序和算法来缩短计算时间。以含有对称间隙的2自由度振动系统为研究对象,通过对2自由度线性系统建立传递函数,确定分段线性振动系统的碰撞频率范围,应用数值仿真方法分析,并设计一个与数学模型完全等效的Multisim电子电路模型,通过对比得到完全相同的结果。碰撞频率范围的确定和Multisim电路模型求解非线性方程,实现简单直观,对编程的能力要求低,使计算效率得到提高,为非线性动力学的研究提供了一种参考方法。
Numerical simulation of nonlinear vibration systems needs efficient programs and algorithms to save the computer time consuming.In this paper,the 2-DOF vibration system with a symmetrical gap is studied.The transfer function of the 2-DOF linear system and the corresponding mathematical model are established and the collision frequency range of the piecewise linear vibration systems is determined.An effective Multisim electronic circuit model completely equivalent to the mathematical model is designed.Its computation results are exactly the same as those from the mathematical model.The computation method using the Multisim electric circuit model is simple and intuitive and has low requirements for programming and high computation efficiency.This method provides a reference method for the nonlinear dynamics study.
作者
常逢亮
汪诤
胡国静
CHANG Fengliang;WANG Zheng;HU Guojing(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《噪声与振动控制》
CSCD
北大核心
2021年第3期41-45,共5页
Noise and Vibration Control
基金
国家自然科学基金资助项目(11862011)。
关键词
振动与波
非线性振动
传递函数
频率范围
等效电路
仿真
vibration and wave
nonlinear oscillations
transfer function
frequency range
equivalent circuit
simulation
