摘要
本文通过提出计算函数乘积的拉氏变换的新算法─—Ｓ积＊运算，使一维拉氏变换解决非线性系统问题成为可能。通过此方法和Ｖｏｌｔｅｒｒａ方法求得的一阶、二阶非线性系统的传递函数和脉冲响应解析式是相同的。但计算更为方便。
A new algorithm is proposed to calculate the laplace transform of the produet of functions,so that the transformation can be used to solve the problem of nonlinear systems.The nonlinear transfer-functions and approximate pulse response of the first and second order systems calculated by this method are the same as those by volterra series method, and can be obtained more conveniently.
出处
《振动与冲击》
EI
CSCD
北大核心
1996年第4期21-26,共6页
Journal of Vibration and Shock
关键词
非线性系统
振动
LB变换
S积运算
Laplace transform,nonlinear systems shaffle product,nonlinear ordinary differential equation, harmonic balance method
