MX″(t)+CX′(t)+KX(t)=F(t)解析解的两个实例应用

Application of the Analytical Solution for Equation MX″(t)+CX′(t)+KX(t)=F(t)

文献[1]给出刚性动力常微分方程的解析解,并给出方程解的一般形式,在一般解析解的情况下,进一步讨论其理论上数值解。文章在此基础上探求实例应用,并且解析其运算过程。

An analytical solution in its general form for stiff ordinary differential equation MX″(t)+CX′(t)+KX(t)=F(t)is presented in Reference[1].In this paper,the numerical solution is further discussed based on the general form of analytical solution.Moreover,a computing algorithm for the numerical solution is presented and the practical applications are investigated.