机构地区: 安徽理工大学力学系,安徽淮南232001
出 处: 《牡丹江师范学院学报(自然科学版)》 2017年第3期21-24,共4页
摘 要: 提出求解强非线性振动方程的加权余量递推法,给出其一般形式.加权余量递推法采用递推方法对基函数的待定系数进行求解,避免了求解多元高次非线性方程组的困难,不受小参数限制;能够对远离共振、主共振及谐波共振的周期解进行统一求解.以强非线性Duffing方程的求解作为算例,证明该方法的精确性及有效性. In this study,we employ the recursive weighted residual method to provide an approximate analytical method for finding asymptotic solutions to nonlinear vibration equations.This method overcomes computational shortcomings of traditional methods to nonlinear vibration equations.Finally,we apply this method to Duffing equation and demonstrate its efficiency in solving nonlinear dynamic equations.