摘要
依据线性时变微分方程组理论,以时间离散化数值解来逼近相应解析解的方式,在首次放弃将系统在一系列小区间内假定为时不变的前提下,提出了一种建立在线性时变振动系统动力学方程系数矩阵运算基础上的区间状态转移矩阵逼近算法。该算法不仅解题规模小,计算效率高,而且理论依据充足,数值计算可靠,既可用于一般线性时变振动系统的瞬态响应分析,又可用于周期系数线性振动系统的稳态响应求解和动态特性研究,具有很好的适用性。
According to the theory of linear differential equations, an algorithm for the dynamic response of linear time -varying vibration systems is proposed. Its particular feature is thn.t analytic solution of the State Transition Matrix in a small period of time is approximated numerically, without assuming the time - varying coefficient matrix of linear time - varying vibration systems to be a constant coefficient matrix in a small period of time. The algorithm is not only suitable for solving transient state response of a linear time - varying vibration system, but also suitable for solving steady - state response of a periodical time - varying vibration system and studying its dynamic characteristic.
出处
《中国纺织大学学报》
CSCD
1998年第3期67-73,共7页
Journal of China Textile University
基金
国家自然科学基金资助项目
关键词
时变振动系统
变结构
连杆机构系统
线性振动
time - varying vibration system, state transition matrix in a small period of time, approximate algorithm
