摘要
针对多自由度无阻尼线性定常系统,利用能量原理提出构造微分方程系数矩阵方法.在建立运动微分方程的过程中,应用该方法无需对时间求导和对方程进行整理化简,而且该方法适用于单自由度系统又适用于多自由度系统,还便于手工建模或计算机建模.
A new method of constructing the differential equation coefficient matrix is put forward, pointing to the undamping multiple degrees of freedom linear constant systems, based on energy principle. Establishing the motion differential equations does not need derivate and to rearrange the equations. The method is not only suitable for single degree of freedom system but also for multiple degrees of freedom system. Furthermore, it is convenient for man or computer to construct the mathematic model.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2007年第4期351-354,共4页
Journal of Henan University:Natural Science
基金
河南省科技攻关资助项目(004051700)
关键词
微分方程
多自由度无阻尼线性振动系统
数学建模
动能
势能
differential equation
unpamping multiple degrees of freedom linear vibration system
mathematic model
kinetic energy
potential energy
