摘要
介绍了一种平面杆系结构自由振动的常微分方程求解器解法。将计算无限自由度平面杆系结构的自振频率和主振型的广义特征值问题转换为典型的常微分方程边值问题,构造了一系列平凡常微分方程,建立相应的常微分方程组,利用常微分方程求解器予以求解。并利用该方法求解了等截面简支梁和两跨连续梁的自由振动的自振频率和主振型。其计算结果表明,该方法的求解精度和效率较高。
The ordinary differential equation solver method for the free vibration of plane frame structure is presented.It is achieved by transforming the general eigenvalue problem of natural frequency and vibration mode of continuously distributed property system into typical boundary value problem of ordinary differential equation（ODE）.A series of ODEs,corresponding to the general eigenvalue problem,is formed,and then is solved by an general ordinary differential equation solver.Natural frequency and vibration mode of uniform simply supported beam and continuous beam are solved by this method.The result shows that this method is precise and efficient.
出处
《山东农业大学学报（自然科学版）》
CSCD
北大核心
2010年第4期575-578,共4页
Journal of Shandong Agricultural University：Natural Science Edition
关键词
自由振动
常微分方程
边界条件
特征值
求解器
Free vibration
ordinary differential equation
boundary condition
eigenvalue
ODE solver
