中心刚体-变截面梁系统的动力学特性研究  

DYNAMICS OF HUB-VARIABLE SECTION BEAM SYSTEMS

作　　者：陈思佳[1] 章定国[1] 

机构地区：[1]南京理工大学理学院,南京210094

出　　处：《力学学报》2011年第4期790-794,共5页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(10772085);江苏省"青蓝工程"资助项目~~

摘　　要：对在平面内做大范围转动的中心刚体-变截面梁系统的动力学进行了研究.考虑柔性梁横向弯曲变形和纵向伸长变形,且在纵向位移中计及由于横向变形而引起的纵向缩短项,即非线性耦合变形项.采用假设模态法描述变形,运用第二类Lagrange方程推导得到系统刚柔耦合动力学方程.在此基础上对做大范围旋转运动的中心刚体-楔形梁以及中心刚体-梯形梁模型的动力学进行了详细研究.研究表明:梁宽比、梁高比以及梯形梁变截面位置都对系统的动力学特性有很大影响.The dynamics of a hub-variable section beam system rotating in a plane is investigated,where the beam is a flexible one.Both the transversal and the longitudinal deformations of the flexible beam are considered. And in the total longitudinal deformation the non-linear coupling term,also known as the longitudinal shortening caused by transversal deformation,is considered.The approach of assumed modes is used to describe the deformation of the flexible beam.The rigid-flexible coupling dynamic equations of the system are established via employing the second kind of Lagrange＇s equation.Then dynamic characteristics of both of the hub-tapered beam system and the hub-trapezium beam system undergoing large overall motions are investigated in details by using numerical simulation.The results obtained in the investigation indicate that the ratio in width,the ratio in height and the variable section position of the trapezium beam will have a larger impact to the dynamic response and the chord-wise bending natural frequencies.

关 键 词：变截面梁 刚柔耦合 动力学 固有频率 仿真 

分 类 号：O313.7[理学—一般力学与力学基础]