摘要
该文研究了柔性梁作大范围旋转运动时的撞击动力学问题。采用子系统法建立了考虑"动力刚化"效应的系统刚柔耦合动力学方程,并采用假设模态法描述变形,将偏微分形式的动力学方程转化为常微分方程。采用Hertz接触理论和非线性阻尼理论建立接触-碰撞模型,导出柔性梁含碰撞的动力学方程。文中给出了算例,验证了该文方法,并对大范围旋转运动下的柔性梁的动力学进行了探讨。
The impact dynamics of a flexible beam in large overall motion is reported. A set of dynamic equations with the dynamic stiffening effects is established by utilizing the subsystem method. The approach of assumed modes is used to describe the deformation of the beam, and subsequently the partial differential dynamic equations are changed to the form of ordinary differential equations. To obtain dynamic equations with impact, the Hertzian contact theory and nonlinear damping theory are adopted to calculate the impact force. To validate the method presented here, the dynamic simulation of the hub-beam system involving impact with a horizontal rigid plane is given as an example.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2008年第6期661-665,共5页
Journal of Nanjing University of Science and Technology
基金
国家自然科学基金(10772085)
江苏省自然科学基金(BK2007205)
南京理工大学青年学者基金(NJUST200504)
南京工程学院科研基金(KXJ08102)
关键词
柔性梁
子系统法
假设模态
接触-碰撞
连续力法
flexible beams
subsystem methods
assumed modes
contact-impact
continuous force approach
