摘要
研究以Hertz接触模型描述的两柔性梁的碰撞振动,通过坐标变换将系统投影到环面上分析其模态动力学问题,揭示碰撞模态呈现非相似性质。
Unavoidable clearances exist in the space structure composed of elastic rods and beams so that the free vibro impacts between the flexible components occur when the structure is subject to any environmental disturbance. As a preliminary study, this paper deals with the free vibro impacts between two flexible beams. By means of the Hertz formula for contact force and the Galerkin approach, the pair of impacting beams is simplified to an impacting system of two degrees of freedom. After a series of transforms, the free vibro impact of the system is characterized by two variables spanning a torus. The numerical simulation showed that the nonlinear modes of the system do not keep the similarity when the vibro impacts become strong.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1998年第3期357-360,共4页
Acta Aeronautica et Astronautica Sinica
基金
国家自然科学基金
国家教委跨世纪优秀人才基金