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两柔性梁碰撞振动的非相似模态 被引量:1

DISSIMILAR MODES OF A PAIR OF IMPACTING FLEXIBLE BEAMS
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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
关键词 碰撞振动 内共振 模态 柔性梁 空间结构 vibro impact, internal resonance, mode
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