刚-柔耦合的对称天线结构非线性主共振

发布时间：2018-03-23 12:04

本文选题：刚柔耦合　切入点：天线结构　出处：《中国科学:物理学力学天文学》2017年10期

【摘要】：本文研究了主共振激励下空间天线的非线性动态响应.考虑机械臂与天线的耦合,提出了一种由两级刚性臂与两根各向同性柔性梁组成的T-型梁式结构.采用Lagrange方程和假设模态方法,建立了T-型刚柔耦合天线面内四自由度非线性动力学方程.利用多尺度法获得主共振三次近似解,得出系统主共振幅频响应解析方程.对系统幅频响应进行分析,结果表明主共振响应存在多解和非线性跳跃现象,激励对模态幅值及非线性特性具有显著影响.随着激励的增大,系统出现由刚度硬特性向软特性的转变;当激励超过临界值时,系统幅频响应表现出刚度渐软特性,共振频率随简谐激励幅值的增大而减小.
[Abstract]:In this paper, the nonlinear dynamic response of a space antenna under the main resonance excitation is studied, and the coupling between the manipulator and the antenna is considered. A T- shaped beam structure consisting of two rigid arms and two isotropic flexible beams is proposed. The Lagrange equation and the assumed mode method are used. The nonlinear dynamic equation of four degrees of freedom in the plane of T- type rigid-flexible coupling antenna is established. The three-order approximate solution of the main resonance is obtained by using the multi-scale method, and the analytical equation of the main common amplitude frequency response of the system is obtained. The amplitude and frequency response of the system is analyzed. The results show that there are multiple solutions and nonlinear jump phenomena in the main resonance response, and the excitation has a significant effect on the modal amplitude and nonlinear characteristics. With the increase of the excitation, the system changes from stiffness and hard to soft characteristics. When the excitation exceeds the critical value, the amplitude-frequency response of the system shows the characteristic of stiffness softening, and the resonance frequency decreases with the increase of the harmonic excitation amplitude.
【作者单位】：南京航空航天大学机械结构力学及控制国家重点实验室;
【基金】：国家自然科学基金重大项目(编号:11290153) 装备预研基金资助项目(编号:6140210010202) 江苏高校优势学科建设工程资助项目
【分类号】：TN820

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