间隙约束悬臂梁系统动力行为研究

STUDY ON THE DYNAMIC BEHAVIOR OF CANTILEVER BEAM SYSTEMS WITH A CLEARANCE RESTRICTION

  • 摘要: 运用分段线性系统分析理论,研究了间隙约束的悬臂梁振动系统在简谐激励下系统稳态响应的动力学行为. 首先建立了间隙约束悬臂梁系统的动态响应分析模型,以传递函数为基础,推导出系统的动力学分析方程及其求解方法. 然后对系统进行了数值求解分析,得到了该系统稳态响应随激励幅值、激励频率、间隙接触刚度和阻尼变化的一般规律.

     

    Abstract: Using piecewise linearity system theory, the nonlinear response of a clearance-restriction cantilever beamsystem to a harmonicexcitation is researched. Firstly, the dynamic model of this system is built.Based on the transmission function, the dynamical equation and itssolution are derived. The obtained numerical solution show the changefeature of the dynamic response character with the excitation frequency,excitation amplitude, contact rigidity and contact dumper.

     

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