垂直冲击消振系统简谐激励响应及稳定性分析

ANALYSIS OF HARMONIC EXCITATION RESPONSE AND STABILITY OF VERTICAL IMPACT DAMPER SYSTEM

  • 摘要: 运用迭代映射及其稳定性分析原理,研究了垂直冲击消振系统的简谐激励响应及其周期响应的稳定性. 首先建立了稳定周期响应的参数区域边界方程,分析了稳定周期运动向混沌转变的一般规律. 然后以典型的二阶主振系为例,得到了几个对消振效果影响较大的稳态周期响应区域的详细数值结果,讨论了稳态周期响应区域及附近的消振效果.

     

    Abstract: With the theory of iterative mapping and stabilityanalysis, the harmonic excitation response and periodic response stabilityof a vertical impact damper system is studied. First, the equation ofparameter boundary of stable response is set up. General rules oftransformation from stability to chaos are analyzed. Finally, numericalresults with a better damper effect are obtained by analyzing a typicalquadratic periodic response vibration system. The vibration reduction effectsfor stable state periodic response around the region are discussed.

     

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