全部

力学与实践 ›› 2006, Vol. 28 ›› Issue (1): 0-0.doi: 10.6052/1000-0992-2005-047

• 应用研究 •    

垂直冲击消振系统简谐激励响应及稳定性分析

赵登峰   

  1. 西南科技大学 四川绵阳 621000
  • 收稿日期:2005-02-06 修回日期:2005-06-16 出版日期:2006-02-10 发布日期:2006-02-10

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

  • Received:2005-02-06 Revised:2005-06-16 Online:2006-02-10 Published:2006-02-10

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.

关键词: 冲击消振器, 分岔, 混沌

Abstract: With the theory of iterative mapping and stability analysis, the harmonic excitation response and periodic response stability of a vertical impact damper system is studied. First, the equation of parameter boundary of stable response is set up. General rules of transformation from stability to chaos are analyzed. Finally, numerical results with a better damper effect are obtained by analyzing a typical quadratic periodic response vibration system. The vibration reduction effects for stable state periodic response around the region are discussed.

Key words: impact damper, bifurcation, chaos