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变滑动摩擦系数振子简谐激励Krylov-Bogoliubov计算方法 被引量:8

KRYLOV-BOGOLIUBOV METHOD OF RESPONSE COMPUTATION OF A VIBRATOR WITH VELOCITY-DEPENDENT VARIABLE COEFFICIENT OF SLIDING FRICTION UNDER HARMONIC EXCITATION
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摘要 研究了单自由度滑动摩擦系数随相对速度变化的干摩擦振动系统简谐激励响应计算问题 ,运用Krylov Bogo liubov近似方法推导了相应的频响方程。通过一个数值例分析 。 By using the Krylov Bogoliubov approximate technique, the response computation of a single degree of freedom dry friction damped system with velocity dependent variable coefficient of sliding friction under harmonic excitation was discussed. And the amplitude frequency equation was also derived. According to the view of energy balancing, the restrictive condition of existence for the stationary solution was deduced from the energy balancing equation. Finally, a numerical sample was used to investigate the error between the system with coulomb friction and the one with velocity dependent variable coefficient of sliding friction. It is shown that in the zoon which being away from the resonance frequency, two models will have the negligible difference, quite the contrary, while in the zoon which being near to the resonance frequency.
出处 《机械强度》 CAS CSCD 北大核心 2002年第1期56-58,共3页 Journal of Mechanical Strength
基金 中国博士后科学基金资助项目 ([中博基 ] 97 7)~~
关键词 非线性振动 滑动摩擦系数 库仑干摩擦模型 响应计算 Nonlinear vibration Coefficient of sliding friction Coulomb friction model Response computation
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参考文献2

  • 1陈振藩.非线性振动[M].南京:南京航空学院,1992..
  • 2Xapke A A.自振[M].北京:科学出版社,1965..

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