干摩擦动力吸振器简谐激励响应计算的最优化方法研究

STUDY ON THE RESPONSE COMPUTATION METHOD OF A TWO DEGREES-OF-FREEDOM VIBRATION ABSORBER SYSTEM WITH VARIABLE COEFFICIENT OF SLIDING FRICTION USING OPTIMUM APPROXIMATE TECHNIQUE

研究了两自由度滑动摩擦系数随相对速度变化的干摩擦吸振系统简谐激励响应计算问题 ,提出了最优化处理方法 ,并推导了相应的迭代方程。通过一个数值例分析 ,考察了干摩擦动力吸振器的性能及简化为理想干摩擦模型时带来的计算误差。

In the paper,by using Fourier Series,basic harmonic balancing approximation and optimum numerical iterration,the response computation of a two-degrees-of-freedom dry friction damped vibration absorber system with velocith-dependent variable coefficient of sliding friction under harmonic excitation is discussed.The numerical iterration equations are derived and the error between systems with coulomb friction and with velocity-dependent variable coefficient of sliding friction is put forward.