动力减振器最优参数的非线性回归和若干问题

本文采用最优化方法求得考虑生系统阻尼的动力减振器最优参数集，并对此参数集进行非线性回归，得到了便于动力减振器最优设计的回归曲线族。本文还对现有的主系统无阻尼时动力减振器最优参数公式进行了讨论，指出了这些公式的局限性，并根据本文的结果给出了应用范围更广泛的改进公式。

NONLINEAR REGRESSION OF OPTIMUM PARAMETERS FOR DYNAMIC VIBRATION ABSORBER AND SEVERAL RELEVANT QUESTIONS

An optimum method is applied to the derivation of optimum parameters for dynamic vibration absorber upon consideration of tbe main systematic damp. These parameters are nonlinearly regressed. As a result,families of curves for optimum design of dynamic vibration absorber are obtained. Further discussion is directed to the optimum parameter equations for dynamic vibration absorber with no damp considered in the main system. These equations are commonly recommended in today's textbooks and designing handbooks. This paper points out the limitations of these equations and,based on results of the present study,puts forward a group of revised equations,improved for wider application.