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在实际工程中,为了降低结构的振幅,常在已知结构上附加吸振器。由于粘滞阻尼的大小随温度变化,橡胶型吸振器的性能常不稳定。而具有库仑摩擦阻尼的吸振器可以克服这种现象。但库仑摩擦力是非线性的,因而对干摩擦吸振器的分析比较困难。文献[2]首先将库仑摩擦力展成富氏级数,并分析了同时具有库仑摩擦阻尼和粘滞阻尼的M—K单自由度体系。本文延伸了文献[2]的方法,给出了附加了干摩擦吸振器的任意复杂结构在基础作正弦激振时的富氏级裁解解,论述了级数解的收敛性,讨论了仅取级数的一阶项作为近似解的条件,提出了改进近似解的方法,还给出了选择这种吸振器的最佳参数的方法。
In practical engineering, in order to reduce the amplitude of the structure, the vibration absorber is usually added to the known structure. Due to the size of viscous damping changes with temperature, the performance of rubber-type vibration absorber often unstable. Absorbers with Coulomb friction damping can overcome this phenomenon. However, Coulomb friction is non-linear, so the analysis of dry friction absorber is more difficult. In [2], Coulomb’s friction was first developed to Fourier series, and the M-K single-degree-of-freedom system with both Coulomb frictional damping and viscous damping was analyzed. In this paper, we extend the method in [2], and give a Fu-class solution to the problem that any complex structure with a dry friction absorber attached to the foundation is sinusoidal excited. The convergence of the series solution is discussed. Taking the first order of series as the condition of approximate solution, a method to improve the approximate solution is proposed, and the method of selecting the best parameter of this kind of vibration absorber is also given.