应用数学和力学2017，Vol.38Issue(6)：613-621,9.DOI:10.21656/1000-0887.370277
非线性阻尼非线性刚度隔振系统随机动力学特性研究
An Investigation on Nonlinear-Damping and Nonlinear-Stiffness Vibration Isolation Systems Under Random Excitations
摘要
Abstract
Both nonlinear damping and nonlinear stiffness were introduced in vibration isolation systems under random excitations to improve the isolation performance.The nonlinear damping and nonlinear stiffness were realized through the geometric arrangement of the horizontal springs and horizontal dampers.The performance of the nonlinear vibration isolator under random excitation was evaluated with the equivalent Fokker-Planck-Kolmogorov (FPK) equation transformed by the nonlinear stochastic vibration equation.The effects of the nonlinearity introduced in stiffness and damping on the transmissibility and its probability were studied.It is found that,for high levels of random excitations,the damping nonlinearity brings larger reduction of the random vibration response,and the gap between the linear and the nonlinear dampings is enlarged;however,for low levels of random excitations,the nonlinear damping has less efficacy than the linear damping.关键词
非线性隔振/力传递率/随机激励/非线性刚度/非线性阻尼Key words
nonlinear vibration isolation/force transmissibility/random excitation/nonlinear damping/nonlinear stiffness分类
数理科学引用本文复制引用
黎崛珉,陆泽琦,陈立群..非线性阻尼非线性刚度隔振系统随机动力学特性研究[J].应用数学和力学,2017,38(6):613-621,9.基金项目
The National Natural Science Foundation of China (11502135 （）
11572182)国家自然科学基金(11502135 （）
11572182) （）
