建立了轨道车辆“惯容器-弹簧-阻尼”(Inerter Spring Damper,ISD)悬挂结构垂向振动的动力学模型,采用强迫振动理论进行了振动响应特性以及隔振性能分析。研究发现:ISD结构的振幅、振幅放大因子、速度放大因子和加速度放大因子相对质量...建立了轨道车辆“惯容器-弹簧-阻尼”(Inerter Spring Damper,ISD)悬挂结构垂向振动的动力学模型,采用强迫振动理论进行了振动响应特性以及隔振性能分析。研究发现:ISD结构的振幅、振幅放大因子、速度放大因子和加速度放大因子相对质量比存在极小值点,此最优质量比是频率比和阻尼比的函数;阻尼比和质量比建议取值范围为ξ<0.2及0.1<μ<0.3,此时隔振性能可得到最大程度提升;质量比越大,相位差越小。推导了临界频率比、共振点频率比与质量比的关系,质量比越大,临界频率比和共振点频率比越小,共振点处的振幅放大因子以及共振区宽度也明显减小。该结果对轨道车辆ISD悬挂结构的减隔振性能分析和轻量化研究提供了一种新的思路,并对ISD结构设计中关键参数的选取提供了参考。展开更多
Many important vibration phenomena which simultaneously contain quadratic nonlinear stiffness and damping exist in the complicated vibrating systems under practical circumstances. In this paper, we established a 2-deg...Many important vibration phenomena which simultaneously contain quadratic nonlinear stiffness and damping exist in the complicated vibrating systems under practical circumstances. In this paper, we established a 2-degree-of-freedom (DOF) nonlinear vibration model for such a system, deduced the differential equations of motion which govern its dynamics, and worked out the solutions for the governing equations by the principle of superposition of nonlinear normal modes (NLNM) based on Shaw’s theory of invariant manifolds. We conducted numerical simulations with the established model, using superposition of nonlinear normal modes and direct numerical methods, respectively. The obtained results demonstrate the feasibility of the proposed method in that its calculated data varies in a similar tendency to that of the direct numerical solutions.展开更多
文摘建立了轨道车辆“惯容器-弹簧-阻尼”(Inerter Spring Damper,ISD)悬挂结构垂向振动的动力学模型,采用强迫振动理论进行了振动响应特性以及隔振性能分析。研究发现:ISD结构的振幅、振幅放大因子、速度放大因子和加速度放大因子相对质量比存在极小值点,此最优质量比是频率比和阻尼比的函数;阻尼比和质量比建议取值范围为ξ<0.2及0.1<μ<0.3,此时隔振性能可得到最大程度提升;质量比越大,相位差越小。推导了临界频率比、共振点频率比与质量比的关系,质量比越大,临界频率比和共振点频率比越小,共振点处的振幅放大因子以及共振区宽度也明显减小。该结果对轨道车辆ISD悬挂结构的减隔振性能分析和轻量化研究提供了一种新的思路,并对ISD结构设计中关键参数的选取提供了参考。
基金Funded by the National Science Foundation of China (No. 50075029).
文摘Many important vibration phenomena which simultaneously contain quadratic nonlinear stiffness and damping exist in the complicated vibrating systems under practical circumstances. In this paper, we established a 2-degree-of-freedom (DOF) nonlinear vibration model for such a system, deduced the differential equations of motion which govern its dynamics, and worked out the solutions for the governing equations by the principle of superposition of nonlinear normal modes (NLNM) based on Shaw’s theory of invariant manifolds. We conducted numerical simulations with the established model, using superposition of nonlinear normal modes and direct numerical methods, respectively. The obtained results demonstrate the feasibility of the proposed method in that its calculated data varies in a similar tendency to that of the direct numerical solutions.
