【摘要】 针对舰船等工程领域低频线谱控制难题，建立考虑柔性基础的非线性能量阱隔振系统动力学模型，利用谐波平衡法和Runge-Kutta法分析系统的非线性动力学特性。探讨基础参数对系统幅频特性的影响，并分析系统在共振频率处的非线性动力学行为。以振动功率流为评价参数，探讨非线性能量阱质量比、立方刚度、阻尼对减振效果的影响规律。针对本文计算模型的研究表明：当基础刚度较弱时，非线性能量阱对设备的幅频响应特性影响较大；对于特定的参数，基础和设备在一阶共振频率处的运动状态可能是不同的；非线性能量阱减振效果良好，在本算例中传递到基础的功率流峰值降低了13.95 dB。更多还原

【Abstract】 For low-frequency line spectrum control in naval and other engineering fields, a nonlinear energy sink vibration isolation system dynamics model considering a flexible foundation was established, and the nonlinear dynamics of the system was analyzed using the harmonic balance method and Runge-Kutta method. The influence of the foundational parameters on the amplitude-frequency characteristics of the system was explored, and the nonlinear dynamical behavior of the system at the resonant frequency was analyzed.The influence law of mass ratio, cubic stiffness, and damping on the damping effect of nonlinear energy sink was explored with vibration power flow as the evaluation parameter. For the computational model analyzed, research shows:when the foundation stiffness is weak, the nonlinear energy sink has a large effect on the amplitude and frequency response characteristics of the equipment;for specific parameters, the state of motion of the base and the equipment at the first order resonant frequency may be different;the nonlinear energy sink has a superior damping effect, reducing the peak power flow to the base by 13.95 dB in this example.更多还原