基于非线性能量阱的弹性支承梁振动抑制

Vibration Mitigation of Elastically Supported Beams Based on Nonlinear Energy Sink

弹性支承梁易在外部荷载作用下发生大幅振动,本文采用非线性能量阱技术,对弹性支承梁的非线性主共振响应的振动抑制开展研究。基于Hamilton原理,建立非线性能量阱与弹性支承梁的耦合运动方程。通过数值仿真分析,研究不同参数条件下非线性能量阱的振动抑制效果,利用能量法研究非线性能量阱对主结构振动抑制的能量消耗。结果表明:非线性能量阱的运用使系统响应幅值显著下降;随着时间增长,系统总能量大幅下降并趋于稳定,非线性能量阱能实现对弹性支承梁的有效振动抑制。

Elastically supported beams are prone to develop large-scale vibration under external loads.In this paper,the vibration mitigation of the nonlinear principal resonance response of the elastically supported beams is investigated via nonlinear energy sink(NES).Based on Hamiltonian principle,the coupled motion equation of NES and the elastically support beam is established.Through numerical simulation,the vibration reduction effects of NES with different parameters are compared.The energy consumption and vibration suppression of the main structure under NES is studied using energy method.The results show that when using NES,the response amplitude of the system is significantly suppressed;as time increases,the total energy of the system decreases significantly and tends to stable;reasonable selection of parameters of NES can improve the efficiency of vibration control for the elastically supported beams.