应用数学和力学2026，Vol.47Issue(4)：454-467,14.DOI:10.21656/1000-0887.460004
黏弹性能量阱系统振动抑制响应分析
Analysis of Vibration Suppression Response in Viscoelastic Energy Trap Systems
摘要
Abstract
Viscoelastic materials are extensively utilized in civil engineering,aviation,and other domains owing to their superior vibration damping characteristics.The nonlinear stiffness Zener model was employed to replace the energy transfer elements in the conventional nonlinear energy trap,thereby making a novel viscoelastic en-ergy trap device.Furthermore,the bifurcation behavior of the model under simple harmonic excitation was in-vestigated.Initially,the nonlinear dynamic control equation for the coupled main structure-energy trap system was formulated based on the nonlinear stiffness Zener model.Subsequently,the slow-varying system's equation under the 1:1 resonance condition was analytical derived with the complex variable averaging method.On this basis,the effects of key parameters on the bifurcation behavior of the system's viscoelastic energy trap under slow-changing conditions were elucidated.Through integration of the numerical simulation approach and in view of the vibration reduction efficiency and energy transfer efficiency of the main structure as evaluation indi-cators,the vibration suppression effectiveness of the viscoelastic energy trap across different bifurcation re-gions was further explored.The results indicate that,the newly developed viscoelastic energy trap can effective-ly modulate saddle-node bifurcations and Hopf bifurcations through parameter adjustments,thereby significant-ly enhancing the system's vibration damping efficiency and energy transfer efficiency while effectively restrai-ning the displacement response of the main structure.This research provides a robust theoretical foundation for the engineering design and parameter optimization of the innovative viscoelastic energy trap.关键词
非线性能量阱/Zener模型/复变量平均法/分岔研究/振动控制Key words
nonlinear energy trap/Zener model/complex variable averaging method/bifurcation study/vibra-tion control分类
数理科学引用本文复制引用
王道航,周紫怡,刘春霞,孙博,兰树伟..黏弹性能量阱系统振动抑制响应分析[J].应用数学和力学,2026,47(4):454-467,14.基金项目
云南省科技厅基础研究计划专项(面上项目)(202501AT070448) （面上项目）
云南省科技厅基础研究专项(面上项目)(202401AT070031) （面上项目）
昆明理工大学自然科学研究基金(人培项目)(241120230015) （人培项目）
