承载能力可调力电耦合曲梁准零刚度隔振器设计与分析  

Design and Analysis of Piezoelectric Quasi-Zero-Stiffness Vibration Isolators for Different Loads

作　　者：易凯军 蒋守谦 朱睿 YI Kaijun;JIANG Shouqian;ZHU Rui(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《北京理工大学学报》2024年第11期1128-1137,共10页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(12202052,U22B2078)。

摘　　要：针对现有准零刚度隔振器很难适应负载变化的问题,提出了一种负载能力可调的力电耦合曲梁准零刚度隔振器.该隔振器主要由负电容分流压电纤维片以及余弦曲梁组成,通过改变负电容值调节曲梁非线性刚度即可实现对隔振器承载能力的调控.采用模态叠加法和最小总势能原理,推导了压电曲梁的力-位移关系,并进行了有限元验证.进一步,将压电曲梁连接U型外壁构成隔振器,建立了其简化解析模型和实体有限元模型,并分析其在不同负载下的隔振特性.结果表明,通过负电容电路实现对压电材料模量的调控,该隔振器能够在不同负载下产生所需的准零刚度特性,实现低频隔振.To address the challenge of limited adaptability to varying loads in existing quasi-zero-stiffness isolat-ors,this study designed a load-adjustable piezoelectric quasi-zero-stiffness isolator.This isolator primarily comprised a piezoelectric patch with an externally connected negative capacitance shunt circuit and a cosine-shaped curved beam.The nonlinear stiffness of the curved beam could be adjusted,by modifying the negative capacitance value,allowing for control over the isolator’s load-bearing capacity.Initially,by adopting modal superposition and minimum total potential energy principle,the force-displacement relationship of the piezoe-lectric curved beam was derived.The derived relationship accuracy was validated through comparison with finite element results.Subsequently,the piezoelectric curved beam was coupled with a U-shaped stiffer wall to form the isolator.Both the simplified analytical model and the comprehensive finite element model of the isolat-or were established to investigate its isolation characteristics under various loads.The results indicate that the regulation of the modulus of piezoelectric materials through negative capacitance circuits can generate the quasi-zero-stiffness characteristics under different loads,achieving excellent low-frequency vibration isolation per-formance.

关 键 词：准零刚度 压电材料 负电容电路 低频 隔振 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3