磁流变弹性体吸振器的拓频控制设计与simulink模拟优化

摘要

磁流变弹性体因其剪切模量可控、稳定性好且响应速度快，逐渐被应用于动力吸振器，而以定点理论推算的最优阻尼比和调谐比不适用于主系统含阻尼、振子固有频率变化的吸振系统。根据磁流变弹性剪切模量随磁场强度变化而变化，子系统振子固有频率随之变化的原理，设计优化了双自由度主系统含阻尼的磁流变弹性体吸振器数学模型，通过磁场强度的改变可实现吸振的目的。基于Matlab simulinkd模块，为实际应用构造了时域、频域模型，模拟分析了吸振器的工作原理和拓频设计，为磁流变弹性体的半主动吸振器的应用提供了设计依据。%Due to their controllable shear modulus,good stability and fast response speed,magnetorheological elastomers (MREs)are gradually applied in dynamic vibration absorbers.Shear modulus of MRE changes with variation of magnetic field intensity,and the natural frequency of the corresponding vibration subsystem changes with shear modulus of MRE.But the optimal damping radtio and the optimal frequency-tuning ratio based on the fix-point theory are not suitable to the vibration-absorbing system whose main system contains a damping and whose subsystem has a variable natural frequency.Here,the mathmatical model of a 2-DOF MRE vibration absorber containing a damping was designed and optimized.This MRE vibration absorber could work by changing magnetic field intensity.The time-domain model and the frequency-domain model for the actual application of a MRE vibration absorber were sonstructed based on Matlab Simulink.The working principle and the frequency-widening control design design of a MRE vibration absorber were analyzed with Simulink simulation.design basis for the application of MREs in semi-active vibration absorbers.