摘要
考虑到工程的实际应用,对本质非线性吸振器进行了改进,建立了带有弱线性刚度项的强非线性吸振器的振动系统的动力学模型。利用谐波平衡法推导了主系统的频响方程组,分析线性刚度对宽频吸振效果的影响,发现吸振器中带有一定的弱线性刚度反而能提高宽频减振的性能。计算了激励力与吸振器非线性刚度函数的上、下限值以及宽频吸振的参数域,对此类吸振器的工程应用具有较好的指导意义。对比分析了多频激励下不同吸振器的减振效果:在合适的参数域中,改进后的本质非线性吸振器表现出很好的宽频减振性能。
The essentially nonlinear absorber was improved in consideration of engineering implementations.The dynamical model of the system including an essentially nonlinear absorber with weak linear stiffness under periodic excitation was studied.The differential equations for solving amplitude-frequency characteristics of the system were obtained based on harmonic balance method.The relationships between linear stiffness,generalized excitation and performance of absorption on broad frequency band were presented.The results show that the weak linear stiffness is in favor of amplitude attenuation on broad frequency band.The maximum and minimum limit values of generalized excitation,containing the information about force and nonlinear stiffness,were obtained,which are significant for engineering application.Comparing the performance of improved essentially absorber with that of linear absorber under muti-frequency excitation,the performance of the former on broad frequency band is more excellent.
出处
《振动与冲击》
EI
CSCD
北大核心
2011年第6期218-222,255,共6页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(51009143)
高等学校全国优秀博士学位论文作者专项资金资助项目(201057)
关键词
改进的本质非线性
动力吸振器
谐波平衡法
improved essentially nonlinear
dynamics vibration absorber
harmonic balance method
作者简介
楼京俊 男，副教授，硕士生导师，1976年生
