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随机激励时多介质耦合型减振器求解的一种近似方法
APPROXIMATE SOLUTION OF A MULTI-MEDIUM COUPLING NONLINEAR ISOLATOR UNDER RANDOM VIBRATION EXCITATION
【摘要】 有关文献结合流体、橡胶、非线性弹性元件设计了一种多介质耦合减振器,获得较好的工作特性;在此基础上基于衰减随机振动的工程应用要求,提出了一种多介质耦合型非线性减振器的数学模型,该模型考虑了平方阻尼、线性阻尼、库伦阻尼及非线性弹性元件的耦合,在外部激励为随机振动激励时,通过FPK变换并结合等效原理对模型进行了理论上近似求解,具体讨论了非线性特性参数变化引起的系统特性变化,为进一步研究奠定了基础。
【Abstract】 A new type of isolator with multi-types of damping and nonlinear stiffness through oil,air,rubber and spring coupling by ingenious tactics is presented in references.In this paper,a mathematical model of a multi-medium coupling isolator is developed for attenuating wide-band random vibration for practical applications.The model considers the coupling of quadratic damping,viscosity damping,coulomb damping and nonlinear spring.The approximate theoretical calculating formulae are deduced by combining FPK transform and equivalent principle method.By conducting parametric analysis,it is shown that changes in the nonlinear characteristic parameters would induce changes in the system characteristics.The solution establishes a theoretical basis for further research.
【Key words】 multi-medium coupling isolator; random vibration; nonlinear dynamic characteristics; mathe-matical model; approximate solution;
- 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2006年07期
- 【分类号】TB535.1
- 【被引频次】6
- 【下载频次】92