噪声与振动控制2017，Vol.37Issue(1)：1-4,4.DOI:10.3969/j.issn.1006-1335.2017.01.001
高斯激励黏弹性夹层梁的非线性随机响应特性
Nonlinear Random Response Characteristics of Viscoelastic Sandwich Beams under Gaussian Excitations
摘要
Abstract
The random vibration control of viscoelastic sandwich beams is an important subject in engineering.The sandwich beams with property-controllable viscoelastic core are concerned since they can be optimized without structural change.There are some publications of studies on vibration responses of the controllable viscoelastic sandwich beams.However,the viscoelastic material dynamics in these studies were described by linear models only.Particularly,the physical nonlinearity of the viscoelastic core needs to be considered for vibration analysis under strong excitations.In this paper,a nonlinear dynamic model is employed for describing the viscoelastic constitutive relation.The differential equations of motion of a viscoelastic sandwich beam with supported mass under stationary random support excitations are derived and converted into nonlinear multi-mode coupling vibration equations by using the Galerkin method.The equivalent quasi-linear system is derived by using the statistic linearization method.The random responses such as MS displacement,the equivalent frequency response function and power spectral density of the nonlinear random vibration are obtained,which are used for evaluating the vibration suppression efficiency of the viscoelastic sandwich beam.关键词
振动与波/随机振动/非线性复合梁/统计线性化/高斯平稳激励/均方根响应Key words
vibration and wave/random vibration/nonlinear sandwich beam/statistic linearization/Gaussian stationary loading/RMS response分类
数理科学引用本文复制引用
张四康,应祖光..高斯激励黏弹性夹层梁的非线性随机响应特性[J].噪声与振动控制,2017,37(1):1-4,4.基金项目
国家自然科学基金资助项目(11572279) （11572279）
浙江省自然科学基金资助项目(LY15A020001) （LY15A020001）
