噪声与振动控制2017，Vol.37Issue(5)：18-22,49,6.DOI:10.3969/j.issn.1006-1355.2017.05.004
悬臂黏弹性体夹层梁的非线性随机振动抑制性能分析
Nonlinear Random Vibration Suppression Analysis of Viscoelastic Sandwich Cantilever Beams
摘要
Abstract
Random vibration suppression of viscoelastic sandwich cantilever beams is an important subject in engineering. The sandwich beam with a controllable viscoelastic core can be optimized without structural change and has the suitability to wide-band excitation. The linear vibration of the controllable viscoelastic sandwich beams with both ends constrained has been studied. However, their nonlinear vibration needs to be studied further. The solution for high-order modes of the viscoelastic sandwich cantilever beams is a complicated problem. And the nonlinear multi-mode-coupling vibration analysis of the viscoelastic sandwich beams under Gaussian wide-band random excitation is a challenging problem. In this paper, the nonlinear viscoelastic constitutive relation is considered. The differential equations of motion of a viscoelastic sandwich cantilever beam under support excitations are derived. The vibration modes of the cantilever beam are determined by the constraint conditions at both ends. The partial differential equations are converted into nonlinear multi-mode-coupling vibration equations by using the Galerkin method. The equivalent quasi-linear system is derived for the Gaussian stationary random excitation by using the statistic linearization method. The random responses such as MS displacement, equivalent frequency response and power spectral density of the nonlinear random vibration of the cantilever beam are obtained. Numerical results illustrate the good suppression effectiveness of the nonlinear random vibration of the viscoelastic sandwich cantilever beams.关键词
振动与波/随机振动/悬臂梁/非线性黏弹性体/高斯平稳激励/均方根响应Key words
vibration and wave/random vibration/cantilever beam/nonlinear viscoelasticity/Gaussian stationary excitation/RMS response分类
数理科学引用本文复制引用
张巍,应祖光,张四康..悬臂黏弹性体夹层梁的非线性随机振动抑制性能分析[J].噪声与振动控制,2017,37(5):18-22,49,6.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）
