计算力学学报2016，Vol.33Issue(5)：697-703,7.DOI:10.7511/jslx201605007
弹性约束边界圆环板面内自由振动的二维弹性解
Two-dimensional elasticity solutions for in-plane free vibration of annular plates with elastically restrained edges
摘要
Abstract
Based on the two-dimension theory of linear elasticity and applying Hamilton's principle,the in-plane free vibration of governing differential equations for annular plates are obtained.Applying differential quadrature method (DQM),the frequencies of in-plane free vibration of annular plates with elastically restrained edges are investigated.All the classical boundary for in-plane displacements can be simulated by setting the stiffnesses of the restraining springs to either zero or infinite.The results presented in this paper has illustrated the analytical method was effective and accurate by comparison of previously reported results with those published in literatures.Finally,The influence of the boundary conditions,geometrical parameter,and stiffness coefficients on the dimensionless frequencies of the annular plates are fully investigated.关键词
圆环板/面内自由振动/无量纲频率/弹性约束边界/微分求积法Key words
annular plates/in-plane free vibration/dimensionless frequency/elastically restrained edges/DQM分类
数理科学引用本文复制引用
蒲育,赵海英,滕兆春,韩国强,杨晔..弹性约束边界圆环板面内自由振动的二维弹性解[J].计算力学学报,2016,33(5):697-703,7.基金项目
国家自然科学基金(41202230) （41202230）
甘肃省自然科学基金(148RJZA017)资助项目 （148RJZA017）
