摘要
基于二维线弹性体理论,推导了弹性边界径向功能梯度压电(FGPM)环板面内自由振动的控制微分方程,利用微分求积法(DQM)将控制微分方程和边界条件离散化,得到求解频率的特征方程。假设材料的物性参数按幂函数形式变化,通过数值求解得到了径向FGPM环板面内自由振动的无量纲频率。考虑了弹性边界和电学开路组合边界条件下径向FGPM环板的梯度指数p、内外径比η、弹性边界的弹性刚度k和压电效应对无量纲频率的影响,最后研究了径向FGPM环板模态特性。
Based on the two-dimension linear elastic theory,the in-plane free vibration differential equations for radial functionally graded piezoelectric(FGPM)annular plates were derived.Using the differential quadrature method(DQM),the differential equations and boundary conditions were discretized and the characteristic equation of the frequency was obtained.Assuming that the physical parameters of the material vary in the form of a power function,the dimensionless natural frequency of in-plane free vibration of FGPM annular plates were solved numerically.The influence of the gradient exponent p,the inner to outer diameter ratioη,the stiffness of elastic boundaries k and piezoelectric effect of the radial FGPM annular plate on the dimensionless frequency was considered under the combination of elastic boundary and the open electrical boundary.Finally,the modal characteristics of radial FGPM annular plate were studied.
作者
胡统号
沈纪苹
姚林泉
HU Tonghao;SHEN Jiping;YAO Linquan(School of Urban Rail Transportation,Soochow University,Suzhou 215131,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2018年第8期225-237,共13页
Journal of Vibration and Shock
基金
国家自然科学基金(11172192
11572210)
江苏省普通高校学术学位研究生创新计划项目(KYLX15_1237)
关键词
弹性支撑边界
功能梯度环板
面内自由振动
微分求积法
模态特性
elastic boundary
functionally graded annular plates
in-plane free vibration
differential quadrature method
modal characteristics