计算力学学报2018，Vol.35Issue(3)：326-330,5.DOI:10.7511/jslx20161028004
碳纳米管增强型复合材料功能梯度板的自由振动模型与尺度效应
A free vibration model of carbon nanotube-reinforced functionally graded composite plates and scale effects
摘要
Abstract
A free vibration model of orthotropic functionally graded carbon nanotubes-reinforced com-posite plates is developed based on a new modified couple stress theory.The present model can describe the scale effects with only one material length parameter incorporated.The equations of motion are derived based on the Hamilton's principle in conjunction with the first-order shear deformation theory.A simply supported square plate is taken as the illustrative example and analytical solved.The effects of plate thickness,volume fraction and distribution of carbon nanotubes on the natural frequencies of the plate are investigated.Numerical results indicate that the natural frequencies predicted by the present model are always higher than those by the Mindlin plate model of classical elasticity theory.The differences between the natural frequencies predicted by the two models are significant when the plate thickness approaches the material length parameter,but are diminishing with the increase of the plate thickness.关键词
修正偶应力理论/功能梯度材料/自由振动/尺度效应/碳纳米管Key words
modified couple stress theory/functionally graded materials/free vibration/scale effects/carbon nanotubes分类
数理科学引用本文复制引用
贺丹,门亮..碳纳米管增强型复合材料功能梯度板的自由振动模型与尺度效应[J].计算力学学报,2018,35(3):326-330,5.基金项目
国家自然科学基金(11572204,11572081)资助项目. （11572204,11572081）
