计算力学学报2017，Vol.34Issue(3)：292-296,5.DOI:10.7511/jslx201703005
基于修正偶应力和高阶剪切变形理论的变截面微梁的自由振动
Free vibration analysis of non-uniform micro-beams based on modified couple stress theory and high order shear deformation theory
摘要
Abstract
A free vibration model of micro non-uniform Reddy beam which contains only one internal material length scale parameter is developed based on the modified couple stress theory in conjunction with the high order shear deformation theory.The scale effects in the free vibration of non-uniform micro beams and the effect of transverse shear deformation on the natural frequencies are investigated.The Hamilton''s principle is employed to derive the equations and the boundary conditions.The differential quadrature method is employed to numerically solve the governing equations with different boundary conditions.Illustrative examples indicate that the natural frequencies predicted by the present model are always higher than that by classical theory,i.e.the scale effects are captured.Moreover,the closer the geometry size to the material scale length parameter,the more apparent the scale effects are,and the effects of transverse shear deformation are more apparent in smaller length-thickness ratios.关键词
修正偶应力理论/高阶剪切理论/变截面微梁/尺度效应/自由振动Key words
modified couple stress theory/high order shear deformation theory/non-uniform beam/scale effect/free vibration分类
数理科学引用本文复制引用
贺丹,杨万里..基于修正偶应力和高阶剪切变形理论的变截面微梁的自由振动[J].计算力学学报,2017,34(3):292-296,5.基金项目
国家自然科学基金(11572204)资助项目. （11572204）
