玻璃钢/复合材料Issue(2):38-43,6.
基于模态应变能法功能梯度Euler-Bernoulli梁和Timoshenko梁模型对损伤识别的影响分析
ANALYSIS ON THE EFFECT OF EULER-BERNOULLI BEAM MODEL AND TIMOSHENKO BEAM MODEL ON DAMAGE IDENTIFICATION BASED ON MODAL STRAIN ENERGY METHOD
摘要
Abstract
With the change of span-depth ratio of functionally graded (FG) beam from small (thick beam) to large (thin beam),the effect of shear deformation on the beam deformation decrease.In order to analyze the deformation of the beam accurately,Timoshenko beam model is used for the thick beam with small span-depth ratio and Euler-Bernoulli beam model is used for thin beam large span-depth ratio.In this paper,free vibration is calculated based on the two beam models by a finite element method (FEM) to further analysis on the difference between element stiffness matrix,mass matrix and modal mode.Numerical examples are given to analyze the effect of those differences on the damage identification index.The damage indices of Timoshenko beam model are better than those of Euler-Bernoulli beam model in thick beam,while the damage indices of Euler-Bernoulli beam model are better than those of Timoshenko beam model in thin beam (for example l/h =25).关键词
功能梯度材料/Euler-Bernoulli梁模型/Timoshenko梁模型/模态应变能/损伤识别Key words
functionally graded material/Euler-Bernoulli beam model/Timoshenko beam model/modal strain energy/damage identification分类
通用工业技术引用本文复制引用
岳世燕,杨真真,谢峰,黄立新..基于模态应变能法功能梯度Euler-Bernoulli梁和Timoshenko梁模型对损伤识别的影响分析[J].玻璃钢/复合材料,2017,(2):38-43,6.基金项目
国家自然科学基金(11262002) (11262002)