ANALYSIS ON THE EFFECT OF EULER-BERNOULLI BEAM MODEL AND TIMOSHENKO BEAM MODEL ON DAMAGE IDENTIFICATION BASED ON MODAL STRAIN ENERGY METHOD

Abstract

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).

Key words: functionally graded material, Euler-Bernoulli beam model, Timoshenko beam model, modal strain energy, damage identification

CLC Number:

TB332

YUE Shi-yan, YANG Zhen-zhen, XIE Feng , HUANG Li-xin. ANALYSIS ON THE EFFECT OF EULER-BERNOULLI BEAM MODEL AND TIMOSHENKO BEAM MODEL ON DAMAGE IDENTIFICATION BASED ON MODAL STRAIN ENERGY METHOD[J]. Fiber Reinforced Plastics/Composites, 2017, 0(2): 38-43.

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