基于模态应变能变化率法的Euler-Bernoulli功能梯度梁的损伤识别

复合材料科学与工程 ›› 2015, Vol. 0 ›› Issue (8): 14-17.

基于模态应变能变化率法的Euler-Bernoulli功能梯度梁的损伤识别

黄立新^1,2*, 杨真真³, 赵文举¹

1.广西大学土木建筑工程学院,广西南宁 530004;
2.广西大学工程防灾与结构安全教育部重点实验室,广西南宁 530004;
3.许昌学院土木工程学院,河南许昌 461000

收稿日期:2015-03-13 出版日期:2015-08-28 发布日期:2021-09-14
作者简介:黄立新(1964-),男,教授,博士,主要从事复合材料结构与力学等方面的研究。
基金资助:
国家自然科学基金(11262002)

DAMAGE IDENTIFICATION OF EULER-BERNOULLI FUNCTIONALLY GRADED BEAM BY THE MODAL STRAIN ENERGY CHANGE RATIO METHOD

HUANG Li-xin^1,2*, YANG Zhen-zhen³, ZHAO Wen-ju¹

1. School of Civil Engineering, Guangxi University, Nanning 530004, China;
2. The Key Laboratory of Disaster Prevention and Structural Safety of the Education Ministry, Guangxi University, Nanning 530004, China;
3. School of Civil Engineering, Xuchang University, Xuchang 461000, China

Received:2015-03-13 Online:2015-08-28 Published:2021-09-14

摘要/Abstract

摘要： 基于模态应变能,本文提出Euler-Bernoulli功能梯度梁的损伤识别方法。首先利用有限元方法计算Euler-Bernoulli功能梯度梁的单元刚度矩阵和振型模态参数,然后计算单元刚度矩阵与振型的二次积,即得单元模态应变能。在此基础上,根据单元模态应变能损伤前后的变化,给出Euler-Bernoulli功能梯度梁的损伤指标。通过数值算例,验证了Euler-Bernoulli功能梯度梁的损伤识别方法的有效性。数值结果表明,提出的损伤指标能够很好地识别出梁的损伤单元。

关键词: Euler-Bernoulli功能梯度梁, 模态应变能, 损伤识别, 有限元法

Abstract: A damage identification method based on modal strain energy is presented for an Euler-Bernoulli functionally graded beam. The finite element method is employed to compute the elemental stiffness matrix and the modal parameters such as mode shapes of the beam. The elemental modal strain energy, which is defined as the product of the elemental stiffness matrix and the second power of the mode shape component, is calculated by using the finite element method results. On this basis, the damage indicator for the Euler-Bernoulli functionally graded beam is developed by way of the change of the modal strain energy in each element before and after the occurrence of damage. A numerical example is given to illustrate the validity of the proposed method for the damage identification of the Euler-Bernoulli functionally graded beam. Numerical results show that the damaged element can be easily identified by using the damage indicator.

Key words: Euler-Bernoulli functionally graded beam, modal strain energy, damage identification, finite element method

中图分类号:

TB332

黄立新, 杨真真, 赵文举. 基于模态应变能变化率法的Euler-Bernoulli功能梯度梁的损伤识别[J]. 复合材料科学与工程, 2015, 0(8): 14-17.

HUANG Li-xin, YANG Zhen-zhen, ZHAO Wen-ju. DAMAGE IDENTIFICATION OF EULER-BERNOULLI FUNCTIONALLY GRADED BEAM BY THE MODAL STRAIN ENERGY CHANGE RATIO METHOD[J]. COMPOSITES SCIENCE AND ENGINEERING, 2015, 0(8): 14-17.

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