基于模态应变能与频率融合方法的功能梯度欧拉伯努利梁损伤识别研究

doi:10.19936/j.cnki.2096-8000.20210828.004

复合材料科学与工程 ›› 2021, Vol. 0 ›› Issue (8): 25-30.DOI: 10.19936/j.cnki.2096-8000.20210828.004

基于模态应变能与频率融合方法的功能梯度欧拉伯努利梁损伤识别研究

梁福安¹, 黄君¹, 黄立新^1,2*

1.广西大学土木建筑工程学院,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,南宁530004

收稿日期:2020-12-09 出版日期:2021-08-28 发布日期:2021-09-09
通讯作者: 黄立新(1964-),男,博士,教授,博导,主要从事复合材料结构力学等方面的研究,gxuhuanglixin@163.com。
作者简介:梁福安(1993-),男,硕士研究生,主要从事复合材料力学等方面的研究。
基金资助:
国家自然科学基金(11262002)

A study on damage identification of functionally graded euler-bernoulli beam by the method based on modal strain energy and frequency fusion

LIANG Fu-an¹, HUANG Jun¹, HUANG Li-xin^1,2*

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

Received:2020-12-09 Online:2021-08-28 Published:2021-09-09

摘要/Abstract

摘要： 针对功能梯度欧拉伯努利梁,本文提出了融合结构模态应变能和自振频率的损伤识别新方法。首先通过有限元方法计算得出功能梯度欧拉伯努利梁的自振频率和振型模态参数,然后基于单元模态应变能融合了自振频率,构造了模态频率应变能的计算公式。通过计算出梁结构损伤前后单元模态频率应变能的变化,定义了单元的损伤识别指标。数值算例表明,功能梯度欧拉伯努利梁的损伤识别新方法能够把梁结构存在的损伤单元有效地识别出。从损伤识别结果可以看出该新方法具有较好的抗噪声性能。

关键词: 功能梯度欧拉伯努利梁, 模态频率应变能, 损伤识别, 有限元法, 复合材料

Abstract: For functionally graded (FG) Euler-Bernoulli (EB) beams, a new damage identification method based on modal strain energy fusing with the natural frequency is proposed in this study. The natural frequency and shape modal parameters of the structure are firstly calculated by finite element method, and then the calculation formula of modal frequency strain energy is constructed on the basis of the elemental modal strain energy fusing with the natural frequency. The change of elemental modal frequency strain energy is calculated before and after the damage of the beam structure, and the elemental index of damage identification is defined. Numerical examples show that the new damage identification method of the FG Euler-Bernoulli beam can effectively identify the damage elements of the beam. It is found from the identified results that the new method has good noise resistance performance.

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

中图分类号:

TB332

梁福安, 黄君, 黄立新. 基于模态应变能与频率融合方法的功能梯度欧拉伯努利梁损伤识别研究[J]. 复合材料科学与工程, 2021, 0(8): 25-30.

LIANG Fu-an, HUANG Jun, HUANG Li-xin. A study on damage identification of functionally graded euler-bernoulli beam by the method based on modal strain energy and frequency fusion[J]. COMPOSITES SCIENCE AND ENGINEERING, 2021, 0(8): 25-30.

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基于模态应变能与频率融合方法的功能梯度欧拉伯努利梁损伤识别研究

A study on damage identification of functionally graded euler-bernoulli beam by the method based on modal strain energy and frequency fusion

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