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基于模态参数的损伤定位方法
发表时间：2008-05-15 浏览量：2450 下载量：1011
| 全部作者： | 朱水文，樊建平，王乘 |
| 作者单位： | 华中科技大学土木工程与力学学院 |
| 摘 要： | 本文基于模态应变能的概念，给出了基于前两阶振型模态参数的结构损伤定位方法。文章首先根据梁结构损伤前后的动力特性分析，提出了由单元损伤引起的单元模态应变能比值的概念，并运用结构局部损伤因子法定义了单元损伤影响系数；然后以单元损伤影响系数为基础，推导出给定单元在某一模态参量下的误差因子和所有模态参量下的损伤因子；最后给出了由误差因子和损伤因子对梁结构进行损伤定位的方法。结合有限单元法，本文应用商业有限元软件ADINA，对一等截面简支梁进行数值仿真。结果表明，本文提出的定位方法能很好地预测结构的损伤位置。 |
| 关 键 词： | 工程力学；自然频率；模态振型；有限元法；损伤定位 |
| Title： | Damage localization technique based on mode shape parameter |
| Author： | ZHU Shuiwen, FAN Jianping, WANG Cheng |
| Organization： | School of Civil Engineering & Mechanics, Huazhong University of Science and Technology |
| Abstract： | This paper presented a methodology to locate damage in structures for which the first two natural frequencies and mode shapes were available. Based on the analysis of the dynamic characteristics of beam structure before and after damaging, the paper established the concept of the fraction of modal energy as a factor sensitive to element damages. According to the factorization method of local damages of the structure, indicating factors sensitive to element damages were established to deduce the change of the elemental modal strain energy before and after element damaging. Then, the concept of error index for a given mode and the concept of damage indicator for all available modes were deduced. Finally, a methodology to locate damage in beam structure was given using the error index and the damage indicator. As a numerical experiment, the simulation was carried out using general-purpose finite element software ADINA for a simple supported beam and modal responses of the structure were generated before and after damage. The experimental results illustrated that the method was effective and robust in locating structural damage. |
| Key words： | engineering mechanics；natural frequency；mode shape；finite element method(FEM)；damage localization |
| 发表期数： | 2008年9月第9期 |
| 引用格式： | 朱水文，樊建平，王乘. 基于模态参数的损伤定位方法[J]. 中国科技论文在线精品论文，2008，1（9）：1015-1020. |
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