纪晓东, 钱稼茹. 损伤定位向量法原理及应用[J]. 工程力学, 2008, 25(4): 10-020.
引用本文: 纪晓东, 钱稼茹. 损伤定位向量法原理及应用[J]. 工程力学, 2008, 25(4): 10-020.
JI Xiao-dong, QIAN Jia-ru. PRINCIPLE AND APPLICATION OF DAMAGE LOCATING VECTOR METHODS[J]. Engineering Mechanics, 2008, 25(4): 10-020.
Citation: JI Xiao-dong, QIAN Jia-ru. PRINCIPLE AND APPLICATION OF DAMAGE LOCATING VECTOR METHODS[J]. Engineering Mechanics, 2008, 25(4): 10-020.

损伤定位向量法原理及应用

PRINCIPLE AND APPLICATION OF DAMAGE LOCATING VECTOR METHODS

  • 摘要: 该文中证明了损伤定位向量存在的条件,推导了梁、柱和支撑单元的特征应力计算公式,改进了损伤后振型质量归一化系数的简化求解。完成了一个空间钢支撑框架模型损伤定位的数值模拟分析,模拟了包括支撑损伤和连接损伤的7种损伤模式。分别采用力锤激励和环境激励两种激励方式;使用自然激励技术和特征系统实现算法进行模态参数识别,得到了模态频率和振型;使用损伤定位向量法判定损伤单元,并对两种损伤模式进行了误差分析。结果表明:当损伤达到一定程度时,损伤定位向量法能有效判定损伤单元。

     

    Abstract: In this paper, the conditions for the existence of damage locating vectors are proved, the formulae for calculating the characterizing stresses of beams, columns and braces are derived, and the simplified calculation of modal mass-normalization constants of damaged structures is improved. The numerical simulation of damage localization of a spatial steel braced-frame model was carried out. Seven damage patterns, including brace damages and connection damages, were simulated. Hammer impacts and ambient vibration were, respectively, employed as excitations to the structure model. The modal parameters, including frequencies and mode shapes, were obtained using the natural excitation technique and eigensystem realization algorithm. Damage locating vector method was utilized to locate the damaged elements. Error analysis was performed for two damage patterns. It is demonstrated that the damage locating vector method is effective when the damage extent reaches a certain level.

     

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