基于代数算法的单元模态应变能灵敏度分析

颜王吉;任伟新

振动与冲击 ›› 2010, Vol. 29 ›› Issue (4) : 34-39.

PDF(1917 KB)
PDF(1917 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (4) : 34-39.
论文

基于代数算法的单元模态应变能灵敏度分析

  • 颜王吉; 任伟新
作者信息 +

Element Modal Strain Energy Sensitivity Analysis Based on an Efficient Algebraic Method

  • Yan Wang-ji; Ren Wei-xin
Author information +
文章历史 +

摘要


模态应变能在基于振动的结构损伤识别中得到了广泛的应用,其灵敏度分析成为了当前的一个重要问题。采用代数方法解析推导出了无阻尼线性系统单元模态应变能一阶和二阶灵敏度的解析表达式,该表达式简洁紧凑,便于编程,而且只需一阶模态信息, 不存在模态截断引起的误差问题。通过数值模拟算例,对得到的单元模态应变能一阶灵敏度进行了参数分析,并着重考查了损伤及其噪音的影响。结果表明,低阶单元模态应变能比高阶模态能更好的反映出结构损伤,而且抗噪能力更好。


Abstract

Modal strain energy has been widely used recently in vibration-based structural damage detection, thus how to calculate its sensitivity has been a crucial problem. In this paper, the first-order and the second-order sensitivity formulae of the element modal strain energy for a real symmetric undamped structure with distinct eigenvalues are derived based on an efficient algebraic method. The formulae are simple and compact, and it is easy to program. Moreover, it only requires one eigenvector to be known, which does not result in the problem of mode truncation. Via numerical parametric studies, the general properties of the first-order sensitivity of element modal strain energy are discussed with the emphasis on the effects of damage and noise. It is demonstrated that element modal strain energy for the lower modes will be the most likely to indicate the structural damage and it is less affected by noise than that for the higher modes.

关键词

特征值 / 特征矢量 / 刚度矩阵 / 模态应变能 / 结构动力学 / 损伤识别

Key words

eigenvalue / eigenvector / stiffness matrix / modal strain energy / structural dynamics / damage detection

引用本文

导出引用
颜王吉;任伟新. 基于代数算法的单元模态应变能灵敏度分析[J]. 振动与冲击, 2010, 29(4): 34-39
Yan Wang-ji;Ren Wei-xin . Element Modal Strain Energy Sensitivity Analysis Based on an Efficient Algebraic Method[J]. Journal of Vibration and Shock, 2010, 29(4): 34-39

PDF(1917 KB)

2508

Accesses

0

Citation

Detail

段落导航
相关文章

/