利用基于广义柔性矩阵的优化技术识别结构损伤

IF 1.5 4区 工程技术 Q3 MECHANICS
Qianhui Gao, Zhu Li, Yongping Yu, S. Zheng
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引用次数: 0

摘要

首先构建了用于结构损伤识别的基于广义柔性矩阵的目标函数。在将损伤识别转化为约束非线性最小二乘优化问题后,应用信任区域算法找到多损伤情况下的逆问题解。然后,利用纳尔逊方法得出目标函数对设计变量的敏感性分析。最后,研究了两个具有多种损坏情况的数值实例,包括钢桁架桥梁模型和钻井平台井架模型。从计算结果来看,所提出的方法为大型复杂工程结构提供了出色的有效性和可靠性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Structural damage identification using an optimization technique based on generalized flexibility matrix
A generalized flexibility matrix–based objective function utilized for structure damage identification is firstly constructed. After transforming the damage identification into a constrained nonlinear least squares optimization problem, the trust-region algorithm is applied to find the solution of the inverse problem in multiple damage cases. Thereinto, the sensitivity analysis of the objective function with respect to the design variables is derived using the Nelson's method. At last, two numerical examples with several damage cases are investigated, including a steel truss bridge model as well as a drilling rig derrick model. Based on the computational results, it is evident that the presented approach provides excellent validity and reliability for the large and complicated engineering structures.
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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