含区间参数不确定结构的损伤识别方法

发布时间：2019-07-03 16:13

【摘要】：针对损伤识别中遇到的含统计信息不足的不确定参数的结构,以区间向量来描述其中的不确定参数。基于有限元理论给出了应变模态的测试方法,进一步将应变模态表示为区间参数的函数,结合一阶Taylor展开与区间分析,计算了参数不确定条件下应变模态的界限,给出了一种考虑参数不确定的结构损伤识别方法,并在理论上对比分析了与基于概率方法的区别与联系。为验证方法的合理性,对简支梁在不同位置损伤的情况进行了数值模拟,分析了不同损伤程度以及参数不同不确定程度下简支梁应变模态的变化规律,简要讨论了噪声对识别准确性的影响。为含不确定参数的结构的损伤识别提供了一种新的方法和思路。
[Abstract]:Aiming at the structure of uncertain parameters with insufficient statistical information encountered in damage identification, the uncertain parameters are described by interval vector. Based on the finite element theory, the test method of strain mode is given. Furthermore, the strain mode is expressed as a function of interval parameters. Combined with the first order Taylor expansion and interval analysis, the boundary of strain mode under the condition of parameter uncertainty is calculated, and a structural damage identification method considering parameter uncertainty is given, and the difference and relation between the strain mode and the probability method are compared and analyzed theoretically. In order to verify the rationality of the method, the damage of simply supported beam in different positions is simulated, the variation of strain mode of simply supported beam under different damage degree and parameter is analyzed, and the influence of noise on the identification accuracy is briefly discussed. It provides a new method and idea for damage identification of structures with uncertain parameters.
【作者单位】：北京航空航天大学航空科学与工程学院;中国科学院沈阳自动化研究所机器人学国家重点实验室;
【基金】：国家自然科学基金(11372025,11432002) 国防基础科研项目(A0820132001) 高等学校学科创新引智计划(B07009)~~
【分类号】：O346.5

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