Inverse spectral problem for a non-uniform rod with multiple cracks

被引：12
|
作者：
Shifrin, E. I. [1 ]
机构：
[1] RAS, AYu Ishlinsky Inst Problems Mech, Prosp Vernadskogo 101-1, Moscow 119526, Russia
来源：
MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2017年 / 96卷
关键词：
Non-uniform rod; Longitudinal vibration; Multiple cracks; Natural frequencies; Inverse problem; SIMPLY SUPPORTED BEAM; NATURAL FREQUENCIES; IDENTIFICATION; VIBRATION; NUMBER;
D O I：
10.1016/j.ymssp.2017.04.029
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
An inverse spectral problem for a rod of variable cross-section containing a finite number of transverse cracks is considered. The cracks are simulated by translational springs. It is proved that the number of springs, their locations and flexibilities are uniquely reconstructed by two spectra corresponding to longitudinally vibrating rod with free-free and free-fixed end conditions. A constructive procedure for reconstructing unknown damage parameters is developed. Numerical examples are considered. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：348 / 365
页数：18
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