Damage Location in Mechanical Structures by Multi-Objective Pattern Search
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913295801253888 |
|---|---|
| author | Günther, Christian Hofmeister, Benedikt Hübler, Clemens Jonscher, Clemens Ragnitz, Jasper Schubert, Jenny Steinbach, Marc C. |
| author_facet | Günther, Christian Hofmeister, Benedikt Hübler, Clemens Jonscher, Clemens Ragnitz, Jasper Schubert, Jenny Steinbach, Marc C. |
| contents | We propose a multi-objective global pattern search algorithm for the task of locating and quantifying damage in flexible mechanical structures. This is achieved by identifying eigenfrequencies and eigenmodes from measurements and matching them against the results of a finite element simulation model, which leads to a nonsmooth nonlinear bi-objective parameter estimation problem. A derivative-free optimization algorithm is required since the problem is nonsmooth and also because complex mechanical simulation models are often solved using commercial black-box software. Moreover, the entire set of non-dominated solutions is of interest to practitioners. Most solution approaches published to date are based on meta-heuristics such as genetic algorithms. The proposed multi-objective pattern-search algorithm provides a mathematically well-founded alternative. It features a novel sorting procedure that reduces the complexity in our context. Test runs on two experimental structures with multiple damage scenarios are used to validate the approach. The results demonstrate that the proposed algorithm yields accurate damage locations and requires moderate computational resources. From the engineer's perspective it represents a promising tool for structural health monitoring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01896 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Damage Location in Mechanical Structures by Multi-Objective Pattern Search Günther, Christian Hofmeister, Benedikt Hübler, Clemens Jonscher, Clemens Ragnitz, Jasper Schubert, Jenny Steinbach, Marc C. Optimization and Control 70J10, 74R99, 90C26, 90C29, 90C59 We propose a multi-objective global pattern search algorithm for the task of locating and quantifying damage in flexible mechanical structures. This is achieved by identifying eigenfrequencies and eigenmodes from measurements and matching them against the results of a finite element simulation model, which leads to a nonsmooth nonlinear bi-objective parameter estimation problem. A derivative-free optimization algorithm is required since the problem is nonsmooth and also because complex mechanical simulation models are often solved using commercial black-box software. Moreover, the entire set of non-dominated solutions is of interest to practitioners. Most solution approaches published to date are based on meta-heuristics such as genetic algorithms. The proposed multi-objective pattern-search algorithm provides a mathematically well-founded alternative. It features a novel sorting procedure that reduces the complexity in our context. Test runs on two experimental structures with multiple damage scenarios are used to validate the approach. The results demonstrate that the proposed algorithm yields accurate damage locations and requires moderate computational resources. From the engineer's perspective it represents a promising tool for structural health monitoring. |
| title | Damage Location in Mechanical Structures by Multi-Objective Pattern Search |
| topic | Optimization and Control 70J10, 74R99, 90C26, 90C29, 90C59 |
| url | https://arxiv.org/abs/2404.01896 |