An Inverse Problem Associated With Modification of Incomplete Dynamic Systems
| Autor: | Y. M. Ram, Simon Braun |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Mathematical optimization
Structure modification Mechanical Engineering Probleme inverse Structure (category theory) Stiffness Inverse problem Condensed Matter Physics Set (abstract data type) Vibration Mechanics of Materials medicine Applied mathematics Linear complex structure medicine.symptom Mathematics |
| Zdroj: | Journal of Applied Mechanics. 58:233-237 |
| ISSN: | 1528-9036 0021-8936 |
| DOI: | 10.1115/1.2897156 |
| Popis: | Given an incomplete set of natural frequencies and modes of a linear structure from a vibration test, the problem of computing the necessary changes in the structure to reach a desired spectra is considered. A criterion of optimality which gives the best approximation from a certain subspace is formulated. Then formulae for evaluating the family of all mathematical solutions are given, resulting in a class of mathematical incremental mass and stiffness matrices. Finally, we describe the problem of the realization of the mathematical solutions by constructing a model of a given type. |
| Databáze: | OpenAIRE |
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