The reconstruction of a periodic structure from its dynamical behaviour
This work is related to the inverse problem in vibration produced in a special type of mechanical structure known as periodic structure. This problem consist in determining the stiffness and mass parameter of the structure from the natural frequencies and vibrations modes. The problem concern with t...
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| Autor principal: | |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100009 |
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| Sumario: | This work is related to the inverse problem in vibration produced in a special type of mechanical structure known as periodic structure. This problem consist in determining the stiffness and mass parameter of the structure from the natural frequencies and vibrations modes. The problem concern with the inverse eigenvalue problem for a specially structured Jacobi matrix which contains the desired parameters. Sufficient conditions to be applied to the data to obtain a real system are derived and a numerical procedure is develop. Some numerical examples are presented. |
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