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Descripción
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| The lowest natural frequencies of rectangular plates of any aspect ratio are accurately determined by optimally applying Ritz¿s method. Algebraic polynomials in the form of products of powers of the three co-ordinates are used to represent the displacements. The adequate choice of the maximum exponents for each co-ordinate, compatible with a short time of calculation, is essential to reach the required accuracy of frequencies. The developed computational procedure automatically provides the optimum selection of maximum exponents by applying an iterative procedure. Convergence to the desired degree is highly reliable. This methodology is applied to three-dimensional vibration analysis of doubly symmetric flexural modes of a freely vibrating thick plate. The lowest natural frequencies of aluminium parallelepipeds of base 150 × 100 square mm and thicknesses ranging from 2 to 50 mm are numerically calculated. The natural frequencies of the parallelepiped samples are measured by using a laser speckle interferometer and a good fit with the numerically calculated values is found. | |
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Internacional
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Si |
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Nombre congreso
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3rd International Conference "From Scientific Computing to Computational Engineering" |
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Tipo de participación
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960 |
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Lugar del congreso
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Atenas |
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Revisores
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Si |
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ISBN o ISSN
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978-960-530-096-8 |
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DOI
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Fecha inicio congreso
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09/07/2008 |
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Fecha fin congreso
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12/07/2008 |
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Desde la página
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544 |
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Hasta la página
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551 |
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Título de las actas
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Optimized Calculation of Natural Frequencies of Rectangualar plates by Ritz's method and Experimental Verification by Laser Interferometry |