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S17 O Método dos Elementos de Contorno em Engenharia |
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Title:
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HARMONIC PROBLEMS: FOURIER SERIES AND BOUNDARY ELEMENT METHODS
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Summary :
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ABSTRACT.
THE PROBLEM OF A CIRCULAR CYLINDRICAL SHELL INTERCEPTED BY AN INCLINED PLANE IS ANALYZED FOR THE HARMONIC OPERATOR.THE SOLUTION IS DEVELOPED USING THE FOURIER SERIES EXPANSION FOR ARBITRARY BOUNDARY CONDITIONS, PRESCRIBED ALONG THE BOUNDARY CURVE. IN ADDITION, AN ALTERNATIVE SOLUTION IS DEVELOPED USING
THE BOUNDARY ELEMENT METHOD.
WE HAVE SOME NUMERICAL COMPARISONS CONCERNING THE CONVERGENCE OF THE BOTH SOLUTIONS. SOME OF THE WEAKNESS OF BOTH METHODS ARE EXPOSED AS THE ANGLE OF INTERSECTION BETWEEN THE INCLINED PLANE AND THE CYLINDER IS INCREASED.
IT SHOULD BE POINTED OUT THAT THE DEVELOPMENT FOR THE HARMONIC OPERATOR IS THE MODEL FOR HIGHER-ORDER OPERATORS WHICH APPEAR FOR THE CYLINDRICAL SHELLS. CONSEQUENTLY, THE NUMERICAL RESULTS FOR THE HARMONIC OPERATOR SHOULD SHOW THE LIMITATIONS OF THE METHODS WHEN USED FOR HIGHER-ORDER OPERATORS.
KEY WORDS: SHELL, HARMONIC, BOUNDARY ELEMENT, INTERSECTION, SERIES. |
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Author :
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de Aguiar, Joao Batista
de Aguiar, Jose Manuel
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Paper View :
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