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| Multivariable Wavelet Finite Element Method for Analysis of Thin Plate |
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Abstract Abstract: Based on B-spline wavelet on the interval and generalized potential variational principle, a new multivariable wavelet finite element method was proposed in this study, and the new corresponding elements for square and skew thin plate were constructed. Firstly, formulations were derived from multivariable generalized potential energy functional. Then the matrix equation of thin plate was obtained by using BSWI as trial function. In this study, the generalized stress and strain were interpolated separately, so differentiation of displacement in traditional method of stress calculation was avoided, and the calculation error was reduced. Besides, the good approximation property of B-spline wavelet on the interval can further guarantee the solving accuracy. In the end, several numerical examples for bending and vibration analysis of square and skew thin plate verified the efficiency and superiority in solving generalized stress.
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Received: 22 September 2009
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2011, Vol. 32 
