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| Theory and application of wavelet finite element method for thin plate |
| Revised:December 26, 2003 |
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| DOI：10.7511/jslx20061014 |
| KeyWord:wavelet functions,wavelet finite element,thin plate,elastic foundation |
| HUANG Yi HAN Jian-gang |
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| Abstract: |
| Wavelet scaling functions of spline wavelets are used firstly to construct displacement functions of triangular and rectangular thin plate elements in finite element method.So displacement shape functions can be expressed by wavelet functions.Selecting convenient local coordinates and compressing elements, which make elements having their values in interval in local coordinates.Wavelet finite element expressions of triangular and rectangular elements in dividing domain of thin plate are derived through the principle of virtual work. The wavelet finite element method used to selve thin plate of elastic foundation is presented.This work represents the first attempt in using wavelet functions in finite element method of dividing domain.Numerical analysis of two examples demonstrates the deflection and moment of thin plate are consistent with those obtained with analytical solution,which illustrates that the wavelet finite element method has better convergence and higher accuracy. |
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