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| Vibration analysis by an effective meshless method |
| Revised:February 28, 2002 |
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| DOI：10.7511/jslx20036141 |
| KeyWord:meshless method,penalty method,modal analysis, forced vibration |
| Li Wodong~ |
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| Abstract: |
| Based on the moving least squares method, an effective meshless method is developed for the vibration analysis of elastic bodies. The penalty method is employed to impose the essential boundary conditions. As the accuracy of the scheme will depend on the parameters of the weight functions, parameters study has been carried out to determine their best values. Then modal analyses of the beams and plates with different boundaries have been put forward. In addition, the responses of these structures under dynamic excitation have been analyzed. The examples include simply supported beams subjected to sudden excitations and simply supported plates subjected to initial displacements. Numerical examples show that this method has high accuracy in the vibration analysis. |
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