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力学学报  2003 

ELASTIC WAVE SCATTERING AND DYNAMIC STRESS IN CURVED PLATES WITH A CUTOUT
含孔曲板弹性波散射与动应力分析

Keywords: curved plate,cavity,small parameter perturbation method,elastic wave scattering,dynamic stress concentration
曲板
,孔洞,小参数摄动法,弹性波散射,动应力集中

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Abstract:

Based on the equations of motion of open shallow cylindrical shells, using small parameter perturbation method, elastic wave scattering and dynamic stress concentrations of infinite curved plates have been studied. Taken the solution of classical thin plates as main terms of the solution of the problem, the approximate solutions of scattered wave from the cutout in shallow cylindrical shells under the action of steady flexural wave have been gained. A boundary integral method to solve the problem of elastic wave scattering and dynamic stress concentrations of infinite open cylindrical shells has been established. With this method, one can finally get the approximately analytical solution. The computational formula of dynamic stress concentration factors around small cutouts is developed. As examples, the numerical results of these dynamic stress concentration factors are graphically presented and discussed. The computational formula can be used to solve the wave motion of low frequency in plates and shells with small cutouts.

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