Early short time transient response of finite L-shaped Mindlin plate |
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Authors: | Chun-Chuan LiuFeng-Ming Li Ting-Wei LiangWen-Hu Huang |
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Institution: | P. O. Box 137, School of Astronautics, Harbin Institute of Technology, Harbin 150001, PR China |
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Abstract: | The early short time transient response of an L-shaped plate is investigated by the method of reverberation ray matrix (MRRM) and the generalized ray method (GRM). The MRRM and GRM have been successfully used to study the transient elastic wave transmitting in the beams, planar trusses, space frames and infinite layered media. In the present paper, these two methods are extended to investigate the flexural wave propagation in a finite L-shaped Mindlin plate. The reverberation-ray matrix representing the multi-reflected and scattered waves in the L-shaped plate is presented. The rays in the GRM propagating in the L-shaped plate are determined by the shock source and the boundary conditions. From the numerical results, it indicates that the early short time transient responses of L-shaped plate calculated by the MRRM are the same as those by the GRM. The early short time transient acceleration responses are very large, while the early short time transient displacement responses are very small for the L-shaped plate subjected to the unit impulse. Furthermore, the effects of the different shock signals and the plate thickness on the early short time transient responses of the finite L-shaped Mindlin plates are also analyzed. |
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Keywords: | Early short time transient response Method of reverberation ray matrix Generalized ray method Finite L-shaped Mindlin plate |
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