| FLEXURAL WAVE PROPAGATION IN NARROW MINDLIN'S PLATE |
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| 作者姓名： | 胡超 韩刚 房学谦 黄文虎 |
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| 作者单位： | School of Aerospace Engineering Harbin Institute of Technology Harbin 150001，P. R. China School of Aerospace Engineering and Mechanics，Tongji University，Shanghai 200092，P. R. China，School of Aerospace Engineering Harbin Institute of Technology，Harbin 150001，P. R. China，School of Aerospace Engineering Harbin Institute of Technology，Harbin 150001，P. R. China，School of Aerospace Engineering Harbin Institute of Technology，Harbin 150001，P. R. China |
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| 摘 要： | Appling Mindlin's theory of thick plates and Hamilton system to propagation of elastic waves under free boundary condition, a solution of the problem was given. Dispersion equations of propagation mode of strip plates were deduced from eigenfunction expansion method. It was compared with the dispersion relation that was gained through solution of thick plate theory proposed by Mindlin. Based on the two kinds of theories, the dispersion curves show great difference in the region of short waves, and the cutoff frequencies are higher in Hamiltonian systems. However, the dispersion curves are almost the same in the region of long waves.
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FLEXURAL WAVE PROPAGATION IN NARROW MINDLIN'S PLATE |
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| HU Chao,HAN Gang,FANG Xue-qian,HUANG Wen-hu.FLEXURAL WAVE PROPAGATION IN NARROW MINDLIN''''S PLATE[J].Applied Mathematics and Mechanics(English Edition),2006,27(6). |
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| Authors: | HU Chao HAN Gang FANG Xue-qian HUANG Wen-hu |
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| Abstract: | Appling Mindlin's theory of thick plates and Hamilton system to propagation of elastic waves under free boundary condition, a solution of the problem was given. Dispersion equations of propagation mode of strip plates were deduced from eigenfunction expansion method. It was compared with the dispersion relation that was gained through solution of thick plate theory proposed by Mindlin. Based on the two kinds of theories, the dispersion curves show great difference in the region of short waves, and the cutoff frequencies are higher in Hamiltonian systems. However, the dispersion curves are almost the same in the region of long waves. |
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| Keywords: | Mindlin's plate wave propagation Hamilton formulism dispersion relation control of traveling wave extended wave and localized vibration |
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