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Structural Engineering and Mechanics Volume 8, Number 2, August 1999 , pages 151-164 DOI: https://doi.org/10.12989/sem.1999.8.2.151 |
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Nonlinear vibration of Mindlin plate subjected to moving forces including the effect of weight of the plate |
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Wang RT, Kuo NY
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| Abstract | ||
| The large deflection theory of the Mindlin plate and Galerkin\'s method are employed to examine the static responses of a plate produced by the weight of the plate, and the dynamic responses of the plate caused by the coupling effect of these static responses with a set of moving forces. Results obtained by the large deflection theory are compared with those by the small deflection theory. The results indicate that the effect of weight of the plate increases the modal frequencies of the structure. The deviations of dynamic transverse deflection and of dynamic bending moment produced by a moving concentrated force between the two theories are significant for a thin plate with a large area. Both dynamic transverse deflection and dynamic bending moment obtained by the Mindlin plate theory are greater than those by the classical plate. | ||
| Key Words | ||
| large deflection theory, Mindlin plate, weight, moving force | ||
| Address | ||
| Wang RT, Natl Cheng Kung Univ, Dept Engn Sci, Tainan 70101, Taiwan Natl Cheng Kung Univ, Dept Engn Sci, Tainan 70101, Taiwan | ||