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| NONLINEAR VIBRATION FOR MODERATE THICKNESS RECTANGULAR CRACKED PLATES INCLUDING COUPLED EFFECT OF ELASTIC FOUNDATION | |
| 作者姓名： | XIAO Yong-gang |
| 作者单位： | Department of Engineering Mechanics，Hunan University，Department of Engineering Mechanics，Hunan University，College of Bridge and Structure Engineering，Changsha University of Science and Technology Changsha 410082，P.R.China，College of Bridge and Structure Engineering，Changsha University of Science and Technology，Changsha 410076，P.R.China，Changsha 410082，P.R.China，Changsha 410076，P.R.China |
| 基金项目： | Project supported by the National Natural Science Foundation of China （ No. 50208004） and the Science and Technology Item of Ministry of Communications of China （No. 200231582512） |
| 摘 要： | IntroductionThe moderate thickness plates on elastic foundation are a kind of important structure instructural engineering. The mechanic characters of the plates on elastic foundation withdifferent boundary conditions have been received considerable atten… |
| 关 键 词： | 非线性振动 中等厚度矩形指标 弹性基础 裂纹 |
| 文章编号： | 0253-4827（2005）08-0963-10 |
| 收稿时间： | 2004-07-07 |
| 修稿时间： | 2005-03-18 |
Nonlinear vibration for moderate thickness rectangular cracked plates including coupled effect of elastic foundation |
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| Xiao Yong-gang,Fu Yi-ming,Zha Xu-dong.NONLINEAR VIBRATION FOR MODERATE THICKNESS RECTANGULAR CRACKED PLATES INCLUDING COUPLED EFFECT OF ELASTIC FOUNDATION[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):963-972. | |
| Authors: | Xiao Yong-gang Fu Yi-ming Zha Xu-dong |
| Institution: | 1. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China;College of Bridge and Structure Engineering, Changsha University of Science and Technology, Changsha 410076, P. R. China 2. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China 3. College of Bridge and Structure Engineering, Changsha University of Science and Technology, Changsha 410076, P. R. China |
| Abstract: | Based on Reissner plate theory and Hamilton variational principle, the nonlinear equations of motion were derived for the moderate thickness rectangular plates with transverse surface penetrating crack on the two-parameter foundation. Under the condition of free boundary, a set of trial functions satisfying all boundary conditions and crack's continuous conditions were proposed. By employing the Galerkin method and the harmonic balance method, the nonlinear vibration equations were solved and the nonlinear vibration behaviors of the plate were analyzed. In numerical computation, the effects of the different location and depth of crack, the different structural parameters of plates and the different physical parameters of foundation on the nonlinear amplitude frequency response curves of the plate were discussed. Project supported by the National Natural Science Foundation of China (No. 50208004) and the Science and Technology Item of Ministry of Communications of China (No. 200231582512) |
| Keywords: | moderate thickness rectangular plate elastic foundation crack nonlinear vibration |
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