| 文克尔粘弹性地基上弹性地基板的解析解 |
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| 引用本文： | 祝颜知,冯紫良,程楠.文克尔粘弹性地基上弹性地基板的解析解[J].强度与环境,2001(2):42-50. |
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| 作者姓名： | 祝颜知 冯紫良 程楠 |
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| 作者单位： | 1. 同济大学地下系,
2. 郑州大学计算机系 , |
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| 摘 要： | 弹性地基板的计算一直是学者和工程师们十分关注的问题，本文将文克尔弹性地基模型中的弹簧用粘弹性元件来代替，建立了Kelvin和三元件文克尔粘弹性地基上弹性国上边简支矩形薄板的本构方程。采用对应性原理，运用拉普拉期变换推导出粘中弹性地基上四边简支矩形薄板的粘中弹性解。
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| 关 键 词： | 粘弹性地基 弹性地基板 对应性原理 解析解 矩形薄板 |
| 文章编号： | 1006-3919(2001)02-0042-09 |
| 修稿时间： | 2000年9月24日 |
Analytic Solutions of Elastic Foundation Plate on Winkler Viscoelastic Foundation |
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| ZHU Yan zhi,FENG Zi liang.Analytic Solutions of Elastic Foundation Plate on Winkler Viscoelastic Foundation[J].Structure & Environment Engineering,2001(2):42-50. |
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| Authors: | ZHU Yan zhi FENG Zi liang |
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| Abstract: | The plates on the elastic foundation have always been an interesting problem for scientists and engineers.In this paper,static and dynamic equations are established for a elastic plate resting upon a viscoelastic base of Winkler type by substituting viscoelastic elements for springs in the Winkler elastic plate foundation model.Based on the correspondence principle of rheology theory,the triangular series solutions of four free edge rectangular plate on Kelvin and Three elemnets viscoelastic foundations are derived by using Laplace transform method. |
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| Keywords: | Viscoelastic foundation Elastic foundation plate Correspondence principle |
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