| 粘弹性基支薄板的准静态弯曲 |
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| 引用本文： | 杨挺青,鲁红兵,黄玉盈.粘弹性基支薄板的准静态弯曲[J].华中科技大学学报(自然科学版),1987(1). |
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| 作者姓名： | 杨挺青 鲁红兵 黄玉盈 |
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| 作者单位： | 华中工学院力学系
(杨挺青，鲁红兵)，华中工学院力学系(黄玉盈) |
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| 摘 要： | 本文讨论粘弹性基础上的粘弹薄板准静态弯曲的一般解法.文中利用板-地基系统的弹性粘弹性相应原理,以对边简支、另两边自由的粘弹性基支矩形板为例,导出了在拉氏象空间中的有关算式,然后采用数值逆变换的方法,求得板的挠度、基支反力和内力.数值计算中,同时给出了粘弹基支的弹性板、弹性基支的粘弹板和非基支粘弹性薄板的各种解答.
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| 关 键 词： | 粘弹性 薄板 弯曲 平衡方程 准静态 粘弹性基础 |
Quasistatic Bending of a Viscoelastic Plate Supported by a Viscoelastie Foundation |
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| Yang Tingqing Lu Hongbing Huang Yuying.Quasistatic Bending of a Viscoelastic Plate Supported by a Viscoelastie Foundation[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1987(1). |
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| Authors: | Yang Tingqing Lu Hongbing Huang Yuying |
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| Institution: | Yang Tingqing Lu Hongbing Huang Yuying |
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| Abstract: | A general solution for quasistatic bending of viscoelastic plate rested on linear viscoelastic foundation is discussed. The formulae of Laplace transform with respect to time for the rectangular plate with two simply supported opposite edges and two free edges are derived. The deflection of plate, the reaction and the internal moment are obtained by numerical inversion of the Laplace transform. Solutions for some special cases are presented. |
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| Keywords: | Viscoelasticity Thin plate Bending Equilibrium equation Quasi-static bending Viscoelastic foundation |
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