| 粘弹性大挠度圆板的轴对称弯曲 |
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| 引用本文： | 杨挺青,屈绪艳.粘弹性大挠度圆板的轴对称弯曲[J].固体力学学报,1990,11(4):313-320. |
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| 作者姓名： | 杨挺青 屈绪艳 |
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| 作者单位： | 华中理工大学，华中理工大学 |
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| 摘 要： | 本文探讨粘弹性大挠度圆板的轴对称弯曲的基本方程和求解方法.用半逆解和摄动法分析挠度与膜力,对标准线性固体进行数例计算,并与小挠度理论相比较.全部方程与解答可退化得相应的弹性大挠度板的结果.
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| 关 键 词： | 粘弹性 大挠度 圆板 轴对称 弯曲 |
AXISYMMETRIC BENDING OF VISCOELASTIC CIRCULAR PLATE WITH LARGE DEFLECTION |
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| Yang Tingqing, Qu Xuyan Huazhong University of Science and Technclogy.AXISYMMETRIC BENDING OF VISCOELASTIC CIRCULAR PLATE WITH LARGE DEFLECTION[J].Acta Mechnica Solida Sinica,1990,11(4):313-320. |
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| Authors: | Yang Tingqing Qu Xuyan Huazhong University of Science and Technclogy |
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| Institution: | Yang Tingqing; Qu Xuyan Huazhong University of Science and Technclogy |
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| Abstract: | Fundamental equation and solving method for the axisymmetric bending of linear viscoelastic circular plate with large deflection are presented in this paper. The govening equations for a plate in Laplace transform space are discussed, and the characteristics and difficulties about solving method are investigated. When Poisson's ratio is constant, both deflection and membrane force can be obtained by combining semi-inverse method with perturbation technique. The equations and results of viscoelastic plate with large deflection can be reduced to those of elastic. Numerical solution for standard linear solid is carried out and compared with that of small deflection theory. The technique presented can be used for thin viscoelastic plates in engineering. |
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| Keywords: | Viscoelasticity Circular plate Large deflection |
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