集中切力作用在二分之一空間固體表面解析解正確性之探討

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Title:	集中切力作用在二分之一空間固體表面解析解正確性之探討
Other Titles:	Research on the Correctness of Cerruti's Problem
Authors:	邵德文;Shaw, Der-Wun;周宜興;Chou, I-Hsing
Contributors:	淡江大學機械與機電工程學系
Keywords:	半空間固體;三維彈性力學;解析法;Cerruti's問題;Boussinesq's問題;Half-Space Solid;Three-Dimensional Elasticity;Analytical Solution;Cerruti's Problem;Boussinesq's Problem
Date:	1999-10
Issue Date:	2013-04-09 11:48:22 (UTC+8)
Publisher:	臺北市 : 中華民國力學學會
Abstract:	從1882年V. Cerruti發表集中切力作用在二分之一空間固體表面的解析解後，就很少有學者對此問題做正確性的探討，因此本文依施力方向為x方向，重新假設與V. Cerruti的原始解析方法不同的拍伯克維支-紐伯-布斯尼斯克函數B/sub x/，β來推導新的解析解，並以COSMOS/M套裝軟體，選取8個節點元素進行有限元素的數值分析。在經由與兩種原始解析解及數值分析結果比較後，發現只有本文所解得的新解析解，較接近數值分析結果的物理意義。 In 1882, V. Cerruti published the analytical solution of concentrated tangential force acting on the surface of a half-space solid. Since then, the correctness of this problem was seldom been explored . In this paper, the tangential force is acting in X-direction, we assumed Papkovitch-Neuber Boussinesq functions B/sub x/, β that is different from V.Cerruti's original analytical solutio ns. In the numerical analysis, this thesis used the finite element analysis software-COSMOS/M and choose 8 Node solid element to obtain the numerical solutions. In comparing the results of the original analytical solutions, the solutions of this paper and the numerical solutions, we find that the analytical solutions in this paper are closer to the numerical solutions in its physical meaning.
Relation:	中華民國力學學會第廿三屆全國力學會議論文集(二)=Proceedings of the 23nd National Conference on Theoretical and Applied Mechanics(II)，頁161-170
Appears in Collections:	[Graduate Institute & Department of Mechanical and Electro-Mechanical Engineering] Proceeding

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