多孔彈性平板之動態反應

淡江大學機構典藏 > 工學院 > 機械與機電工程學系暨研究所 > 會議論文 > Item 987654321/38128

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题名:	多孔彈性平板之動態反應
其它题名:	Dynamic response of poroelastic slab
作者:	蔡慧錫;葉豐輝
贡献者:	淡江大學機械與機電工程學系
关键词:	多孔彈性平板;動態反應;勁度函數;表面邊界條件;有限元素法;平板長度;位移;頻率響應函數;阻尼;動態傳輸函數;Poroelastic Slab;Dynamic Response;Stiffness Function;Surface Boundary Condition;Finite Element Method;Slab Length;Displacement;Frequency Response Function;Damping;Dynamic Transfer Function
日期:	1993-12
上传时间:	2010-01-11 14:44:21 (UTC+8)
摘要:	本文應用Biot的完全動態多孔彈性方程組推導出一多孔彈性平板的複數動態勁度函數, 並用以探求忽略平板厚度分析結果的適用範圍。此外不同的表面邊界條件對複數動態勁度函數的影響亦被深入探討。平板長度厚度比及能量耗損係數對複數動態勁度的改變亦被系統化的表示出來。文中以固體及液體位移函數表示的Biot完全動態多孔彈性方程組首先被轉換至拉普拉氏區域。進而應用Galerkin型態有限元素法,採任意四邊形元素推導出方程組的有限元素剛性矩陣。平板的動態傳輸函數則由一施於平板上表面的衝擊位移及表面反應力解析而得。平板側平面可穿透性及不可穿透性兩種狀態的結果將被考量。最後代表著平板勁度及阻尼意義的動態傳輸函數被表示於頻率區域或稱之複數動態勁度函數。各式參數對此一函數的影響將被充分的討論。 This paper derives a complex dynamic stiffness function for a poroelastic slab and uses this to examine the range of validity of solutions to Biot's dynamic poroelasticity equations when the transverse displacement is independent of the slab length. It also examines the effects of surface boundary conditions on the solutions to the equations and presents systematic studies of the effects of the slab length to thickness ratio and of the dissipation terms on the slab's storage and loss moduli. Biot's equations of poroelasticity are first phrased in terms of solid and fluid displacements and then transformed into the Laplace domain. The Galerkin type finite element method is proposed to solve these equations. With the use of a general quadrilateral element, the stiffness matrix for this method is then derived. The dynamic transfer functions are then obtained for the case of an impulsive displacement applied to the top surface of the slab. Cases of both permeable and impermeable side surfaces are considered. The resulting solutions for the Laplace transform of the impulsive excitation response are then transformed into the frequency domain complex response functions, called dynamic stiffness functions, which characterized the stiffness and damping of the layer. Parametric studies are then carried out employing these complex frequency response functions.
關聯:	中華民國力學學會第十七屆全國力學會議論文集(下)=Proceedings of the 17th National Conference on Theoretical and Applied Mechanics(II)，頁1005-1012
显示于类别:	[機械與機電工程學系暨研究所] 會議論文

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