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標題:多孔彈性平板之動態反應
學年82
學期1
發表日期1993/12/10
作品名稱多孔彈性平板之動態反應
作品名稱(其他語言)Dynamic response of poroelastic slab
著者蔡慧錫;葉豐輝
作品所屬單位淡江大學機械與機電工程學系
出版者
會議名稱中華民國力學學會第十七屆全國力學會議=The 17th National Conference on Theoretical and Applied Mechanics
會議地點臺北市, 臺灣
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.
關鍵字多孔彈性平板;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
語言中文
收錄於
會議性質國內
校內研討會地點
研討會時間19931210~19931211
通訊作者
國別中華民國
公開徵稿
出版型式紙本
出處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
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