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標題: 考慮動態載重下多孔性土壤之有限元素法動態分析
Dynamic Analysis of Poroelastic Soil Medium Under Moving Loads by Finite Element Method
作者: 陳鈞彥
Chen, Chun-Yen
關鍵字: Dynamic;動態載重;Poroelastic Soil;Finite Element Method;多孔性土壤;有限元素法
出版社: 土木工程學系所
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Part 1: Formulation of the boundary value problem Part 2: Analysis of the wave characteristics in regard to high-speed railway tracks. Eur J Mech A/Solids 1999;18:749 – 68. and p. 769 – 84. 33.Burke M, Kingsbury HB. Response of poroelastic layers to moving loads. Int J Solid Struct 1984;20(5):499 – 511. 34.Siddharthan R, Zafir Z, Norris GM. Moving load response of layered soil. Part I : Formulation; Part II: Verification and application. J Engng Mech, ASCE 1993 ;28: 597-631. 35.Zafir Z, Siddharthan R, Sebaaly PE. Dynamic pavement-strain histories from moving traffic load. J Transport Engng, ASCE 1994;120:821 – 42. 36.Biot MA. Theory of propagation of elastic waves in a fluid-saturated porous solid. Part I:Low-frequency range;Part II:High-frequency range. J Acoust Soc Am 1956;28:168-91. 37.Mei CC, Foda MA. Wave-induced responses in a fluid-filled porous solid with a free surface-a boundary layer theory. 38.Jeng, D. S. and Lin, Y. S., 1996, ”Finite element model for water wave-soil interaction,” Soil Dynamics and Earthquake Engineering, Vol. 15, pp. 283-300. 39.Lin, Y. S. and Jeng, D. S., 1996, ”Response of Poro-elastic seabed to 3-d wave system: a finite element analysis,” Coastal Engineering in Japan, Vol. 39, No. 2, pp. 195-182. 40.Jeng, D. S. and Lin., Y. S., 1997, ”Non-linear wave-induced response of porous seabed: a finite element analysis,” International Journal for numerical and analytical Methods in Geomechanics, Vol. 21, pp. 15-42. 41.Lin, Y. S. and Jeng, D. S., 1997, ”The effects of variable permeability on the wave-induced seabed response,” Ocean Engineering Vol. 24, No. 7, pp. 623-643. 42.S. H . Ju.J .J Stone and Rowlands,1993”A New Symmetric Contact Element Stiffness Matrix For Frictional Contact Problems,” Computer & Structure Vol.54.No.2.pp.289-301. 43.張淇銘,1999,”波浪作用下土壤內埋管之有限元素分析模式”,碩士論文,國立中興大學土木工程研究所。 44.蔡坤峰,2002,”波浪-海底床-埋管交互作用機制之探討:三維有限元素分析模式”,碩士論文,國立中興大學土木工程研究所。 45.黃繼賢,2004,”慣性力對海浪與海底土壤交互作用影響之有限元素模式”,碩士論文,國立中興大學土木工程研究所。 46.黃吉廷,2005,”慣性力對波浪-海底床-埋管交互作用機制之有限元素模式”,碩士論文,國立中興大學土木工程研究所。 47.黃冠倫,2007,”考慮接觸效應之海底埋管有限元素分析”,碩士論文,國立中興大學土木工程研究所。
本論文主要的目的在建立移動式載重作用下,土壤內孔隙水壓之二維有限元素分析模式。此模式主要利用 Biot的動態壓密理論及彈性力學之力平衡方程式來控制,並考慮土壤之遲滯阻尼效應;再利用 Galerkin 法建立有限元素分析模式,以分析受移動載重作用後土壤之位移、應力及孔隙水壓力。


This study aims to build the two-dimensional finite element model for pore water pressure under the moving loads. The formulation is controlled by Biot consolidation theory, Elasticity Mechanics of equilibrium equations, and elastic stress and strain linear relation; while the finite element model is established through the method of Galerkin, which analyzes the stress variations of the poroelastic solid. The solid is considered to be poroelastic in this paper.

The variations of soil stresses and the differentiations of the displacement will be first discussed. Whether the solid has pore water pressure or not, and whether the loads are moved will cause the diversities. The different the soil parameters, including shear modulus (G), damping ratio (δ), and seepage coefficient (K), makes the different degrees of variations soil stress and the displacement. This phenomenon will further covered in the study with the loading effect. Through the results of building and analyzing the model in this thesis, we hope it would offer the reference for engineering field when designing.
其他識別: U0005-0307200816112600
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