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无限域地基有限元分析的简化粘弹性边界 被引量:11

Spring-viscous boundary in finite element analyses for infinite media
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摘要 本文提出一种能用于无限域地基动、静力有限元分析的简单人工边界———粘弹边界,采用一层边界单元来实现。该边界弹簧部分采用弹性半空间Mindlin解计算,边界单元采用具有粘性阻尼的粘弹材料,通过确定合理的弹性模量、泊松比和粘性阻尼系数,不仅可以使边界单元能够模拟无限域远场的弹性恢复力,同时可以模拟粘性边界。通过算例分析,验证了该边界的有效性,它可用于土结构动力相互作用分析。 A simplified boundary (spring-viscous boundary) for infinite media used in finite element analysis is provided in this paper.It can be applied to static and dynamic foundation problem. This boundary can be realized by appending a narrow boundary element. The spring part of this boundary is calculated by Mindlin equation, and the frequency dependent viscous material damping is introduced into the boundary element to simulate the dashpots of the viscous boundary. Through choosing appropriate parameters of Young's modulus, Poisson’s ratio and viscous damping ratio, the narrow boundary element can simulate not only the elasticity recovery capacity of the far field media, but also the radiation damping. Case study proved that this simplified boundary is effective, and it can be used in dynamic soil-structure interaction problem.
出处 《地震工程与工程振动》 CSCD 北大核心 2005年第3期110-114,共5页 Earthquake Engineering and Engineering Dynamics
关键词 土动力学 动力相互作用 有限元 人工边界 MINDLIN解 soil dynamics dynamic interaction finite element artificial boundary Mindlin equation
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参考文献10

  • 1Lysmer J, Kuhlemeyer R L. Finite dynamic model for infinite media [J]. Journal of the Engineering Mechanics, ASCE, 1969, 95 (4):859~877.
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二级参考文献4

  • 1廖振鹏,中国科学.E,1996年,26卷,2期
  • 2王明洋,岩土工程学报,1995年,17卷,1期
  • 3张楚汉,结构与介质相互作用理论及其应用,1993年
  • 4杜皋,中国地震工程研究进展,1992年

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