Nonlinear flexibility-based beam element on Winkler-Pasternak foundation

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL Geomechanics and Engineering Pub Date : 2021-01-01 DOI:10.12989/GAE.2021.24.4.371
Worathep Sae-Long, S. Limkatanyu, C. Hansapinyo, Woraphot Prachasaree, J. Rungamornrat, M. Kwon
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引用次数: 1

Abstract

A novel flexibility-based beam-foundation model for inelastic analyses of beams resting on foundation is presented in this paper. To model the deformability of supporting foundation media, the Winkler-Pasternak foundation model is adopted. Following the derivation of basic equations of the problem (strong form), the flexibility-based finite beam-foundation element (weak form) is formulated within the framework of the matrix virtual force principle. Through equilibrated force shape functions, the internal force fields are related to the element force degrees of freedom. Tonti's diagrams are adopted to present both strong and weak forms of the problem. Three numerical simulations are employed to assess validity and to show effectiveness of the proposed flexibility-based beam-foundation model. The first two simulations focus on elastic beam-foundation systems while the last simulation emphasizes on an inelastic beam-foundation system. The influences of the adopted foundation model to represent the underlying foundation medium are also discussed.
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基于Winkler-Pasternak基础的非线性柔性梁单元
本文提出了一种新的基于柔度的梁-基础模型,用于基础梁的非弹性分析。为了模拟支撑地基介质的可变形性,采用了Winkler-Pasternak地基模型。在推导了问题的基本方程(强形式)的基础上,在矩阵虚力原理的框架下建立了基于柔度的有限梁-基础单元(弱形式)。通过平衡力形状函数,将内力场与单元力自由度联系起来。Tonti的图表被用来表示问题的强形式和弱形式。通过三个数值模拟来评估所提出的基于柔度的梁基础模型的有效性。前两个仿真集中于弹性梁基础系统,后一个仿真着重于非弹性梁基础系统。本文还讨论了所采用的基础模型对底层基础介质的影响。
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来源期刊
Geomechanics and Engineering
Geomechanics and Engineering ENGINEERING, CIVIL-ENGINEERING, GEOLOGICAL
CiteScore
5.20
自引率
25.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: The Geomechanics and Engineering aims at opening an easy access to the valuable source of information and providing an excellent publication channel for the global community of researchers in the geomechanics and its applications. Typical subjects covered by the journal include: - Analytical, computational, and experimental multiscale and interaction mechanics- Computational and Theoretical Geomechnics- Foundations- Tunneling- Earth Structures- Site Characterization- Soil-Structure Interactions
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