Pasternak地基中Levinson梁的静力响应与动力特性

发布时间：2018-01-26 02:23

本文关键词： 有限单元法 Pasternak地基 Levinson高阶梁理论动力学特性　出处：《力学季刊》2016年04期 　论文类型：期刊论文

【摘要】：由于Levinson梁模型较Timoshenko梁模型能更合理地描述地基梁的剪切变形及地基梁-基础界面的切应力连续条件,本文采用Levinson高阶理论描述地基梁,以Pasternak地基模型刻画地基梁-基础的相互作用,建立了Pasternak地基上Levinson梁的动力控制微分方程和对应的有限元方程.对比基于Levinson高阶梁理论、Timoshenko梁理论、平面应力假定及厚板理论的地基梁模型的分析结果,本文数值验证了新提出理论的合理性,分析了Pasternak地基参数对形心轴向变形的影响.数值结果表明:提出的地基梁模型较Timoshenko模型在结构变形、静力学行为和动力学特性方面均有较大的改进,此外,研究发现忽略地基梁形心轴向位移是不合理的.
[Abstract]:Because the Levinson beam model is more reasonable than the Timoshenko beam model, it can describe the shear deformation of foundation beam and the continuous condition of shear stress between foundation beam and foundation interface. In this paper, the Levinson high order theory is used to describe the foundation beam, and the Pasternak foundation model is used to describe the beam-foundation interaction. The dynamic control differential equation and the corresponding finite element equation of Levinson beam on Pasternak foundation are established. The comparison is based on the theory of high order Levinson beam. The results of Timoshenko beam theory, plane stress assumption and foundation beam model of thick plate theory are analyzed and the rationality of the new theory is verified numerically in this paper. The influence of Pasternak foundation parameters on the axial deformation of the center of foundation is analyzed. The numerical results show that the proposed foundation beam model is more deformed than the Timoshenko model. In addition, it is found that it is unreasonable to ignore the axial displacement of foundation beam.
【作者单位】：上海开放大学松江分校;浙江海洋大学港航与交通运输工程学院;
【分类号】：TU471.2
【正文快照】： Pasternak地基模型[1]考虑了地基梁与地基之间的剪切作用,较Winkler地基模型[1]更真实地反映了地基的力学行为.为此,基于Pasternak地基模型,诸多学者[2-9]对Pasternak地基梁的动力特性[2-4]和静力行为[3,5,9]进行了研究.其中,Ayoub等[7-9]将地基梁以Euler-Bernoulli梁模型描述

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