Pasternak地基中Levinson梁的静力响应与动力特性  

Static Response and Dynamic Characteristics of Levinson Beam on Pasternak Foundation

作　　者：李晓伟[1] 何光辉 

机构地区：[1]上海开放大学松江分校,上海201600 [2]浙江海洋大学港航与交通运输工程学院,浙江舟山316022

出　　处：《力学季刊》2016年第4期710-720,共11页Chinese Quarterly of Mechanics

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.Due to the fact that the Levinson beam model can better describes the shear deformation and shear stress continuity at the beam-foundation interface, the beam resting on the foundation is modelled as Levinson＇s higher order beam, using the Pasternak foundation model to depict the foundation-beam interaction. Both the differential equations and the corresponding f＇mite element equations governing the dynamic problem of the Levinson beam on Pastemak foundation are derived. Comparing the results generated by Levinson＇s higher-order beam model, Timoshenko model, plane stress model and thick plate model, the correctness of the proposed model is demonstrated. The numerical results show that the proposed model, compared with the Timoshenko model, improves much in predicting the structural deformation, internal forces and dynamic characteristics. Besides, it is found that over-simplification can be caused by neglecting the centroidal displacement in the axial direction for the beam on foundation.

关 键 词：有限单元法 PASTERNAK地基 Levinson高阶梁理论 动力学特性 

分 类 号：TU471.2[建筑科学—结构工程]