考虑轴向力的双参数弹性地基有限长梁的静力问题  

Static problems of two parameter elastic foundation finite-length beams with axial force

作　　者：郭春霞[1] 王亚升 何芳社[1] 

机构地区：[1]西安建筑科技大学,西安710055

出　　处：《应用力学学报》2017年第3期470-475,共6页Chinese Journal of Applied Mechanics

基　　金：西安建筑科技大学青年基金(QN1633)

摘　　要：探讨轴向荷载对双参数地基梁弯曲的影响,以最小势能原理为基础,采用变分法推导了双参数地基上承受轴向力的梁的控制微分方程及边界条件,并明确了衰减参数γ需要满足的方程。对地基梁的参数γ进行了迭代,给出了双参数弹性地基上承受轴向力的有限长梁的内力及变形的求解方法。结果表明:轴向力的存在,使得地基梁的跨中挠度、最大弯矩、转角均有所增大;轴向力对地基梁的剪力有所影响,但影响程度并不大。本文计算方法准确可行,为双参数弹性地基模型的推广应用奠定了基础,具有广阔的应用前景。In this paper,we aim at discussing the effects of axial load on the bending of the two parameter foundation beams.The method used in our study is known as the principle of minimum potential energy.The governing differential equations and boundary conditions of the beam with axial force on the two parameter foundation are derived by using variational method,and the equation that needs to be satisfied for the parameterγis determined.The parameterγof foundation beam can be obtained by iterative method,and then the solution of the internal force and deformation of the finite length beam with axial force on the elastic foundation is presented.The studies we have performed show that the axial force makes the mid-span deflection,the maximum bending moment as well as the angle of the foundation beam bigger.The effect of axial force on the shear force of the foundation beam is not large.The method of this paper lays the foundation for the application of the two parameter elastic foundation model.

关 键 词：梁 双参数地基 最小势能原理 弯曲 

分 类 号：O39[理学—工程力学]