摘要
将双层叠合梁之间的接触状况拟合为一符合Goodman假设的弹性夹层,并对Winkler地基模型加以推广,把地基视为具有水平和竖向反力的弹性支承体,进而,导出具有水平摩阻力的弹性地基上双层叠合梁的微分方程组及其解析解.随后,提出了考虑梁截面竖向拉压和水平剪切效应的夹层和地基广义反应模量的概念和计算式.最后,通过几个算例来考察地基水平摩阻力对叠合梁挠度、截面总弯矩力和最大弯拉应力的影响.结果表明,地基水平摩阻力的影响将不能被忽略.
Based on Goodman model,which is used for simulating the contact condition between beams,using Winkler foundation model upgraded as an elastic supporting body with horizontal and vertical forces,a set of differential equations and relevant theoretical solutions for bi-layer beams on the elastic foundation with the horizontal frictional resistance are obtained.Considering the vertical tension and compression and the horizontal shear of beams,a concept of the generalized reaction modulus for interlayer foundation isproposed and the corresponding formulas are obtained.The influence of the horizontal frictional resistance on the deflection,the total sectional moment and the maximum flexural stress of bi-layer beams is discussed.The results show that the influence of the horizontal frictional resistance can not be ignored.
出处
《力学与实践》
CSCD
北大核心
2011年第4期33-37,共5页
Mechanics in Engineering
关键词
双层叠合梁
弹性地基
水平摩阻力
bi-layer beam
elastic foundation
horizontal frictional resistance
