弹性半空间地基上梁的静力弯曲解析解  

Analytic solution of beams loaded vertical force on elastic half space

作　　者：王爱勤[1] 

机构地区：[1]长安大学理学院,陕西西安710064

出　　处：《长安大学学报（自然科学版）》2008年第5期73-76,共4页Journal of Chang’an University(Natural Science Edition)

基　　金：陕西省自然科学基金项目(2006D23)

摘　　要：将弹性半空间地基受任意横向荷载作用下的静力位移积分变换解与两端自由梁的弯曲解析解相结合,采用三角级数展开的方法,对地基反力不做任何假设,求得了弹性半空间地基上两端自由梁受任意横向荷载作用下的解析解,包括梁的挠度、弯矩及梁与地基之间的接触反力。并对一些算例进行了计算分析。研究表明:计算结果与数值方法得到的结果吻合良好,取消Winkler地基模型或双参数地基模型的假设后,得到梁的内力及梁与地基之间的接触反力更合理、更精确。The integral transform solution of the semi-infinite elastic foundation under vertical steady loading is combined with the analytic solution of an elastic beam with two free ends, which leads to an analytical solution of the beam with two free ends on the semi-infinite elastic foundation. The deflection, inner force of the beam and the contact pressure between beam and foundation can be calculated numerically. A calculation example is analyzed and the results are compared with those from the other methods. The results show that： the calculated values havea good agreement with the ones of numerical method; when the assumption of Winkler foundation mode is deleted, the gained distributions of the inner forces in the beam and the contact pressure are more reasonable and accurate. 1 tab, 4 figs, 10 refs.

关 键 词：岩土工程 弹性半空间地基 两端自由梁 相互作用 解析解 

分 类 号：TU31[建筑科学—结构工程]