考虑水平力作用的改进型文克勒地基模型

Modified Winkler foundation model with horizontal force taken into account

针对文克勒地基模型不能计算在水平力作用下的弹性地基梁的不足,提出了改进的文克勒地基模型.依据文克勒基本假定,考虑水平力对梁剪力和弯矩产生的影响,采用位移法推导出弹性地基梁梁单元劲度矩阵的修正项,形成可以用于计算承受水平力的弹性地基梁梁单元劲度矩阵,并编制了相应的有限元计算程序.计算表明,采用本模型计算承受水平力作用的弹性地基梁,可以进行合理的结构设计.

In view of some disadvantages of the Winkler foundation model in calculation of the elastic-foundation beam under the action of horizontal forces, a modified Winkler foundation model is developed in this paper. Based on the basic assumption of the Winkler foundation and in consideration of the influences of horizontal forces on shear forces and bending moments on beams, the correction term for the stiffness matrix of beam elements on elastic foundation is deduced by the displacement method, and a beam element stiffness matrix which is suitable for calculation of elastic foundation beams under the action of horizontal forces is formed. Besides, some programs for FEM calculation are also compiled. Calculation shows that the elastic foundation beams calculated with the modified model can be used for reasonable structural design.