轴向受载铁木辛柯梁的弯曲研究

Study on Bending of Axially Loaded Timoshenko Beams

轴向受载的铁木辛柯梁的弯曲问题.在新近提出的一种铁木辛柯梁模型中,引入了一个反映变形过程中轴力方向的跃迁系数,基于此模型,解析地获得了多种边界条件下梁挠度的封闭形式的表达式.此外,采用数值计算验证当前结果的正确性,并探讨了跃迁系数对梁弯曲行为的影响.

This paper aims to study the bending of axially loaded Timoshenko beams.Recently,a new Timoshenko beam model has been developed,which introduces a transition parameter that characterizes the direction of the axial forces.Based on it,the closed-form expressions of deflections are obtained in an analytical fashion for beams with various boundary conditions.In addition,numerical calculations are carried out to validate the present solutions and to explore the effect of the transition parameter.