四类变截面悬臂梁在侧向三角形载荷下的挠度  

DEFLECTION OF FOUR TYPES OF CANTILEVER BEAMS WITH VARIABLE CROSS SECTION UNDER LATERAL TRIANGULAR DISTRIBUTED LOADS

作　　者：廖晗 姜吕锋 李恒达 杨兴昌 李映辉[1] LIAO Han;JIANG Liifeng;LI Hengda;YANG Xingchang;LI Yinghui(School of Applied Mechanics and Engineering,Southwest Jiaotong Univers计y,Chengdu 610031,China)

机构地区：[1]西南交通大学力学与工程学院,成都610031

出　　处：《力学与实践》2020年第5期594-597,共4页Mechanics in Engineering

基　　金：国家自然科学基金(11872319);西南交通大学SRTP项目(201910613068)资助。

摘　　要：研究了圆柱、圆锥、抛物型和双曲型回转变截面悬臂梁在侧向三角形分布载荷下的挠度。基于四类回转悬臂梁的惯性矩沿长度方向的分布规律,得到其任意侧向分布载荷下的挠曲线方程。基于三角形分布载荷下的挠曲线方程,得到其端部挠度值。在等长度和等体积假设下,通过比较端部挠度值找到四类悬臂梁中挠度最小者。研究表明三角形分布载荷下,特征参数在特定范围内,母线为双曲线的悬臂梁挠度最小。The deflection of cylindrical, conical, parabolic and hyperbolic cantilever beams with reversed sections under laterally triangular distributed loads is studied. Firstly, from the distribution of moment of inertia along the length direction of four types of rotating cantilever beams, the deflection curve equation under any lateral triangular distributed load is obtained. Based on the deflection curve equation under the linear load,the deflection at the lower end of the lateral triangular distributed load is obtained. Under the assumption of equal length and equal volume, the minimum deflection among the four types of cantilever beams is found by comparing the end deflection values. It is shown that among the four types of cantilever beams under lateral triangular distributed load, the characteristic parameters are within a specific range, and the deflection of the cantilever beam with hyperbolic bus is the smallest.

关 键 词：悬臂结构 回转型梁 弯曲变形 

分 类 号：O341[理学—固体力学]