节点文献
幂函数荷载作用下图乘法的一种新方法
A new method of diagram multiplication under power function load
【摘要】 给出了幂函数荷载作用下求解结构位移的图乘法的一种新方法.首先介绍了结构在复杂荷载作用下的弯矩图的叠加原理,然后研究了幂函数分布荷载作用下的弯矩图的面积及形心位置.求出弯矩图的面积及形心位置后根据叠加原理可以由此求解结构在幂函数荷载作用下的位移.该方法可以避免采用结构力学传统方法对非标准抛物线图形求解时常见错误,是对结构力学图乘法的一种有益尝试与探索.
【Abstract】 A new method of diagram multiplication was given that was used for solving structural displacement under power function load.Firstly the superposition principle in bending moment diagram was introduced of structure under complicated load.Then the parameters of bending moment diagram such as area and shape center position,have been calculated when structure under power function load.According to the area and shape center position of bending moment diagram,the structural displacement could be solved by the application of superposition principle under power function load.The method can avoid common errors as non standard parabola with traditional method,and it is a kind of beneficial attempt and exploration in graph multiplication of structural mechanics.
【Key words】 power function; diagram multiplication; parabola; displacement calculation;
- 【文献出处】 湖南文理学院学报(自然科学版) ,Journal of Hunan University of Arts and Science(Natural Science Edition) , 编辑部邮箱 ,2012年02期
- 【分类号】TU311.4
- 【下载频次】61