叠加法求变刚度弹性板大变形下最大挠度的研究  

Maximum deflection of largest deformation of variable stiffness elastic plate by superposition method

作　　者：宋欣[1] 李侨 盛宏威 谷飞 孔子成 张嘉振[1,2] Song Xin;Li Qiao;Sheng Hongwei;Gu Fei;Kong Zicheng;Zhang Jiazhen(School of Mechanical and Power Engineering,Harbin University of Science and Technology,150080,Harbin,China;Institute of Composite Materials and Structures,Harbin Instiute of Technology,150080,Harbin,China)

机构地区：[1]哈尔滨理工大学机械动力工程学院,哈尔滨150080 [2]哈尔滨工业大学复合材料与结构研究所,哈尔滨150080

出　　处：《应用力学学报》2020年第3期1299-1304,I0027,共7页Chinese Journal of Applied Mechanics

基　　金：工信部民机专项子课题(MJZ-2017-F-13)。

摘　　要：利用逐段变形效应叠加法推导出求解变刚度弹性板大变形下最大挠度的解析方程,扩大了叠加法的应用范围。在此基础上,本文以典型变刚度弹性板--滑雪板为例,对解析方程作了进一步阐述。最后利用解析方程解,求出滑雪板在滑雪转弯时最大挠度和速度之间的耦合方程。此方程对滑雪运动具有指导意义。The piecewise deformation effect superposition method is exploited in this paper to derive the analytical formula for the maximum deflection under the large deformation of the variable stiffness elastic plate,and the application range of the superposition method is expanded.A typical variable stiffness elastic plate-skip is taken as an example,its analytical solution is further elaborated.Finally,the analytical solution method is used to solve the coupling equation between the maximum deflection and speed of the snowboard during skiing.This equation is of guiding significance for skiing.

关 键 词：叠加法 变刚度 大变形 最大挠度 

分 类 号：V214.41[航空宇航科学与技术—航空宇航推进理论与工程]