基于位移置换法的梁变形计算机仿真研究  

Research on Computer Simulation of Beam Deformation Based on Displacement Method

作　　者：刘灿昌[1] 李银山[2] 李欣业[2] 王新筑[3] LIU Canchang;LI Yinshan;LI Xinye;WANG Xinzhu(School of Transportation and Vehicle Engineering,Shandong University of Technology,Zibo 255000,Shandong,China;School of Mechanical Engineering,Hebei University of Technology,Tianjin 300401,China;College of Aerospace Engineering,Chongqing University,Chongqing 400044,China)

机构地区：[1]山东理工大学交通与车辆工程学院,山东淄博255000 [2]河北工业大学机械工程学院,天津300401 [3]重庆大学航空航天学院,重庆400044

出　　处：《实验室研究与探索》2022年第5期91-94,129,共5页Research and Exploration In Laboratory

基　　金：国家自然科学基金(11972145);山东省自然科学基金(ZR2020ME122);重庆市研究生教学改革研究基金(yjg193010)。

摘　　要：利用位移互等关系计算单位载荷作用下的位移置换函数,通过变形叠加方法求解梁任意一点变形。推导在单位力作用下各种边界梁的位移置换函数,通过外载与位移置换函数互乘的积分求解梁变形解析解,得到梁变形计算表达式,利用Maple程序计算任意节点位移数值。设计计算机仿真算例,计算结果表明,位移置换法概念清楚、编程简单、计算效率高、适用范围广,为梁的变形计算提供一种简便计算模式。The displacement function under unit load is calculated by the reciprocal relation of displacement.The deformation at any point of beam is solved by the deformation superposition method.The displacement functions of various boundary beams under the action of unit force are derived.The analytical solution of beam deformation is obtained by the integral of the interaction of external load and displacement functions.Maple program is used to simulate the displacement of any node,and the expression of beam deformation is obtained.The results show that the displacement method has clear concept,simple programming,high calculation efficiency and wide application range,which provides a simple calculation mode for beam deformation calculation.

关 键 词：位移置换法 位移置换函数 位移互等 计算软件 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]