坐标正向的选择引起横截面转角连续条件的差异性  

The Difference in the Continuity Conditions of Cross-Sectional Rotation Caused by the Selection of Positive Coordinates

作　　者：林远东 刘延彬 考四明 张宏学 Lin Yuandong;Liu Yanbin;Kao Siming;Zhang Hongxue(School of Mechanics and Photoelectric Physics,Anhui University of Science and Technology,Huainan City,Anhui Province 232001)

机构地区：[1]安徽理工大学,力学与光电物理学院,安徽淮南232001

出　　处：《黄河科技学院学报》2023年第11期49-53,共5页Journal of Huanghe S&T College

基　　金：安徽省教育厅高等学校质量工程项目(2020kfkc179,2021xxkc033,2021jyxm0374)。

摘　　要：针对应用积分法求解静不定梁端部约束反力所出现的问题,通过出错原因分析并进行归纳和总结,提出了应用积分法求解梁的弯曲变形时须注意的事项。结果表明,当梁需要分段考虑且描述梁横截面位置的坐标参量正向选择不同时,分段点处的转角连续性条件会随着坐标正向选择的不同而有所不同。为了有效避免分段处转角连续性条件的描述错误,根据各段梁横截面位置的坐标参量正向选择的情况,对分段点处转角连续性条件的描述进行了归纳和总结,为正确应用积分法求弯曲变形提供参考和借鉴。In addressing the issues encountered when using the method of integration to solve for the constrained end reactions of statically indeterminate beams,this study conducts a comprehensive analysis of the reasons for errors and subsequently synthesizes and summarizes the findings.It proposes key considerations that must be taken into account when employing the method of integration to analyze the bending deformations of beams.The results indicate that when the beam needs to be segmented and the coordinate parameters describing the cross-sectional position of the beam are not selected in the forward direction,the continuity conditions of the rotation angle at the segmented point will vary with the different forward coordinate selections.In order to effectively avoid errors in describing the continuity conditions of the corner at the segmented point,the description of the continuity conditions of the corner at the segmented point was summarized and summarized based on the positive selection of coordinate parameters at the cross-sectional positions of each beam segment.This provides reference and reference for the correct application of the integration method to calculate bending deformation.

关 键 词：弯曲变形 挠曲线 转角 挠度 积分法 坐标变换 

分 类 号：G642.45[文化科学—高等教育学]