关于薄壁曲梁与直梁解析解的进一步讨论  

FURTHER DISCUSSION ON THE ANALYTICAL SOLUTIONS TO CURVED BEAM AND STRAIGHT BEAM

作　　者：赵迎港 杨宇威 赵颖涛[1] 高阳[2] 王敏中 ZHAO Yinggang;YANG Yuwei;ZHAO Yingtao;Gao Yang;WANG Minzhong(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China;Collge of Science,China Agricultural University,Beijing 100083,China;College of Engineering,Peking University,Beijing 100871,China)

机构地区：[1]北京理工大学宇航学院,北京100081 [2]中国农业大学理学院,北京100083 [3]北京大学工学院,北京100871

出　　处：《力学与实践》2022年第5期1189-1194,共6页Mechanics in Engineering

基　　金：教育部第二批新工科研究与实践项目(E-SXWLHXLX20202602);北京市高等教育本科教学改革创新项目(202010007001)资助。

摘　　要：薄壁曲梁的受力问题通常利用弹性力学平面问题的极坐标解法求解,其解法与直角坐标系下直梁受力问题的求解有着异曲同工之处。结果表明,当曲梁的曲率半径趋近于无限大时,可以得到直梁问题的解,从而展示了曲梁与直梁受力问题的内在联系。Bending of curved beams by forces at the end are typical elastic problem solved in polar coordinates,which are similar to cantilever problems in rectangular coordinates.The solutions of the curved beam problems will degenerate to straight cantilever beam with the curvature radius of curved beam tending to infinite,which shows the relationship between the curved beam bending problem and the straight beam bending problem.

关 键 词：曲梁 直梁 泰勒展开 梁弯曲 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]