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
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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。Abstract: 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.
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