Exact Solution of Spatial Warping Curved Beams in Natural Coordinates
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摘要: 基于现有空间曲线梁理论，考虑与扭转有关的翘曲变形和横向剪切变形的影响，建立了自然标架下空间曲线梁的内力和变形的解析解答．将该解答应用于受均布扭矩和竖向分布荷载的平面曲线梁的分析，将所得结果与Heins解答进行比较，证明了理论的正确．并应用该理论分析了解析式中翘曲和横向剪切变形项的影响．Abstract: The purpose is to present an exact analytical solution of the spatial curved beam under multiple loads based on the existed theory.The transverse shear deformation and torsion-related warping effects are taken into account.By sing this solution,a plane curved beam subjected to uniform vertical loads and torsions was analyzed.The accuracy and the efficiency of present theory were demonstrated by comparing its numerical results with Heins.solution.Besides,the effects of the transverse shear deformation and torsion-related warping on the deformations of the beam were discussed.
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Key words:
- curved beam /
- multiple load /
- warping /
- natural coordinate /
- analytical solution
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