| 开口薄壁梁的扭转理论与应用 |
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| 引用本文： | 王兆强,赵金城. 开口薄壁梁的扭转理论与应用[J]. 力学学报, 2011, 43(5): 963-967. DOI: 10.6052/0459-1879-2011-5-lxxb2011-063 |
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| 作者姓名： | 王兆强 赵金城 |
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| 作者单位： | 1.上海交通大学 船舶海洋与建筑工程学院 |
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| 基金项目： | 上海市科研计划资助项目(072012028)~~ |
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| 摘 要： | 以Vlasov薄壁构件理论为基础, 推导了开口薄壁构件一阶扭转理论. 该理论考虑了翘曲剪应力对截面转角的影响, 截面的转角分为自由翘曲转角和约束剪切转角, 在约束扭转中, St.Venant扭矩仅仅与自由翘曲转角有关, 而翘曲扭矩仅与约束剪切转角有关. 利用半逆解方法求出了约束扭转中薄壁构件的St.Venant扭矩表达公式; 依据能量方法, 建立了约束剪切转角和翘曲扭矩之间的关系, 并提出了翘曲剪切系数概念, 给出了一阶扭转理论的微分方程. 为了有效求解微分方程, 给出了求解微分方程的初参数法方程和相应的影响函数矩阵; 当St.Venant扭矩可以忽略时, 得到与一阶弯曲理论(Timoshenko梁理论)相似的一阶扭转理论简化形式. 最后利用算例证明了一阶扭转理论和简化理论的有效性.
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| 关 键 词： | St. Venant扭矩 |
| 收稿时间： | 2011-03-28 |
| 修稿时间： | 2011-05-14 |
RESTRAINED TORSION THEORY OF OPEN THIN-WALLED BEAMS AND ITS APPLICATION |
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| Wang Zhaoqiang) Zhao Jincheng. RESTRAINED TORSION THEORY OF OPEN THIN-WALLED BEAMS AND ITS APPLICATION[J]. chinese journal of theoretical and applied mechanics, 2011, 43(5): 963-967. DOI: 10.6052/0459-1879-2011-5-lxxb2011-063 |
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| Authors: | Wang Zhaoqiang) Zhao Jincheng |
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| Affiliation: | 1.School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | Based on Vlasov's thin-walled beam theory,a first-order torsion theory of restrained torsion of open thin-walled beam is developed in consideration with the effects of shear deformation.It is assumed that the total rotation of a cross section is divided into a free warping rotation and a restrained shear rotation.In the restrained torsion,St.Venant torque is only related to the free warping rotation and the expression of St.Venant torque is derived by using a semi-inverse method.The torsion shear coefficien... |
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| Keywords: | thin-walled beam shear deformation torsion warping St.Venant torque |
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