| 线载荷作用下圆柱壳环向弯曲变形的研究 |
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| 引用本文： | 李伟建,潘存云,王荣吉,张湘. 线载荷作用下圆柱壳环向弯曲变形的研究[J]. 力学与实践, 2010, 32(4): 35-39. DOI: 10.6052/1000-0879-lxysj2009-395 |
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| 作者姓名： | 李伟建 潘存云 王荣吉 张湘 |
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| 作者单位： | 国防科学技术大学机电工程与自动化学院机电系,国防科学技术大学机电工程与自动化学院机电系,国防科学技术大学机电工程与自动化学院机电系,国防科学技术大学机电工程与自动化学院机电系 |
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| 基金项目： | 湖南省自然科学基金，中国博士后科学基金 |
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| 摘 要： | 通过引入单三角级数形式的位移函数, 求解了法向任意分布载荷作用下对边简支时圆柱壳的环向弯曲问题, 把线载荷近似为微元矩形区的分布载荷, 推导出了线载荷作用下圆柱壳的环向弯曲变形计算式, 并给出了线载荷为均布和线性变化时的具体解.计算表明, 该种边界约束条件下圆柱壳的环向弯曲变形位移分布场的理论计算结果与有限元分析结果基本吻合.
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| 关 键 词： | 圆柱壳 环向弯曲变形 三角级数 |
| 收稿时间： | 2009-10-09 |
CIRCUMFERENTIAL BENDING DEFORMATION OF CYLINDRICAL SHELL UNDER LINEAR LOAD |
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| LI Weijian , PAN Cunyun , WANG Rongji , ZHANG Xiang. CIRCUMFERENTIAL BENDING DEFORMATION OF CYLINDRICAL SHELL UNDER LINEAR LOAD[J]. Mechanics and Engineering, 2010, 32(4): 35-39. DOI: 10.6052/1000-0879-lxysj2009-395 |
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| Authors: | LI Weijian PAN Cunyun WANG Rongji ZHANG Xiang |
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| Abstract: | With the displacement function expressed in singletrigonometric series, the circumferential bending problem of the cylindricalshell under arbitrary normal distributed load and simplysupported in the opposite edges, is solved. Approximately taking the distributed load as a linear load in the infinitesimal rectangleregion, the circumferential bending deformation formula of the cylindrical shellunder the linear load is deduced. The special formula isobtained when the linear load is uniformly-distributed and linearly varying.The results show that, under given boundary constraints, the displacementdistribution of the cylindrical shell circumferential bending deformationcalculated by the theoretical method is consistent with that calculatedby FEA. |
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| Keywords: | cylindrical shell circumferential bending deformation trigonometric series finite element |
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