| 均布载荷下Arc型与S型悬臂梁的临界长度 |
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| 引用本文： | 刘建林.均布载荷下Arc型与S型悬臂梁的临界长度[J].烟台师范学院学报(自然科学版),2009(3):285-288. |
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| 作者姓名： | 刘建林 |
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| 作者单位： | 中国石油大学华东工程力学系,山东青岛266555 |
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| 基金项目： | 基金项目：教育部博士点基金（200804251520）,中国石油大学博士科研启动基金（Y081513） |
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| 摘 要： | 研究了悬臂梁、Arc型梁以及S型梁随着一无量纲参数的变化而逐渐演化的过程，求得了悬臂梁与基底接触形成Arc型梁以及S型梁的条件，并且通过最小势能原理，采用两种方法推导出了S型梁的临界悬空长度，通过叠加原理，求得了形成Arc型梁时基底的支持力．给出了随着无量纲参数的变化各种梁的挠曲线．这些分析对于工程设计，以及微机电系统、生物的毛细黏附等有一定的参考价值．
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| 关 键 词： | Arc型梁 S型梁 变分法 横截条件 临界悬空长度 |
Critical Lengths of Arc-shaped and S-shaped beams under the Action of Distributed Load |
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| LIU Jian-lin.Critical Lengths of Arc-shaped and S-shaped beams under the Action of Distributed Load[J].Yantai Teachers University journal(Natural Science Edition),2009(3):285-288. |
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| Authors: | LIU Jian-lin |
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| Institution: | LIU Jian-lin( Department of Engineering Mechanics, China University of Petroleum, Qingdao 266555, China) |
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| Abstract: | The evolution process with the change shaped and S-shaped beams are investigated. The coming the Arc-shaped beam is derived with of a non-dimensional variable about the cantilever, Arccondition of the cantilever contacting the substrate and bebeam or the S-shaped beam is presented. The critical hanging two methods based on the principle of least potential energy. The length of the S-shaped constraint force of the substrate for the Arc-shaped beam is also solved through the principle of superposition. Finally, all kinds of deflection curves are given with the change of the non-dimensional variable. These analyses may be beneficial to engineering design ,micro-electro-mechanical systems and capillary adhesion in biology, etc. |
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| Keywords: | Arc-shaped beam S-shaped beam variational method transversality condition critical hanging length |
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