| 受迫振动梁方程的整体解 |
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| 引用本文： | 柴玉珍,杨桂通,张建文. 受迫振动梁方程的整体解[J]. 中北大学学报(自然科学版), 2007, 28(5): 383-389 |
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| 作者姓名： | 柴玉珍 杨桂通 张建文 |
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| 作者单位： | 太原理工大学,数学系,山西,太原,030024;太原理工大学,应用力学研究所,山西,太原,030024 |
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| 摘 要： | 考虑线性阻尼效应和横向载荷作用,建立了一类轴向载荷和横向载荷作用下的振动梁方程,并利用Galerkin法,证明了该方程在非线性边界条件下整体解的存在唯一性.
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| 关 键 词： | 非线性边界 振动梁方程 Galerkin方法 整体解 |
| 文章编号： | 1673-3193（2007）05-0383-07 |
| 收稿时间： | 2007-03-01 |
Global Solutions for the Equation of Vibrating Beam Subjected to Force |
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| CHAI Yu-zhen,YANG Gui-tong,ZHANG Jian-wen. Global Solutions for the Equation of Vibrating Beam Subjected to Force[J]. Journal of North University of China, 2007, 28(5): 383-389 |
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| Authors: | CHAI Yu-zhen YANG Gui-tong ZHANG Jian-wen |
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| Affiliation: | 1. Dept. of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China 2. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, China |
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| Abstract: | In view of linear damping effect and transverse load,one kind of equations for vibrating beam subjected to axial load and transverse load was established.The existence and uniqueness of global solutions for the equation under nonlinear boundary conditions are proved by the Galerkin method. |
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| Keywords: | nonlinear boundary vibrating beam equation Galerkin method global solutions |
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