| 具有结构阻尼的热弹性梁耦合系统的整体解 |
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| 引用本文： | 田添,张建文,张建国. 具有结构阻尼的热弹性梁耦合系统的整体解[J]. 数学的实践与认识, 2009, 39(15) |
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| 作者姓名： | 田添 张建文 张建国 |
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| 作者单位： | 1. 太原理工大学数学系,山西,太原,030024
2. 北方工业大学理学院,北京,100144 |
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| 摘 要： | 考虑热效应对弹性梁的影响,研究了一类具有结构阻尼的热弹性梁耦合系统的整体动力行为,采用Galerkin方法证明了该系统整体弱解的存在唯一性.
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| 关 键 词： | 热弹性梁 耦合系统 Galerkin方法 整体解 |
The Global Solution of a Coupled System of Thermoelastic Beam with Structural Damping |
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| TIAN Tian,ZHANG Jian-wen,ZHANG Jian-guo. The Global Solution of a Coupled System of Thermoelastic Beam with Structural Damping[J]. Mathematics in Practice and Theory, 2009, 39(15) |
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| Authors: | TIAN Tian ZHANG Jian-wen ZHANG Jian-guo |
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| Abstract: | Considering the impact of thermal effect to elastic beam,global dynamic behavior of a coupled system of non-linear thermo-elastic beam with structural damping is studied,and then by using Galerkin method,the existence and uniqueness of global weak solution of the system is proved. |
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| Keywords: | thermoelastic beam coupled system Galerkin method global solution |
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