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具有结构阻尼的热弹性梁耦合系统的整体解
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).
作者姓名:田添  张建文  张建国
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
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.

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
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).
Authors:TIAN Tian  ZHANG Jian-wen  ZHANG Jian-guo
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.
Keywords:thermoelastic beam  coupled system  Galerkin method  global solution
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