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具有结构阻尼的热弹性梁耦合系统的整体解 被引量:1

The Global Solution of a Coupled System of Thermoelastic Beam with Structural Damping
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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. 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.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第15期209-212,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金(10772131)
关键词 热弹性梁 耦合系统 GALERKIN方法 整体解 thermoelastic beam coupled system Galerkin method global solution
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参考文献3

  • 1Ball J M. Initial boundary value problems for an extensible beam[J]. J Math Anal Appl,1973,42:61-90.
  • 2张建文,张建国,李庆士,蔡中民.具强阻尼非线性粘弹性梁方程的整体解[J].工程数学学报,2003,20(2):30-34. 被引量:9
  • 3Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics[M].Springer Verlag,1988.

二级参考文献5

  • 1Ball J M. Initial-boundary value problems for an extensible beam[J]. J Math Anal App1,1973;42:61 -90.
  • 2Brito E H. Decay estimates for the generalized damped extensible string and beam equatlonsC J]. Nonlinear Anal Theory Methods Appl, 1984; 12(8) : 1489 - 1496.
  • 3Biler. Remark on the decay for damped string and beam equations nonlinear anal[J]. Theory Methods Appl,1986; 10(9) :839 - 842.
  • 4Ghidaglia J M, Temam R A. Attractors for damped nonlinear hyperbolic equations[J]. J Math Pures et Appl,1987 ;66:273 - 319.
  • 5Temam R. Infinite dimensional dynamical systems in mechanics and physics[M]. Springer Verlag, 1988.

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