弹性薄壳的建模与控制研究进展

柴树根,姚鹏飞

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (12) : 1504-1525.

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PDF(486 KB)
系统科学与数学 ›› 2012, Vol. 32 ›› Issue (12) : 1504-1525. DOI: 10.12341/jssms12030
论文

弹性薄壳的建模与控制研究进展

    柴树根1,姚鹏飞2
作者信息 +

DEVELOPMENT IN STUDY ON MODELING AND CONTROL OF THIN SHELLS

    CHAI Shugen1,YAO Peng-Fei2
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文章历史 +

摘要

介绍近十几年来薄壳的建模与控制研究所取得的一系列重要进展.主要内容包括对具有任意形状中面以及不同物理背景的3种经典薄壳------浅壳、Naghdi壳和Koiter壳的坐标卡无关的数学模型的建立以及这些模型的边界精确能控性、边界反馈镇定和适定正则性方面的研究成果.

Abstract

The airm of this paper is to introduce a series of important developments on the modeling and control of thin shells in the recent more than a decade. Mainly, we present the research results on modeling in the form of free coordinates, boundary exact controllability, boundary stabilization and well-posedness and regularity for the three classical thin shells, which are shallow shell, Naghdi’s shell and Koiter’s shell, with a middle surface of any shape under different physical backgrounds.”

关键词

薄壳 / 精确能控性 / 指数衰减 / 传递问题 / 适定正则性.

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柴树根,姚鹏飞. 弹性薄壳的建模与控制研究进展. 系统科学与数学, 2012, 32(12): 1504-1525. https://doi.org/10.12341/jssms12030
CHAI Shugen,YAO Peng-Fei. DEVELOPMENT IN STUDY ON MODELING AND CONTROL OF THIN SHELLS. Journal of Systems Science and Mathematical Sciences, 2012, 32(12): 1504-1525 https://doi.org/10.12341/jssms12030
中图分类号: 93B05    93C20    93D13    35B37   
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