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文章基本信息

  • 标题:Theoretical Basics of Geometric Mechanics and Differential Geometry
  • 本地全文:下载
  • 作者:Tomáš Lipták ; Alexander Gmiterko ; Michal Kelemen
  • 期刊名称:American Journal of Mechanical Engineering
  • 印刷版ISSN:2328-4102
  • 电子版ISSN:2328-4110
  • 出版年度:2014
  • 卷号:2
  • 期号:7
  • 页码:178-183
  • DOI:10.12691/ajme-2-7-1
  • 语种:English
  • 出版社:Science and Education Publishing
  • 摘要:In this article are described the theoretical basics of geometric mechanics and differential geometry. In the introductory part of article, basic notions are explained that frequently occurring in the concept of geometric mechanics. It contains the basic building blocks that are used to create the configuration spaces. Further were described groups applied to the kinematic description of structure and to control in area of robotics and the fiber bundle that represents the configuration space for mechanical systems. The last part deals with the actions, such as the left and right action, lifted action and adjoint action.
  • 关键词:configuration; configuration space; left and right action; lifted action; adjoint action
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