A study on optimum topology of plate structure using coordinate transformation by conformal mapping

Satoshi Kitayama, Koetsu Yamazaki, Hiroshi Yamakawa

研究成果: Article

抜粋

This paper presents a new method to determine optimum topology of plate structures using conformal mapping, which is used in fluid mecchanics, electromagnetic, and elasticity. At first we prove two invariants of bending moments satisfy Laplace equation. Then it is showed that corresponding relationship between fluid mechanics, electromagnetic and elasticity can be also valid in the theory of plate bending under a certain condition. Then a simple design method for optimum topology of plate structures is proposed. Several numerical examples are treated and it is comfirmed the effectiveness and validity of proposed method.

元の言語English
ページ(範囲)1016-1022
ページ数7
ジャーナルNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
70
発行部数4
出版物ステータスPublished - 2004 4
外部発表Yes

ASJC Scopus subject areas

  • Mechanical Engineering

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