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査読

抄録

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.

本文言語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
4
出版ステータスPublished - 2004 4
外部発表はい

ASJC Scopus subject areas

  • Mechanical Engineering

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