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

Satoshi Kitayama, Koetsu Yamazaki, Hiroshi Yamakawa

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)1016-1022
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number4
Publication statusPublished - 2004 Apr
Externally publishedYes



  • Conformal Mapping
  • Coordinate Transformation
  • Finite Element Method
  • Invariants of Bending Moments
  • Optimum Design
  • Optimum Topology
  • Structural Analysis

ASJC Scopus subject areas

  • Mechanical Engineering

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