TY - JOUR

T1 - A study on optimum topology of plate structure using coordinate transformation by conformal mapping

AU - Kitayama, Satoshi

AU - Yamazaki, Koetsu

AU - Yamakawa, Hiroshi

PY - 2004/4

Y1 - 2004/4

N2 - 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.

AB - 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.

KW - Conformal Mapping

KW - Coordinate Transformation

KW - Finite Element Method

KW - Invariants of Bending Moments

KW - Optimum Design

KW - Optimum Topology

KW - Structural Analysis

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M3 - Article

AN - SCOPUS:3142541453

VL - 70

SP - 1016

EP - 1022

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 4

ER -