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 -