成長の構成則を用いた形状最適化手法の提案 静的弾性体の場合 [in Japanese] A proposal of shape optimization method by using a constitutive equation of growth. In the case of static elastic body. [in Japanese]
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A simple method for shape optimization of a static elastic body in a sense of uniform strength is newly proposed. The idea from which the method originated came from the growth behavior of living things, such as trees or bones, responding to a stress accompanying a load. On the use of the method, the optimum shape is formed by iterating a usual elastic analysis and incremental growth analysis by using a constitutive equation of growth with the result of the elastic analysis, without a particular technique for mathematical optimization programming or a steep extension of memory for calculation of the sensitivity. The growth law is given as a relation between incremental growth strain and a deviation of objective stress indicating the strength from basic stress. Two examples of a cantilever beam loaded at its tip and a column loaded at its tip under the influence of gravity are analyzed to show the effectiveness of the proposed method.
- TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 54(508), 2167-2175, 1988
The Japan Society of Mechanical Engineers