The minimum compliance technique for shell structures. Plate thickness variance approach and its applications

Autor: Kouetsu Yamazaki, Junpei Abe, Juhachi Oda, Jirou Sakamoto, Masahide Matsumoto
Rok vydání: 1991
Předmět:
Zdroj: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A. 57:1005-1010
ISSN: 1884-8338
0387-5008
DOI: 10.1299/kikaia.57.1005
Popis: A minimum compliance design technique of plate thickness variance for general shell structures assembled by linear-or curved-shell elements is proposed. In this technique, the shell structures are discretized into isoparametric finite shell elements, and nodal point thicknesses are taken as design variables. Thickness distributions on subregions of each element are interpolated by quadratic shape function using the nodal values. Therefore, one can obtain optimal design in which the thickness varys continuously over the whole region of the shell structure. A mathematical programming method is employed to solve the optimization problems using design sensitivity analysis. As a check on effectiveness, the proposed method is applied to a classical cantilever beam problem and a plate clamped at two corners. Furthermore, the problem of maximizing the torsional rigidity of the motorcycle body, which consists of shell elements, is solved.
Databáze: OpenAIRE