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Minimum weight design of a spherical shell under a concentrated load at the apex
Author(s) -
Thevendran V.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180712
Subject(s) - discretization , minification , finite element method , apex (geometry) , shell (structure) , minimum weight , nonlinear system , mathematics , spherical shell , yield (engineering) , optimal design , mathematical optimization , structural engineering , geometry , engineering , materials science , mathematical analysis , mechanical engineering , physics , composite material , statistics , quantum mechanics
Abstract The minimum weight design of a spherical shell under a concentrated load at the apex is presented in this paper. The usual restrictions of statical equilibrium and various yield criteria have been utilized. The finite element method is used to discretize the design parameters and the resulting nonlinear minimization problems are solved using the modified Rosenbrock's optimization method.