Efficient approximation method in minimum weight design of stiffened plate and shell structures. I - Problems under displacement and stress constraints
Abstract
Taylor series approximation (TSA) has been used to form an approximate subproblem to the actual design problem for the efficiency. A new intermediate variable approximation method for stiffened plate and shell structures is suggested, and minimum weight design under displacement and stress constraints is discussed. The approximation method of intermediate variables is considered for the thickness and geometric dimensions of the plate or shell and the stiffeners to construct a wide-range approximation model. For the displacement and stress constraints, it is found that the TSA using reciprocal variables of thickness and geometric dimensions gives good approximations for the typical stiffened plate structures. The approximation method is also applied to solve the minimum weight design problems of stiffened plate and shell structures, and the results are compared with those of direct variable TSA to illustrate the efficiency of optimization.
- Publication:
-
JSME Transactions
- Pub Date:
- January 1992
- Bibcode:
- 1992JSMET..58..118Y
- Keywords:
-
- Plate Theory;
- Shell Theory;
- Stiffening;
- Structural Design;
- Structural Weight;
- Design Analysis;
- Optimization;
- Taylor Series;
- Structural Mechanics