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3 Computer Assisted Mechanics and Engineering Sciences

3 1998

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Implementation of the harmonic transformation method in shape optimization

100%

Żochowski A.

Computer Assisted Mechanics and Engineering Sciences

1998

tom Vol. 5, nr 3

285-298

This paper describes an implementation of the variant of the speed method in shape optimization for plane elastic structures, based on harmonic transformations. It is coupled with special method for solving the singular elliptic problems resulting from geometric features like e. g. reentrant corners. Both approaches are based on the works of the author. The interactive system has been built, based on MATLAB environment, and the examples showing the robustness of the algorithms were solved.

Shape optimization method for nozzle design

100%

Mrša Z. , Medić G.

Computer Assisted Mechanics and Engineering Sciences

1998

tom Vol. 5, nr 1

45-54

The optimization of the nozzle shape was carried out using the finite element incompressible viscous flow solver, with discretization of total derivative, with the originally developed software. Optimization procedure used conjugate gradient method, with finite difference approximation of gradient of objective function. The mesh generator, specially adapted for chosen shape parametrization in the form of splines using Bezier cubic curve segments, has been used in optimal shape design of the nozzle. The examples of optimization with constraints, the nozzle shape optimization, and the unconstrained optimization of the confusor are presented. All test cases showed good convergence properties that qualifies the proposed methodology as appropriate for shape optimization in viscous flow problems.

2D shape optimization using genetic algorithm

75%

Kita E. , Tanie H.

Computer Assisted Mechanics and Engineering Sciences

1998

tom Vol. 5, nr 3

311-321

This paper presents an optimal design method of continuum structures by genetic algorithm. Profiles of the objects under consideration are represented by the spline functions and then, the chromasomes for the profiles are defined by the coordinates of the control points of the functions and the material code of the structures. The profiles and the material code are optimized by the genetic operations in order to determine the object satisfying the design objectives. The minimum weight design of the plate is considered as a typical example. The present method is applied to the problem in which the profile and the material of the objects are unknown.