in this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. to approach this aim the analytical formulas of secant stiffness matrix are presented. the models were validated and used to perform inve...

In this paper we consider a global optimization approach for solving fuzzy fractional posynomial geometric programming problems. The problem of concern involves positive trapezoidal fuzzy numbers in the objective function. For obtaining an optimal solution, Dinkelbach’s algorithm which achieves the optimal solution of the optimization problem by means of solving a sequence of subproblems ...

We show how to use graphics hardware for tackling optimization problems arising in the field of computational geometry. We exemplarily discuss three problems, where combinatorial algorithms are inefficient or hard to implement. Given a set S of n point in the plane, the first two problems are to determine the smallest homothetic scaling of a star shaped polygon P enclosing S and to find the lar...

We consider two optimization problems with geometric structures The rst one con cerns the following minimization problem termed as the rectilinear polygon cover problem Cover certain features of a given rectilinear polygon possibly with rectilinear holes with the minimum number of rectangles included in the polygon Depending upon whether one wants to cover the interior boundary or corners of th...

This paper investigates a family of dynamical systems arising from an evolutionary re-interpretation of certain optimal control and optimization problems. We focus particularly on the application in image registration of the theory of metamorphosis. Metamorphosis is a means of tracking the optimal changes of shape that are necessary for registration of images with various types of data structur...

Many combinatorial optimization problems such as set cover, clustering, and graph matching have been formulated in geometric settings. We review the progress made in recent years on a number of such geometric optimization problems, with an emphasis on how geometry has been exploited to develop better algorithms. Instead of discussing many problems, we focus on a few problems, namely, set cover,...

Fenestration and its design have a significant impact on the energy use associated with the artificial lighting, heating and cooling of a building. To date, research into window optimization has been for windows that are constrained to have a regular geometric shape and position. This paper describes an approach in which a building façade is divided into a number of cells, each cell having one ...

In this paper a brushless permanent magnet motor is designed considering minimum thrust ripple and maximum thrust density (the ratio of the thrust to permanent magnet volumes). Particle Swarm Optimization (PSO) is used as optimization method. Finite element analysis (FEA) is carried out base on the optimized and conventional geometric dimensions of the motor. The results of the FEA deal to ...