1. Abstract A well designed capacitive micro-machined switch requires small electrostatic pull-in force to easy switch-on and high natural frequencies to fast switch-off. Since the change of geometrical parameters of the bridge (moving part of the switch) affects contrary to one of these aspects, one could search for a shape of the bridge to obtain optimum functioning. The paper deals with desi...

We consider the multiphase shape optimization problem

In this paper, we introduce three new classes of open sets in a general Euclidean space RN . It is shown that every class of open sets is compact under the Hausdorff distance. The result is then applied to a shape optimization problem of elliptic equation. The existence of the optimal solution is presented.

This study, in a broad sense, fills in the missing parts in previous efforts at pullback stripping mode design with a dipping coal seam. Three different spoiling procedures have been developed: the normal mode, where the coal seam is flat/nearly flat; the uphill mode, where the coal seam is dipping and the dragline spoils uphill; and the downhill mode, where the coal seam is again dipping but t...

This study presents shape optimization of a gravity dam imposing stability and principal stress constraints. A gravity dam is a large scale hydraulic structure consisting of huge amount of concrete material. Hence, an optimum design gives a cost-benefit structure due to the fact that small changes in shape of dam cross-section leads to large saving of concrete volume. T...

Drawing or forming is a process normally used to achieve a required component form from a metal blank by applying a punch which radially draws the blank into the die by a mechanical or hydraulic action or combining both. When the component is drawn for more depth than the diameter, it is usually seen as deep drawing, which involves complicated states of material deformation. Due to the radial d...

We propose a novel discrete solver for optimizing functional map-based energies, including descriptor preservation and promoting structural properties such as area-preservation, bijectivity Laplacian commutativity among others. Unlike the commonly-used continuous optimization methods, our approach enforces map to be associated with pointwise correspondence hard constraint, which provides strong...