Let k~l be an integer, and let G = (V, E) be a graph. The closed kneighborhood N k[V] of a vertex v E V is the set of vertices within distance k from v. A 3-valued function f defined on V of the form f : V --+ { -1,0, I} is a three-valued k-neighborhood dominating function if the sum of its function values over any closed k-neighborhood is at least 1. The weight of a threevalued k-neighborhood ...

Abstract Manipulating the architecture of materials to achieve optimal combinations properties (inverse design) has always been dream scientists and engineers. Lattices represent an efficient way obtain lightweight yet strong materials, providing a high degree tailorability. Despite massive research done on lattice architectures, inverse design problem complex phenomena (such as structural inst...

In this research, the continuous adjoint method is applied to optimize an airfoil in subsonic and transonic flows. An Euler flow solver is used to analyze the inviscid compressible flow over airfoils in each design cycle. Two design problems appearing in aerodynamic shape optimization, namely inverse pressure design and drag minimization were investigated. In the first part, a test case was car...

In this paper, a manipulability analysis of a new parallel-type rolling mill, named ‘‘paramill,’’ in its conceptual design stage is investigated. The paramill considered uses two Stewart platforms (SPs) in opposite directions for the generation of 6 degree-offreedom motions of individual work-rolls. The objective of this new approach is to pursue an integrated control of the strip thickness, st...

In this paper, the manipulability analysis of a new parallel-type rolling mill “Paramill” in its conceptual design stage is investigated. Paramill uses two Stewart platforms (SPs) in opposite direction for the generation of 6 degree-of-freedom motions of each work-roll. The objective of this new technology is to permit an integrated control of the strip thickness, strip shape, pair-crossing ang...