Minimum weight

About: Minimum weight is a research topic. Over the lifetime, 2002 publications have been published within this topic receiving 28244 citations.

Approximating minimum-weight triangulations in three dimensions

Abstract: Let S be a set of noncrossing triangular obstacles in R3 with convex hull H . A triangulation T of H is compatible with S if every triangle of S is the union of a subset of the faces of T. The weight of T is the sum of the areas of the triangles of T. We give a polynomial-time algorithm that computes a triangulation compatible with S whose weight is at most a constant times the weight of any compatible triangulation.

Construction of minimum-weight spanners

Abstract: Spanners are sparse subgraphs that preserve distances up to a given factor in the underlying graph. Recently spanners have found important practical applications in metric space searching and message distribution in networks. These applications use some variant of the so-called greedy algorithm for constructing the spanner — an algorithm that mimics Kruskal’s minimum spanning tree algorithm. Greedy spanners have nice theoretical properties, but their practical performance with respect to total weight is unknown. In this paper we give an exact algorithm for constructing minimum-weight spanners in arbitrary graphs. By using the solutions (and lower bounds) from this algorithm, we experimentally evaluate the performance of the greedy algorithm for a set of realistic problem instances.

Stability boundaries of liquid-propelled elastic space vehicles withsloshing.

Abstract: for the minimum weight formulations for single loadings The factors 771, 772, 773, will appear in Eq (5) as multiples of Young's modulus E and as ratios coupled to load ratios These details have been omitted here to simplify the presentation; readers interested in pursing the subject further should see Ref 5 Although emphasis has been placed on minimum weight analysis here, geometric proportions have been obtained also in the examples for designs that are not minimum weight but are nearly minimum weight Thus, the approach allows some flexibility in matching the mathematically ideal, minimum weight structural design requirements with practical design requirements Two assumptions have been made in the present article: 1) interaction equations based on tests of unstiffened components are applicable to stiffened components of minimum weight design and 2) there is no coupling between the modes of instability for each type of loading These assumptions require experimental investigation to determine their validity Although the present work is subject to modification because of these uncertainties, it does reveal trends, parameters, and potentials that are useful as guides in the design of efficient structures subjected to combined loads References

A procedure to select the best material combinations and optimally design hybrid composite plates for minimum weight and cost

Abstract: The optimal layup with least weight or cost for a symmetrically laminated plate subject to a buckling load is determined using a hybrid composite construction. A hybrid construction provides further tailoring capabilities and can meet the weight, cost and strength constraints while a non-hybrid construction may fail to satisfy the design requirements. The objective of the optimization is to minimize either the weight or cost of the plate using the ply angles, layer thicknesses and material combinations as design variables. As the optimization problem contains a large number of continuous (ply angles and thicknesses) and discrete (material combinations) design variables, a -sequential solution procedure is devised in which the optimal variables are computed in different stages. The proposed design method is illustrated using graphite, kevlar and glass epoxy combinations and the efficiencies of the hybrid designs over the non-hybrid ones are computed.