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Minimum weight
About: Minimum weight is a research topic. Over the lifetime, 2002 publications have been published within this topic receiving 28244 citations.
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01 Jan 2016
TL;DR: This paper provides simple and explicit numerical criteria that allow to decide for each code what kind of supports its minimum-weight codewords have and to obtain a parametric description of the family (or the two families) of the supports.
Abstract: LetH be the Hermitian curve dened over a nite eld Fq2. Aim of the present paper is to complete the geometrical characterization of the supports of the minimum-weight codewords of the algebraic-geometry codes overH, started in (13). In that paper we considered the codes with distance d q 2 q and proved that the supports of minimum-weight codewords are cut onH by curves varying in a single family. Here we deal with the remaining Hermitian codes and show that the above result holds true only for some of the codes with lower distance. In fact, the minimum-weight codewords of codes with distance d < q are supported on the complete intersection of two curves none of which isH. Moreover, there are some very special code with distance q d q 2 q whose minimum weight codewords are of two dierent types: some of them are supported on complete intersections ofH and curves in a given family, some are supported on complete intersections of two curves none of which isH.
5 citations
TL;DR: In this article, a minimum weight design of trusses and frames by a method involving the maximization of the member energy ratios is treated, where the energy ratio of a member is the ratio of the strain energy stored in a member when the structure is subjected to a particular load condition to that which could be stored in the member.
Abstract: Minimum weight design of trusses and frames by a method involving the maximization of the member energy ratios is treated. The energy ratio of a member is the ratio of the strain energy stored in a member when the structure is subjected to a particular load condition to that which could be stored in the member. A theorem which justifies the maximization of the energy ratios to minimize weight as well as heuristic algorithms to effect this maximization are presented. These algorithms have been tested using a number of truss and frame structures subjected to multiple static loads, simple harmonic dynamic loads, and considering stress, local buckling, and displacement constraints. The results indicate that the method is very effective in obtaining minimum weight designs of trusses and frames.
5 citations
TL;DR: An optimisation procedure of reticular space structures based on the search of the minimum volume of the bars is described, which shows the versatility and the efficiency of the design system with regard to reticular structures of any shape and dimension.
Abstract: In this work, by the definition of a computer aided system, we describe an optimisation procedure of reticular space structures based on the search of the minimum volume of the bars. The design system is based on classical methods of solution of minimum problems, the Feasible Regulation Method and the Optimality Criteria Method, adapted to this problem of defining again the stability and convergence parameters. The research of the optimal solution is carried out with reference to popular commercial sections (tubes) taking into account dimensional constrains imposed by the industrial production and design codes. The results of some numerical examples show the versatility and the efficiency of the design system with regard to reticular structures of any shape and dimension.
5 citations
Journal Article•
5 citations