Topic
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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TL;DR: In this article, an efficient approximation method to determine the optimum shape of the minimum weight of a body subjected to stress and displacement constraints is suggested by using the boundary element method, where the objective function of weight is approximated to an expansion of a second-order Taylor series and the stress and displacements constraints to expansions of a first-orderTaylor series, based on the sensitivity analysis at the current design point.
17 citations
Journal Article•
TL;DR: In this paper, a primal-dual algorithm was proposed to determine a minimum weight bibranching in a weighted digraph with running time O(n?(m+nlogn)), wherem=|A|,n=|V| andn?=min{|S|,|V\S|}.
Abstract: Given a directed graphD=(V,A) and a setS?V, a bibranching is a set of arcsB?Athat contains av?(V\S) path for everyv?Sand anS?vpath for everyv?V\S. In this paper, we describe a primal?dual algorithm that determines a minimum weight bibranching in a weighted digraph. It has running timeO(n?(m+nlogn)), wherem=|A|,n=|V| andn?=min{|S|,|V\S|}. Thus, our algorithm obtains the best known bounds for two important special cases of the problem: bipartite edge cover andr-branching.
17 citations
TL;DR: In this article, a higher-order theory of laminated sandwich plates is presented, which includes the effects of the normal and shear deformation on the deformation of the plates.
17 citations
TL;DR: An approach for the preliminary minimum weight design of tall framed steel buildings is presented and a building model is used in which the design requires that plastic hinges form only in the beams, which reduces substantially the number of collapse mechanisms which must be considered.
Abstract: An approach for the preliminary minimum weight design of tall framed steel buildings is presented. The design criteria are safety against collapse and a limitation on lateral deflections under service loads in the elastic range. The method of linear programming is used to generate the solution to the preliminary design. Plastic hinge theory is used to generate the equations of constraint on the moment carrying capacity of the members. The equations of constraint are compatible with the design criteria. To simplify the solution effort in the preliminary design, a building model is used in which the design requires that plastic hinges form only in the beams. This reduces substantially the number of collapse mechanisms which must be considered. A simple linear equation of constraint on the deflection under service loads is developed by separating the contributions of the columns and beams to the flexibility of a frame, and establishing a conservative ratio between these contributions. The proposed approach is illustrated by a numerical example in which the preliminary design of a 26-story building is generated.
17 citations
TL;DR: In this paper, a procedure is outlined by which one may design a stiffened circular cylindrical shell under a given uniform axial compression with minimum weight by judicious choice of the objective function and proper grouping of the parameters involved, the solution is accomplished by separation into two phases: the optimization phase and the design phase.
Abstract: A procedure is outlined by which one may design a stiffened circular cylindrical shell under a given uniform axial compression with minimum weight By judicious choice of the objective function and proper grouping of the parameters involved, the solution is accomplished by separation into 2 phases: the "optimization" phase and the "design" phase. The "optimization" phase yields design charts, which are then used in the "design" phase to arrive at the minimum weight configuration. A critical review of previous investigations and a comparison with their resulting configurations are presented. The stiffener geometry used in this comparison is rectangular, because it represents the only configuration which has been dealt with to some degree of success in the past.
17 citations