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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 Mar 1969
TL;DR: An automated procedure in which the design for the next cycle is determined by the study of the strain energy distribution in the present cycle is presented, proving to be extremely efficient in arriving at minimum weight structures.
Abstract: : An automated procedure is presented for minimum weight design of structures. It is an iterative procedure in which the design for the next cycle is determined by the study of the strain energy distribution in the present cycle. The displacement method of analysis is used in developing the method. Other methods of analysis which have the capability to determine the strain energy in various parts of the structure should be applicable. Designs in the presence of stress constraints and stress and displacement constraints are also considered. Where there are only stress constraints, a simple iteration based on the study of the energy distribution is adequate. In the presence of displacement constraints, the design is carried out in two stages. The first stage of iteration is similar to that in stress constraint problems and the second stage is based on a search procedure. Examples of two and three dimensional bar structures are presented to illustrate the effectiveness of the method. It proved to be extremely efficient in arriving at minimum weight structures. (Author)

45 citations

Journal ArticleDOI
TL;DR: A finite element method for minimum weight design of structures with lower-bound constraints on the natural frequencies, and upper and lower bounds on the design variables, essentially an iterative solution of the Kuhn-Tucker optimality criterion.
Abstract: The paper presents a finite element method for minimum weight design of structures with lower-bound constraints on the natural frequencies, and upper and lower bounds on the design variables. The design algorithm is essentially an iterative solution of the Kuhn-Tucker optimality criterion. The three most important features of the algorithm are: (1) a small number of design iterations are needed to reach optimal or near-optimal design, (2) structural elements with a wide variety of size-stiffness may be used, the only significant restriction being the exclusion of curved beam and shell elements, and (3) the algorithm will work for multiple as well as single frequency constraints. The design procedure is illustrated with three simple problems.

45 citations

Journal ArticleDOI
TL;DR: In this article, an efficient structural optimization methodology is presented for the design of minimum weight space frames subject to multiple natural frequency constraints, which is implemented in an automated structural optimization system which has been applied to solve a variety of space frame optimization problems.
Abstract: An efficient structural optimization methodology is presented for the design of minimum weight space frames subject to multiple natural frequency constraints. A powerful class of generalized hybrid c onstraint approximations which require o nly the first order constraint function d erivatives have been developed to overcome inherent nonlinearity of the frequency constraint. The generalized hybrid constraint functions are shown to be relatively conservative, separable and convex in the region bounded by the move limits based on the formula described in this paper. The optimization methodology is implemented in an automated structural optimization system which has been applied to solve a variety of space frame optimization problems. N umerical results obtained for three example problems indicate that the o ptimization methodology requires fewer than 10 complete normal modes analyses to generate a near optimum solution.

45 citations

Journal ArticleDOI
TL;DR: In this paper, an elitist genetic algorithm is applied to steel structures to obtain structural elements with minimum weight and satisfy the safety factors or coefficients (ultimate limit states) of the applicable building code.

45 citations

Journal ArticleDOI
TL;DR: In this paper, an approach is presented to design fuselage frames for minimum weight, minimum cost, or a combination of the two, combining structural requirements and manufacturing constraints into an optimization scheme that alters the geometry of the individual frame components until the objective function is minimized.
Abstract: An approach is presented to design fuselage frames for minimum weight, minimum cost, or a combination of the two. The approach combines structural requirements and manufacturing constraints into an optimization scheme that alters the geometry of the individual frame components until the objective function is minimized. In addition to the lowest weight and cost points, a near-optimal Pareto set of designs is found, out of which the design that minimizes both cost and weight is determined through a penalty function approach. Four different fabrication processes are considered: conventional sheet metal, high speed machined metal, hand laid-up composite, and resin transfer molded composite. For lightly loaded frames, an automated resin transfer molding process gives the lowest cost and weight designs. For highly loaded frames, high speed machining gives the lowest cost design but automated resin transfer molding gives the lowest weight design. The effects of fabrication process and some of the design and manufacturing constraints on cost and weight are examined.

44 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202321
202239
202153
202051
201966
201858