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 algorithm to minimize prestressing steel in concrete slabs is presented; it is based on elastic theory and uses the finite element method, and the influence line method and the equivalent load approach are reviewed and the latter is employed to compute the effects of prestressing.
Abstract: An algorithm to minimize prestressing steel in concrete slabs is presented; it is based on elastic theory and uses the finite element method. The influence‐line method and the equivalent‐load approach are reviewed and the latter is employed to compute the effects of prestressing. The cable weight of concrete slabs can be minimized by using nonuniform tendon layouts, but this problem requires iteration; since the moments and the prestressing force of a section depend on the tendon layout. A computer program that calculates the effects of different cable groupings and external loadings is developed. Considering certain cable layouts, these individual solutions are then manually superimposed and the sections are checked to determine whether they abide by the allowable stress limits. The best solution, which yields the minimum weight of prestressing reinforcement, is then obtained systematically. The advantage and importance of the algorithm is illustrated by solving three examples.
13 citations
01 Jan 1979
TL;DR: Approximation concepts and dual method algorithms are combined to create a new method for minimum weight design of structural systems, successfully extended to deal with pure discrete and mixed continuous-discrete design variable problems.
Abstract: Approximation concepts and dual method algorithms are combined to create a new method for minimum weight design of structural systems. Approximation concepts convert the basic mathematical programming statement of the structural synthesis problem into a sequence of explicit primal problems of separable form. These problems are solved by constructing explicit dual functions, which are maximized subject to nonnegativity constraints. The dual method is successfully extended to deal with pure discrete and mixed continuous-discrete design variable problems. The power of the method presented is illustrated with numerical results for example problems, including a thin delta wing with fiber composite skins.
13 citations
TL;DR: This paper presents a (2 - 2/v(G)-approximation algorithm solving for this problem, which improves previous results, where v(G) is the cyclomatic number of G.
13 citations
TL;DR: In this paper, an automated procedure is presented for designing minimum weight composite structures by using finite element techniques subject to various types of constraint. But this procedure is not suitable for composite joints.
13 citations
03 Apr 1978
TL;DR: In this article, a comparison of several optimization algorithms based on optimality criteria to design a minimum weight structure is presented, and a new iterative scheme similar to Newton-Raphson is also presented with the equations written in such a form that it is not necessary to select the initial design vector of the unknown Lagrange multipliers.
Abstract: This paper presents a comparison of frequently used optimization algorithms based on optimality criteria to design a minimum weight structure. After summarizing the different methods, the relationship between the various algorithms is shown. They differ only in the degree of approximations made in formulating the recurrence relations to modify the design variables and to evaluate the Lagrange multipliers. A new iterative scheme, similar to Newton-Raphson, is also presented, with the equations written in such a form that it is not necessary to select the initial design vector of the unknown Lagrange multipliers. It is shown that with this scheme a minimum weight design can be obtained with a smaller number of analyses of the structure than with previously proposed methods.
13 citations