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: A rule is presented for constructing such an order in the case in which the code has a basis of codewords with minimum weight in which each codeword differs from its predecessor by a word of minimum weight.
Abstract: A linear code is said to be in minimal-change order if each codeword differs from its predecessor by a word of minimum weight. A rule is presented for constructing such an order in the case in which the code has a basis of codewords with minimum weight. Some consequences concerning the ranking and separability are mentioned. >
12 citations
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TL;DR: Solving the optimisation problem of stress concentration for a perforated plate which has an analytical solution, shows that the presented mathematical programming method results in almost the same as the analytical solution.
Abstract: The aim of this work is to find the best boundary shape of a structural component under certain loading, to have minimum weight, or uniformly distributed equivalent stresses. Two shape optimisation algorithms are developed. One of them is a mathematical programming method, and considers nodal coordinates on the design boundary directly as the design variables, while the other one is rather an optimality criterion approach, based on normal movement of the design boundary. Solving the optimisation problem of stress concentration for a perforated plate which has an analytical solution, shows that the presented mathematical programming method results in almost the same as the analytical solution. Nevertheless, increasing the number of design variables to find more smooth shapes in mathematical methods can cause severe programming problems. Comparing the result of this method with that of the optimality criterion indicates that the latter is much easier to apply without any limit on the number of design variables. To calculate stresses at every iteration, the boundary element method (BEM) is used. Therefore both algorithms benefit from a simple mesh generation based on equal length elements, which provides the possibility of solving multiply-connected domains or geometrically complicated mechanical components. Both methods are used to find the optimum shape of a circular plate under radial loading with four design holes. Finally, the problem of the best topology and shape of circular disks is solved by the optimality criterion approach. Also it is proposed that ‘a fully stressed design algorithm which starts from the best topology design, has the best shape for weight optimisation.
12 citations
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TL;DR: Certain properties of geometric programming are used to develop a method for generating information about the optimum design for problems involving the minimization of a real valued function subject to inequality constraints.
12 citations
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TL;DR: The minimum weight design of circular conical concrete water tanks is studied in this paper, where the internal base radius, the depth and the semi-vertical angle of the cone are fixed while the thickness of the wall along the length is varied so that the bending (tensile) and hoop stresses attain values as close as possible to their respective allowable values.
12 citations
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TL;DR: This paper presents the application to a number of structural design problems of a procedure for determining minimum weight member sizes and experience with computational times for a wide range of problem sizes.
Abstract: This paper presents the application to a number of structural design problems of a procedure for determining minimum weight member sizes. Included are examples of trussed and stiffened plate structures and experience with computational times for a wide range of problem sizes.
12 citations