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: Enough conditions for t-properness and a list of codes known to be proper, many of which have been studied by these sufficient conditions, are presented and special attention is paid to error detecting codes of interest in modern communication.
12 citations
TL;DR: In this paper, a numerical technique for determining the minimum weight design of a one-dimensional panel for which an aeroelastic eigenvalue characterizing the flutter speed is held constant is presented.
Abstract: T paper presents a numerical technique for determining the minimumweight design of a one-dimensional panel for which an aeroelastic eigenvalue characterizing the flutter speed is held constant. The governing differential equations are approximated by sets of difference equations adjoined to the weight function via a penalty function. A conjugate gradient method is applied to the resulting sequence of unconstrained minimization problems. Numerical results are obtained for solid simplysupported panels with constant inplane stresses. These results supplement those of Armand and Vitte who posed a solid panel problem without inplane stresses and Weisshaar who obtained numerical solutions for a sandwich panel without inplane stresses using a minimum thickness constraint. The discrete variable technique has been applied previously to flight path optimization and is thought to have several advantages, including 1) ease of implementation, 2) exact satisfaction of boundary conditions, 3) ability to treat the frequency parameter a as an additional problem variable, 4) ability to avoid the differential equation end point singularities without imposing a minimum thickness constraint, and 5) ease in obtaining adequate initial solution estimates.
12 citations
TL;DR: In this article, the use of algebraic linear programming for the minimum weight design of steel portal frames subject to the constraints of the Kinematic Theorem of plastic collapse is described.
12 citations
TL;DR: In this paper, an iterative resizing of the elements of a finite-element model to achieve minimum weight is proposed. But the program nominally treats a single generalized deflection constraint (linear combination of nodal deflections), but multiple constraints can be accommodated in many cases of practical interest by multiple submissions of the program.
Abstract: Optimally criteria are applied in the iterative resizing of the elements of a finite-element model to achieve minimum weight. In addition to materials that can be considered to be homogeneous for analysis purposes, composite laminates with layups of considerable generality can be treated. Strength resizing of composite elements is done by treating the laminate as a unit, permitting the application of criteria consistent with current design practice. In addition, the program nominally treats a single generalized deflection constraint (linear combination of nodal deflections), but multiple constraints can be accommodated in many cases of practical interest by multiple submissions of the program. Results are presented for two representative lifting-surface structures, subject to both strength and twist constraints.
12 citations
TL;DR: It is formally proved that Prim's minimum spanning tree algorithm is correct for various optimisation problems with different aggregation functions and new algebraic structures are worked in that capture key operations used in Prim's algorithm and its specification.
12 citations