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Journal ArticleDOI

Optimal archgrids: Allowance for selfweight

TLDR
In this paper, the optimal design of archgrids for a combination of given external loads and self-weight is discussed, and three different methods are described and illustrated with examples of one-and two-way arch systems.
About
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1980-12-01. It has received 36 citations till now. The article focuses on the topics: Allowance (engineering).

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Citations
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Note on topology optimization of continuum structures including self-weight

TL;DR: In this article, the authors proposed to investigate topology optimization with density-dependent body forces and especially self-weight loading and showed that important improvements are achieved when the solution is carried out using the gradient-based method of moving asymptotes (GBMMA) approximations.
Journal ArticleDOI

On plane Prager-structures—I☆

TL;DR: In this paper, a systematic method for constructing plane Prager-structures for any system of vertical loads is outlined and illustrated with examples, where the sign of all member forces must be the same and the vertical location of all external loads is to be optimized.
Journal ArticleDOI

Recent Developments in Structural Optimization

TL;DR: A review of recent developments in the area of numerical structural optimization over a period of approximately five years, 1980-1984, is presented in this paper, where recent reviews, techniques and civil engineering design applications are covered, as well as problems with stability, frequency and shape constraints.
References
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Journal ArticleDOI

A new class of structural optimization problems: Optimal archgrids

TL;DR: In this article, the optimal shape of a curved surface structure consisting of a system of intersecting arches in two prescribed directions is determined for square, rectangular and cross-shaped domains.
Journal ArticleDOI

Optimal Plastic Design: Allowance for Self-Weight

TL;DR: In this article, a modification of the Prager-Shield condition is introduced, which requires the strain rates to be everywhere equal to the gradient of the specific cost function, with a view to optimizing structures for a combination of applied loads and self-weight (bodyforces).