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Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited PDF Drukuj Email
structural optimizationExact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited
T. Lewiński, G. I. N. Rozvany, T. Sokół, K. Bołbotowski
Structural and Multidisciplinary Optimization
June 2013, Volume 47, Issue 6, pp 937-942
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The paper provides the corrections and extensions of the paper of the same title, published in vol. 35, 2008, pp. 165–174 of the current journal. The analytical solutions of Michell trusses constructed within the L-shaped domains are confirmed by the ground structure method of the truss optimization, thus giving the upper bounds of the exact solutions.


 
Exact least-volume trusses for two symmetric point loads and unequal permissible stresses in tension and compression PDF Drukuj Email
structural optimizationExact least-volume trusses for two symmetric point loads and unequal permissible stresses in tension and compression Tomasz Sokół · George I. N. Rozvany
Structural and Multidisciplinary Optimization
January 2013, Volume 47, Issue 1, pp 151-155,
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In this Authors' Reply previously presented solutions are extended to unequal permissible stresses in tension and compression, comments are made on the lack of adjoint displacement fields in so-called O-regions (memberless regions), and some computational details are explained.
 
Złota Kreda PDF Drukuj Email
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New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports PDF Drukuj Email
structural optimizationNew analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports, Tomasz Sokół · George I. N. Rozvany
Structural and Multidisciplinary Optimization, vol. 46 (4) (2012), 477-486,
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Extending some results by Sokół and Lewiński (Struct Multidisc Optim 42:835–853, 2010), the optimal topology of bi-symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations. It is rather remarkable that Michell’s best-known classical solution had to wait over hundred years for its generalization from one to two point loads. Some implications of these solutions, including properties of so-called O-regions, are also discussed.

 
Samouczek Metody Elementów Skończonych PDF Drukuj Email
Sokladka-dsamouczek Metody Elementów Skończonych dla studentów Budownictwa.  Część I: Statyka konstrukcji prętowych
Grzegorz Dzierżanowski, Marta Sitek
Wydawnictwo: OWPW
Rok 2012, stron 106, ISBN: 978-83-7814-014-6
Tekst jest skierowany przede wszystkim do studentów Budownictwa. Zakres omawianego w skrypcie materiału jest ograniczony do najważniejszych pojęć z zakresu MES i odpowiada programowi 45-godzinnego kursu „Mechanika Konstrukcji 3” prowadzonego na 2. semestrze studiów II stopnia na Wydziale Inżynierii Lądowej Politechniki Warszawskiej dla studentów specjalności „Inżynieria produkcji budowlanej”. Autorzy mają jednak nadzieję, że treści zawarte w opracowaniu będą przydatne studentom innych przedmiotów, specjalności lub kierunków studiów.
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On the comparison of material interpolation schemes and optimal composite properties in plane shape optimization PDF Drukuj Email
structural_optimizationOn the comparison of material interpolation schemes and optimal composite properties in plane shape optimization, Grzegorz Dzierżanowski
Structural and Multidisciplinary Optimization, vol. 46(5), pp 693-710
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This paper deals with the classical problem of material distribution for minimal compliance of twodimensional structures loaded in-plane. The main objective of the research consists in investigating the properties of the exact solution to the minimal compliance problem and incorporating them into an approximate solid-void interpolation model. Consequently, a proposition of a constitutive relation for a porous material arise. The non-smoothness of stress energy functional known from the approach based on homogenization may be thus avoided which is beneficial for the numerical implementation of the scheme. It is next shown that the simplified variant of the proposed formula justifies and generalizes the RAMP (Rational Approximation of Material Properties) interpolation model of Stolpe and Svanberg (Struct Multidisc Optim 22:116–124). In the second part of the paper, explicit formulae ...
 
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