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Exact least-volume trusses for two symmetric point loads and unequal permissible stresses in tension and compression PDF Print E-mail
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 Print E-mail
zlota kreda zko-m
 
New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports PDF Print E-mail
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 Print E-mail
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 Print E-mail
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 ...
 
Stress energy minimization as a tool in the material layout design of shallow shells PDF Print E-mail
solid_structuresG. Dzierżanowski, Stress energy minimization as a tool in the material layout design of shallow shells, 
International Journal of Solids and Structures 49 (2012), pp. 1343-1354
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The present research deals with the compliance minimization problem of an elastic thin shallow shell subjected to simultaneous in-plane and bending loads. In this context, our goal is to lay out a given amount of material in the volume of a shell assuming that the distribution in the direction transversal to its middle surface S is homogeneous. The discussion hence reduces to the question of finding the optimal material arrangement on S. Similar problems were solved in the framework of two dimensional elasticity or Kirchhoff plate theory and the present research attempts to generalize these results. Following the pattern emerging from the above mentioned considerations, our research starts from the minimum compliance problem of a structure made of two elastic materials whose volumetric fractions are fixed.
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