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On minimum compliance problems of thin elastic plates of varying thickness PDF Print E-mail
On minimum compliance problems of thin elastic plates of varying thickness
S. Czarnecki, T. Lewiński
Structural and Multidisciplinary Optimization
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The paper deals with two minimum compliance problems of variable thickness plates subject to an in-plane loading or to a transverse loading. The first of this problem (called also the variable thickness sheet problem) is reduced to the locking material problem in its stress-based setting, thus interrelating the stress-based formulation by Allaire (2002) with the kinematic formulation of Golay and Seppecher (Eur J Mech A Solids 20:631–644, 2001). The second problem concerning the Kirchhoff plates of varying thickness is reduced to a non-convex problem in which the integrand of the minimized functional is the square root of the norm of the density energy expressed in terms of the bending moments. This proves that the problem cannot be interpreted as a problem of equilibrium of a locking material. Both formulations discussed need the numerical treatment in which stresses (bending moments) are the main unknowns.
 
Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains revisited PDF Print E-mail
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 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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