Department of Structural Mechanics and Computer Aided Engineering
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.
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 ...
Comparison of some numerical integration methods for the equations of motion of systems with a finite number of degrees of freedom PDF Print E-mail

Comparison of some numerical integration methods for the equations of motion of systems with a finite number of degrees of freedom, Z.Kacprzyk, T.Lewiński
Engineering Transactions, 31, 2, pp. 213-240, 1983
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The subject of this paper are the numerical integration methods of the differential equations of vibration (in matrix form) of a physical system with a finite number of degress of freedom. Comparison was made between finite difference method, Newmark's method and Space-Time Finite Element method. The compared methods have been brought to a unified form, disclosing far-reaching similarities concerning the calculation methods of displacement and velocity. Analogies have been found between the recurrence formulae relating the displacement and velocity vectors in different methods. It was proved that these analogies allow for a comparative analysis of convergence of the three methods and confine it to the analysis of approximation of initial conditions and of external loads. Thirteen methods of approximation of initial conditions are discussed. New formulation is given of the Space-Time Finite Elements. The comparative analysis of convergence is limited to free oscillation of a system with a single degree od freedom.

Poradnik Metody Elementów Skończonych PDF Print E-mail
poradnik-mesPoradnik Metody Elementów Skończonych
Zbigniew Kacprzyk, Marcin Maj, Beata Pawłowska, Tomasz Sokół
Wydawnictwo Zakładu Mechaniki Budowli i Zastosowań Informatyki, Warszawa 2011, stron 118, ISBN 978-83-934725-0-5
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Spis treści
1.1 Statyczna analiza konstrukcji
1.2 Dynamiczna analiza konstrukcji
1.3 Stateczność
On refined plate models based on kinematical assumptions PDF Print E-mail
On refined plate models based on kinematical assumptions, T. Lewiński, Warsaw
Archive of Applied Mechanics, Volume 57, Number 2, 133-146 (1987)
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In the first part of the paper an energy-consistent model for thick, elastic, isotropic plates based upon Jemielita's kinematical hypothesis is proposed. Since no assumptions on stresses are stipulated the model is free of the usual discrepancy between stress and displacement fields, viz. no one of the constitutive equations being violated. The objective of the second part of the paper is to perform a passage from the model obtained to the simplified one which is energy-inconsistent. This latter model proves far-reaching similarities to the first Reissner theory and, on the other hand, when an appropriate change of the function standing for the averaged plate deflection is made, — to the Kelkel's considerations.
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