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Zakład Mechaniki Budowli i Zastosowań Informatyki
Złota kreda PDF Drukuj Email
Złota kreda dla prof. Tomasza Lewińskiego
zlota kreda tl 2015 01 m
 
Dynamiczne zarządzanie zdolnościami przesyłowymi sieci elektroenergetycznych ... PDF Drukuj Email
Projekt badawczo-rozwojowo + wdrożeniowy Narodowego Centrum Badań i Rozwoju oraz Narodowego Funduszu Ochrony Środowiska i Gospodarki Wodnej w ramach Programu GEKON pt.:
„Dynamiczne zarządzanie zdolnościami przesyłowymi sieci elektroenergetycznych przy wykorzystaniu innowacyjnych technik pomiarowych"
Na Wydziale Inżynierii Lądowej realizowane są 2 zadania:
1. Model dynamiczny konstrukcji wsporczych (słupów) z obciążeniami przekazywanymi poprzez przewody sieci
2. Model numeryczny słupów uwzględniający drgania przekazywane przez podłoże na konstrukcje (np. drgania komunikacyjne) oraz analiza wpływu tych drgań na zachowanie się przewodów
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Topology optimization of spatial continuum structures made of non-homogeneous material of cubic symmetry PDF Drukuj Email
Topology optimization of spatial continuum structures made of non-homogeneous material of cubic symmetry
R.Czubacki, T.Lewiński
Journal of Mechanics of Materials and Structures, 10 (2015), no 4, 519-535
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jmms mAbstract:
The paper deals with the minimum compliance problem of spatial structures made of a nonhomogeneous elastic material of cubic symmetry. The elastic moduli as well as the trajectories of anisotropy directions are design variables. The isoperimetric condition fixes the value of the cost of the design expressed as the integral of the unit cost assumed as a linear combination of the three elastic moduli of the cubic symmetry. The problem has been reduced to the pair of mutually dual auxiliary problems similar to those known from the theory of materials with locking and from the transshipping theory. The auxiliary minimization problem has the integrand of linear growth, which transforms the problem considered to the topology optimization problem in which simultaneously the shape of the structure and its material characteristics are constructed. In contrast to the free material design which in the single load case leads to the optimal Hooke tensor with a single nonzero eigenvalue, the optimal Hooke tensor of cubic symmetry has either
three or four nonzero eigenvalues.
 
PCM - CMM 2015 PDF Drukuj Email
Na 3 Kongresie Mechaniki Polskiej  oraz 21 międzynarodowej konferencji Metod Komputerowych w Mechanice z Zakładu prezentowane były nastepujące referaty:
pcm cmm 2015 mBołbotowski K., Sokół T. - New method of generating Strut and Tie models using truss topology optimization,
Czarnecki S., Czubacki R., Lewiński T., Wawruch P. - The Free Material Design reduced to the Monge-Kantorovich problem,
Czarnecki S., Czubacki R., Wawruch P. - Stress based version of isotropic material design in two dimensions,
Czarnecki S., Czubacki R., Lewiński T. - Topology optimization of spatial continuum structures made of a non-homogeneous material of cubic symmetry,
Czarnecki S., Wawruch P. - Selected problems of numerical analysis of Free Material Design,
Kacprzyk Z., Ostapska-Łuczkowska K. - Available numerical implementations of isogeometric analysis,
Łukasiak T. - HS(ro) – an isotropic material interpolation scheme based on Hashin-Shtrikman variational bounds,
Rozvany G.I.N., Sokół T., Pomezanski V., Gaspar Z. - Extension of Michell's classical (1904) truss topology optimization theory to multiple load conditions, stress and displacement constraints, space (3D) trusses, probabilistic design and discontinuous support conditions,
Sokół T., Rozvany G.I.N. - A new adaptive ground structure method for multi-load spatial Michell structures



 
Isotropic Material Design PDF Drukuj Email
Isotropic Material Design
S. Czarnecki
cmstComputational Methods in Science and Technology, CMST 21(2) 49-64 (2015)
DOI: 10.12921/cmst.2015.21.02.001
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Abstract:
The paper deals with optimal distribution of the bulk and shear moduli minimizing the compliance of an inhomogeneous isotropic elastic 3D body transmitting a given surface loading to a given support. The isoperimetric condition is expressed by the integral of the trace of the Hooke tensor being a linear combination of both moduli. The problem thus formulated is reduced to an auxiliary 3D problem of minimization of a certain stress functional over the stresses being statically admissible. The integrand of the auxiliary functional is a linear combination of the absolute value of the trace and norm of the deviator of the stress field. Thus the integrand is of linear growth. The auxiliary problem is solved numerically by introducing element-wise polynomial approximations of the components of the trial stress fields and imposing satisfaction of the variational equilibrium equations. The under-determinate system of these equations is solved numerically thus reducing the auxiliary problem to an unconstrained problem of nonlinear programming.
 
The emergence of auxetic material as a result of optimal isotropic design PDF Drukuj Email
The emergence of auxetic material as a result of optimal isotropic design
S. Czarnecki, P. Wawruch
czar wawPhys. Status Solidi B, 1–11 (2015) / DOI 10.1002/pssb.201451733
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Abstract:
Using both mathematical and numerical methods, the optimal distributions of material characterized by the Young modulus and Poisson ratio (as well as other moduli of isotropy) maximizing the overall stiffness of an inhomogeneous isotropic elastic 3D body transmitting a given surface loading to a given support are constructed. The overall stiffness of the body is defined as the inverse of the work of external forces on displacements, called here the compliance of the structure. The isoperimetric condition bounds the integral of the trace of the Hooke tensor. It is proved that isotropic composite materials forming the bodies of extremely high stiffness exhibit negative Poisson ratio in large subdomains, which points at the significance of the auxetic material in modern structural design. The obtained results show that the whole range of possible variation of the Poisson ratio is used, from −1 to 1/2, which proves usefulness of the auxetic materials.


 
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