Temat: minimum weight - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Memoization method for storing of minimum-weight triangulation of a convex polygon
Autorzy:: Selimi, Aybeyan
Krrabaj, Samedin
Saracevic, Muzafer
Pepić, Selver
Tematy:: minimum-weight triangulation
catalan number
data storage
memoization
dynamic programming; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/305479.pdf Link otwiera się w nowym oknie
Opis:: This study presents a practical view of dynamic programming, specifically in the context of the application of finding the optimal solutions for the polygon triangulation problem. The problem of the optimal triangulation of polygon is considered to be as a recursive substructure. The basic idea of the constructed method lies in finding to an adequate way for a rapid generation of optimal triangulations and storing - them in as small as possible memory space. The upgraded method is based on a memoization technique, and its emphasis is in storing the results of the calculated values and returning the cached result when the same values again occur. The significance of the method is in the generation of the optimal triangulation for a large number of n. All the calculated weights in the triangulation process are stored and performed in the same table. Results processing and implementation of the method was carried out in the Java environment and the experimental results were compared with the square matrix and Hurtado-Noy method.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The lightest plane structures of a bounded stress level transmitting a point load to a circular support
Autorzy:: Graczykowski, C.
Lewiński, T.
Tematy:: wspornik Michella
optymalizacja układu
Michell cantilevers
layout optimization
minimum weight design; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/970135.pdf Link otwiera się w nowym oknie
Opis:: The paper refers to the problem of Michell (1904) of finding the lightest fully stressed structures, composed of possibly infinite number of members, trasmitting a given load to a support forming a circle. The point load can be located within or outside the circle. The known analysis by Hemp (1973) is enhanced here by disclosing the explicit formulae for the weights of the ribs and the interior (fibrous domain). The optimal weight can be found by two manners: by applying the primal integral formula involving the density of the reinforcement or by computing the work of the load on the adjoint displacement. One of the aims of the paper is to show that both these formulae are equivalent. This identity is essential since in the case of point loads the equivalence of the primal and dual formulations has not been proved till now. Tlie analytically found layouts are confirmed by analysis of trusses (of finite number of joints) approximating the exact Michell-like solutions.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Optimal form-finding of cable systems
Optymalne kształtowanie konstrukcji cięgnowych
Autorzy:: Dzierżanowski, G.
Wójcik-Grząba, I.
Tematy:: konstrukcja cięgnowa
kształtowanie optymalne
minimum ciężaru
metoda gęstości sił
cable system
optimal form-finding
minimum weight
force density method; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/231399.pdf Link otwiera się w nowym oknie
Opis:: W artykule rozważane są zagadnienia związane z projektowaniem wstępnie napiętych konstrukcji cięgnowych. Głównym celem jest znalezienie konfiguracji kinematycznie niezmiennej o minimalnym ciężarze. W odróżnieniu od typowych zagadnień optymalizacji topologicznej celem zadania nie jest optymalizacja konstrukcji pod działaniem konkretnego obciążenia, chociaż zastosowana metoda rozwiązania jest podobna. Na początku formułujemy problem wariacyjny poszukiwania kształtu konstrukcji, a następnie przedstawiamy numeryczną procedurę iteracyjną służącą do znajdowania optymalnego położenia węzłów siatki cięgnowej.
Tensile structures in general, achieve their load-carrying capability only after the process of initial form-finding. From the mechanical point of view, this process can be considered as a problem in statics. As cable systems are close siblings of trusses (cables, however, can carry tensile forces only), in our study we refer to equilibrium equation similar to those known from the theory of the latter. In particular, the paper regards designing pre-tensioned cable systems, with a goal to make them kinematically stable and such that the weight of so designed system is lowest possible. Unlike in typical topology optimization problems, our goal is not to optimize the structural layout against a particular applied load. However, our method uses much the same pattern. First, we formulate the variational problem of form-finding and next we describe the corresponding iterative numerical procedure for determining the optimum location of nodes of the cable system mesh. We base our study on the concept of force density which is a ratio of an axial force in cable segment to its length.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Topology optimization in structural mechanics
Autorzy:: Lewiński, T.
Czarnecki, S.
Dzierżanowski, G.
Sokół, T.
Tematy:: structural optimization
topology optimization
free material design
anisotropic elasticity
compliance minimization
minimum weight design
funicular structures
optimal design of frames; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/202001.pdf Link otwiera się w nowym oknie
Opis:: Optimization of structural topology, called briefly: topology optimization, is a relatively new branch of structural optimization. Its aim is to create optimal structures, instead of correcting the dimensions or changing the shapes of initial designs. For being able to create the structure, one should have a possibility to handle the members of zero stiffness or admit the material of singular constitutive properties, i.e. void. In the present paper, four fundamental problems of topology optimization are discussed: Michell’s structures, two-material layout problem in light of the relaxation by homogenization theory, optimal shape design and the free material design. Their features are disclosed by presenting results for selected problems concerning the same feasible domain, boundary conditions and applied loading. This discussion provides a short introduction into current topics of topology optimization.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Application of self-adaptive population RAO algorithms to optimization of steel grillage structures
Autorzy:: Grzywiński, Maksym
Dede, Tayfun
Atmaca, Barbaros
Tematy:: minimum weight
grillage structure
layout optimization
size optimization
discrete variables
SAP-Rao algorithm
MATLAB
minimalna waga
konstrukcja rusztowa
optymalizacja układu
optymalizacja rozmiaru
zmienne dyskretne
algorytm SAP-Rao; Pokaż więcej
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Powiązania:: https://bibliotekanauki.pl/articles/38704465.pdf Link otwiera się w nowym oknie
Opis:: The self-adaptive population Rao algorithms (SAP-Rao) are employed in this study to produce the optimal designs for steel grillage structures. The size variables in the optimization problem consist of the cross-sectional area of the discrete W-shapes of these beams. The LRFD-AISC design code was used to optimize the constrained size of this kind of structure. The solved problem’s primary goal is to determine the grillage structure’s minimum weight. As constraints, it is decided to use the maximum stress ratio and the maximum displacement at the inner point of the steel grillage structure. The finite element method (FEM) was employed to compute the moment and shear force of each member, as well as the joint displacement. A computer program for the study and design of grillage structures, as well as the optimization technique for SAP-Rao, was created in MATLAB. The outcomes of this study are compared to earlier efforts on grillage structures. The findings demonstrate that the optimal design of grillage structures can be successfully accomplished using the SAP-Rao method described in this paper.
Dostawca treści:: Biblioteka Nauki

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