A procedure of solution by quadratures for the strongly non-linear cylindrical deformations of shells and curved beams (“ring-like structures”) is discussed. Large strains, large rotations and material non-lineariti...
A procedure of solution by quadratures for the strongly non-linear cylindrical deformations of shells and curved beams (“ring-like structures”) is discussed. Large strains, large rotations and material non-linearities are involved. The procedure is then applied to obtain complete solutions to two problems: the deformations of the closed ring subjected to two opposing pulling forces and of the open ring subjected to combined pressure and tangential end load. Special features of the solutions as well as the merits of the several approximation models (from inextensional to membrane) are discussed in some detail. On discute à partir d'études antérieures [4], une procédure de résolution par quadratures pour les déformations cylindriques fortement non linéaires de coques et de poutres incurvées (“structures annulaires”). Ceci implique des déformations importantes, des rotations importantes et des non linéarités de matériaux. On applique ensuite la procédure pour obtenir des solutions complètes à deux problèmes: les deformations de l'anneau fermé soumis à deux forces de rappel opposées et de l'anneau ouvert soumis à une combinaison de pression et de charge tangente à l'extrémité. On discute en détail des caractéristiques particulières de solutions ainsi que les mérites de plusieurs modèles d'approximation (de l'inextensible à la membrane). Basierend auf frueheren Untersuchungen wird ein Loesungsver-fahren durch Quadraturen fuer stark nichtlineare zylindrische Verformungen von Schalen und gekruemmten Traegern (“ringartige Bauteile”) diskutiert. Grosse Dehnungen, starke Verdrehungen und Nichtlinearitaeten des Materials spielen eine Rolle, Das Verfahren wird zur Aufstellung der vollstaendigen Loesungen zweier Probleme benutzt: Die Deformationen eines geschlossenen Rings unter zwei entgegengesetzten Zugkraeften und eines offenen Rings unter kombinierter Druck- und tangentialer Endbelastung. Besondere Eigenschaften der Loesungen und die Vorzuege mehrerer Naeherungsmodelle werde
It is well known that certain graph‐theoretic extremal questions play a central role in the study of information network vulnerability. These extremal problems are special cases of the general question of realizabili...
It is well known that certain graph‐theoretic extremal questions play a central role in the study of information network vulnerability. These extremal problems are special cases of the general question of realizability of graph invariants. For example a ( p , Δ, δ, λ) graph is a graph having p ‐points, maximum degree Δ, minimum degree δ, and line‐connectivity λ. An arbitrary quadruple of integers ( a, b, c, d ) is called ( p , Δ, δ, γ) realizable if there is a ( p , Δ, δ, γ) graph with p = a , Δ = b , δ = c , and γ = d. Necessary and sufficient conditions for a quadruple to be ( p , Δ, δ, γ) realizable were recently given by the authors. In another manuscript they gave the solution to ( p , Δ, δ, k ) realizability, where k denotes the point connectivity. In this work we give necessary and sufficient conditions for ( p, q, k ), ( p, q , γ), and ( p, q , δ) realizability, where q denotes the number of lines of a graph.
A rational, systematic means of allocating air pollutant monitoring stations in an urban area is proposed in order to estimate the overall spatial averaged concentration. An urban area is divided into a certain number...
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A rational, systematic means of allocating air pollutant monitoring stations in an urban area is proposed in order to estimate the overall spatial averaged concentration. An urban area is divided into a certain number of subareas having nearly equal fluctuation of the pollution level. This division is made by solving an optimization problem of the spatial sample stratification in the Monte-Carlo random sampling method. In each subarea a representative point is selected in some defined sense as the location of a monitoring station. The procedure is applied to the design of the nitrogen oxides monitoring network in Kyoto airshed. The comparison between the proposed configuration and the actual one is presented.
This paper considers parametric preference orderings in group decision making. Some families of parametric group preference orderings are defined on the basis of three wellknown preference aggregation rules; the sum o...
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This paper considers parametric preference orderings in group decision making. Some families of parametric group preference orderings are defined on the basis of three wellknown preference aggregation rules; the sum of individual utilities, the Rawls maximin rule and the Nash bargaining solution function. They have some desirable properties such as monotonicity along with meaningful parameters, and therefore help the group of decision makers understand the present situation objectively and proceed the decision making process smoothly. Thus considering the parametric preference orderings suggested in this paper is an effective approach to group decision making or consensus formation.
In decision making under uncertainty, the best alternative may be obtained by maximizing the expected utility. To this end, many researchers have been paying much attention to the identification of utility functions. ...
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In decision making under uncertainty, the best alternative may be obtained by maximizing the expected utility. To this end, many researchers have been paying much attention to the identification of utility functions. Inpractical situations, however, there seem to be not a few possible cases such as group decisions where it is difficult to identify utility functions. When only partial knowledge of utility functions is available, one way for ranking alternatives is to make the most of information on probability distributions of alternatives. The theory of stochastic dominance has been developed for this purpose. Although the use of stochastic dominance may seldom lead to the final decision in general, it may be useful for narrowing down the alternetive set. In this paper, several kinds of stochastic dominance will first be surveyed and discussed. Then their potential effectiveness to risk management will be verified along with some examples.
The file allocation problem considers a file and a fully connected network having n nodes. The problem assumes that the overall file usage over a unit time period is known and it asks for the optimal set of network si...
The file allocation problem considers a file and a fully connected network having n nodes. The problem assumes that the overall file usage over a unit time period is known and it asks for the optimal set of network sites at which to locate copies of the file. This paper considers the same problem but it assumes that the behavior of the user access patterns changes over v planning periods in a manner, known in advance. A model is presented which shows that there are (2 n − 1) v possible file allocations. To assist the searching of this large solution space four theorems are presented which are subsequently utilized to analyze the problem and to solve an example case.
Severance and Lohman[1] proposed that all database amendments (i.e. additions, deletions and updates) are localized into a relatively small storage area, called a differential file. When the differential file grows su...
Severance and Lohman[1] proposed that all database amendments (i.e. additions, deletions and updates) are localized into a relatively small storage area, called a differential file. When the differential file grows sufficiently large, a reorganization incorporates all changes into a new generation of the database. This paper proposes a modification of the differential file approach in that the differential file only stores record additions. It is also concerned with the selection of the optimum reorganization points for both the original and the modified differential file approaches.
A crossassembler has been presented that provides the added features of control structures DO WHILE, DO UNTIL and IF-THEN-ELSE. The recent incorporation of these structures into many high-level languages via preproces...
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A crossassembler has been presented that provides the added features of control structures DO WHILE, DO UNTIL and IF-THEN-ELSE. The recent incorporation of these structures into many high-level languages via preprocessors or language extensions is one indication of the widely held belief that the exclusive use of these structures in algorithm development enhances the quality of the resulting software. With the current and expected growth of microsystem software, the early availability and use of programming tools such as the crossassembler will provide some hope that microsoftware will be of higher quality, and thus more reliabile than the previous generations of main-frame and minicomputer software.
A methodology for the study of deficiencies in large interconnected energy systems is presented. The solution to such problems involves the identification of strategies for the transfer of energy from available source...
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In this paper we discuss some of the major issues dealing with the design of a functional level concurrent fault simulator for digital networks. In the area of functional level modeling we discuss the following items:...
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