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Search Results: 1 - 10 of 2946 matches for " static theorem "
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Determination of the limit load of statically indeterminate truss girders
Petrovi? ?arko,Milo?evi? Bojan,Mijalkovi? Marina,Br?i? Stanko
Facta Universitatis Series : Architecture and Civil Engineering , 2011, DOI: 10.2298/fuace1102217p
Abstract: The paper presents the procedure of limit load calculation of elasto-plastic trusses exposed to the action of proportional load which is gradually increased until the formation of failure mechanism. The calculation is based on the application of static and kinematic theorem of limit analysis which are the basis of the limit analysis of structures which produce the value of the limit load in a quick and efficient manner. Application of these theorems is displayed on the examples of truss girders loaded by one- and twoparameter load.
O uso do método dos elementos de contorno e do teorema estático da análise-limite na determina??o de cargas de colapso em problemas bidimensionais
Maciel, Weber Geovanni Mendes;Noronha, Marcos Aurélio Marques;Faria, Patrícia de Oliveira;
Rem: Revista Escola de Minas , 2005, DOI: 10.1590/S0370-44672005000400006
Abstract: the present development considers the boundary element method (bem) for the collapse load evaluation of plane strain problems, using the static theorem of the limit analysis. this analysis is based on the rigid-plastic constitutive model, thus requiring a non-linear approach for the boundary element method. normally, non-linear analyses with bems require the use of an auxiliary domain discretization with internal cells. to avoid this domain discretization, the present development makes use of a new non-linear bem approach using a pure boundary discretization recently proposed by noronha & pereira. the results obtained with the new bem approach are compared with results obtained by conventional bem and finite element method (fem). the comparison of the results for the three different approaches is based on the yield function and collapse load values.
A Geometrical Theorem about the Static Equilibrium of a Common-point-force System and its Application  [PDF]
Guo-quan Zhou
Open Journal of Applied Sciences (OJAppS) , 2013, DOI: 10.4236/ojapps.2013.31B1013

A geometrical theorem for the static equilibrium of a common-point-force system has been proven by means of virtual-work principle: The equilibrium point of a common-point force system has a minimal weighted distance summation to every fixed point arbitrarily given on each force line with a weighing factor proportional to corresponding force value. Especially the mechanical simulating technique for its inverse problem has been realized by means of pulley block. The conclusions for the inverse problem derived from mechanic method are in accordance with that given by the pure mathematical method, and the self-consistence of the theorem and its inverse problem has been demonstrated. Some application examples in engineering, economy and mathematics have been discussed, especially the possible application in the research of molecular structure, has also been predicted.

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010  [PDF]
Mohammad S. Qatu, Ebrahim Asadi, Wenchao Wang
Open Journal of Composite Materials (OJCM) , 2012, DOI: 10.4236/ojcm.2012.23009
Abstract: Laminated composite shells are frequently used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. This article reviews the recent literature on the static analysis of composite shells. It follows up with the previous work published by the first author [1-4] and it is a continuation of another recent article that focused on the dynamics of composite shells [3]. This paper reviews most of the research done in recent years (2000-2010) on the static and buckling behavior (including postbuckling) of composite shells. This review is conducted with an emphasis on the analysis performed (static, buckling, postbuckling, and others), complicating effects in both material (e.g. piezoelectric) and structure (e.g. stiffened shells), and the various shell geometries (cylindrical, conical, spherical and others). Attention is also given to the theory being applied (thin, thick, 3D, nonlinear …). However, more details regarding the theories have been described in previous work [1,3].
Composting of Food and Yard Wastes under the Static Aerated Pile Method  [PDF]
Gilberto í?iguez-Covarrubias, Rodrigo Gómez-Rizo, Walter Ramírez-Meda, José de Jesús Bernal-Casillas
Advances in Chemical Engineering and Science (ACES) , 2018, DOI: 10.4236/aces.2018.84019
Abstract: This work presents the results that were obtained in a commercial composting plant where food (149,690 kg) and yard wastes (144,520 kg) were used as raw materials for its stabilization under the aerated static pile (ASP) method as an alternative to the mechanically mixed windrow method to solve problems of flies and odor nuisance complaints. In a pile of approximately 498 m3, the change in temperature was the main parameter that was evaluated during 49 days of positive forced aeration. Subsequently, a part of the material of the ASP (62 m3) was subjected to a curing period for 44 days recording changes in temperature and humidity. The results of carbon dioxide and volatile ammonia emissions analyses (NH3) and of a bioassay to screen for the presence of phytotoxic conditions showed a very mature compost with an emergence > 90% and a seedling vigor > 95%.
On a Simpler, Much More General and Truly Marvellous Proof of Fermat’s Last Theorem (I)  [PDF]
Golden Gadzirayi Nyambuya
Advances in Pure Mathematics (APM) , 2016, DOI: 10.4236/apm.2016.61001
Abstract: English mathematics Professor, Sir Andrew John Wiles of the University of Cambridge finally and conclusively proved in 1995 Fermat’s Last Theorem which had for 358 years notoriously resisted all gallant and spirited efforts to prove it even by three of the greatest mathematicians of all time—such as Euler, Laplace and Gauss. Sir Professor Andrew Wiles’s proof employed very advanced mathematical tools and methods that were not at all available in the known World during Fermat’s days. Given that Fermat claimed to have had the “truly marvellous” proof, this fact that the proof only came after 358 years of repeated failures by many notable mathematicians and that the proof came from mathematical tools and methods which are far ahead of Fermat’s time, has led many to doubt that Fermat actually did possess the “truly marvellous” proof which he claimed to have had. In this short reading, via elementary arithmetic methods, we demonstrate conclusively that Fermat’s Last Theorem actually yields to our efforts to prove it.
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation  [PDF]
Shangjian Liu
Journal of Applied Mathematics and Physics (JAMP) , 2019, DOI: 10.4236/jamp.2019.71017
Abstract: In this work, we study the following problem. \"\", where \"\"?is the fractional Laplacian and Ω?is a bounded domain in RN?with Lipschitz boundary. g: R→R?is an increasing locally Lipschitz continuous function. and f∈Lm(Ω), \"\". We use Stampacchia’s theorem to study existence of the solution u
On the claimed “circularity” of the theory of natural selection  [PDF]
Petter Portin
Open Journal of Genetics (OJGen) , 2012, DOI: 10.4236/ojgen.2012.22012
Abstract: First, the numerous claims that the theory of natural selection would be a tautology, just empty circular reasoning, are shown to be erroneous, and that they follow from an essentialistic and deterministic way of thinking, which is not consistent with the dynamic theory of evolution. Secondly, it is proposed that a careful analysis applying Fisher’s Fundamental Theorem of Natural Selection of the seemingly tautologous sentence in question: “those who reproduce most, reproduce most” shows that in actual fact it is a predictive statement. Consequently, the analysis presented reduces the essence of the theory of natural selection to that one single statement.
The Distances in the Stable Systems Due to the Virial Theorem  [PDF]
Hasan Arslan
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.44094

The virial theorem is written by using the canonical equations of motion in classical mechanics. A moving particle with an initial speed in an n-particle system is considered. The distance of the moving particle from the origin of the system to the final position is derived as a function of the kinetic energy of the particle. It is thought that the considered particle would not collide with other particles in the system. The relation between the final and initial distance of the particle from the origin of the system is given by a single equation.

Pythagoras and the Creation of Knowledge  [PDF]
Jose R. Parada-Daza, Miguel I. Parada-Contzen
Open Journal of Philosophy (OJPP) , 2014, DOI: 10.4236/ojpp.2014.41010

In this paper, an approach to Pythagoras’ Theorem is presented within the historical context in which it was developed and from the underlying intellectual outline of the Pythagorean School. This was analyzed from a rationalism standpoint. An experiment is presented to the reader so that they, through direct observation, can analyze Pythagoras’ Theorem and its relation to the creation of knowledge. The theory of knowledge conceptualization is used.

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