scholarly journals Closure to “Discussion of ‘Theoretical Criterion for Fracture of Metals Under Combined Alternating Stresses’” (1957, ASME J. Appl. Mech., 24, p. 640)

1957 ◽  
Vol 24 (4) ◽  
pp. 640-641
Author(s):  
Takeo Yokobori
Author(s):  
M. А. Fursanov ◽  
A. A. Zalotoy

The issues of prospective operation of the city electric networks in the conditions of the MART GRID, which will be quite different as compared to the traditional understanding and approaches, are under consideration. This requires the selection and application of appropriate analytical criteria and approaches to assessment, analysis and control of the networks. With this regard the following criteria are recommended: in a particular case – the optimal (minimal) technological electric power consumption (losses), while in general – economically reasonable (minimal) cost value of electric power transmission. It should be also borne in mind that contemporary urban networks are actively saturated with distributed sources of small generation that have radically changed the structure of electrical networks; therefore, account for such sources is an absolutely necessary objective of management regimes of urban electric networks, both traditional and in associated with the SMART GRID. A case of the analysis and control of urban electric 10 kV networks with distributed small sources of generation has been developed and presented according to the theoretical criterion of minimum relative active power losses in the circuit as a control case. The conducted research makes it possible to determine the magnitude of the tolerance network mode from the point of the theoretical minimum. 


2017 ◽  
pp. 1-15
Author(s):  
Vytautas Kardelis

This article deals with one of the most promising stages in Lithuanian dialectology discussed in the article “Seven stages of Lithuanian dialectology” published in the 2016 issue of the scientific electronic journal “Lietuvių kalba” (‘The Lithuanian Language’) (see Kardelis 2016). I referred to this stage as typological; however, now I think that the best term for this stage is the term areal-typological complexity (arealtypologische Komplexität) which originates from works by Alfred Lameli (2013). The concept of complexity is not associated with the attempt to classify dialects according to different “distinctive features” but rather with an idea, clearly supported by empirical facts that diatopical variation in language is highly complex. A closer look at the context of Lithuanian dialectology research reveals that the concept of complexity is still not discussed thoroughly; while specific studies are practically non-existent. The most general methodological principle which should be applied in carrying out an areal-typological study of the complexity of Lithuanian dialects could be referred to as the principle of offside. This means that studies of Lithuanian dialectology should offside from the conventionally applied research tradition and from: a) the aim to classify dialects typologically; b) all classifications of Lithuanian dialects published up to date; c) distinctive features described in the contemporary classification (as well as earlier classifications); d) the goal to specify the boundaries of dialects and subdialects. The second general theoretical criterion is related to the approach to the linguistic system. Here I rely on the concept of a diasystem introduced into the field of dialectology by Uriel Weinreich (1954; 1974). The whole area of the Lithuanian language together with its diatopical variants may be interpreted as a diasystem of Lithuanian which consists of separate systems. The most suitable, convenient and universal criteria for the analysis of empirical data established by the long-standing theory and practice of research into phonology are the following: 1) the quality of the elements of a vocalism system; 2) the quantity of the elements of a vocalism system; 3) the interrelationship between the quality and quantity of a vocalism system. Since here we are dealing with the Lithuanian language which features a complex prosodic system, we must introduce an additional criterion, i.e. 4) stress. Empirical data for the present study were collected from modern, phonological “grammars of dialects”. This article does not encompass the whole diasystem of the Lithuanian language since it only tackles the area covered by the Aukštaičiai dialect. The main phonological qualities according to which the basic vocalism model of the diasystem of the Aukštaičiai dialect can be described are the following: 1) the system of long vowels in the stressed position; 2) the shift in the level of rise of low vowels; 3) the system of short vowels in the stressed position; 4) automatic qualitative shifts; 5) vowel reduction (three degrees). The basic vocalism model described in accordance with the above criteria rather clearly indicates that the great differentiation of Lithuanian dialects postulated in the works on Lithuanian dialectology only has a phonetic and not a phonological basis and it can only be based on the differences of phonetic features. A phonological approach to the diasystem of the Aukštaičiai dialect of Lithuanian does not reveal any radical or extreme differentiation. In addition, the model also shows another significant regularity. The more features are taken into account, the lower the occurrence of individual, less significant dialectal elements distinguished on the basis of one feature (in comparison to the classification by A. Girdenis and Z. Zinkevičius). This approach thus allows solving the complexity of the puzzle of Lithuanian dialects (or, rather the complexity of the diasystem of the Aukštaičiai dialect of Lithuanian) which is summarised in Figure 10. As the matrix in Figure 9 illustrates, the diasystem of the Aukštaičiai dialect of Lithuanian so far consists of three zones represented in the matrix by three different colours.


2011 ◽  
Vol 25 (11) ◽  
pp. 1531-1541 ◽  
Author(s):  
WEIGANG SUN ◽  
YUEYING YANG ◽  
CHANGPIN LI ◽  
ZENGRONG LIU

In this article, synchronization inside complex networks with double time-delays and nonlinear inner-coupling functions are studied. Here double time-delays mean that each node vector field and every coupling node have retard time, while nonlinear inner-coupling functions refer to all the components of every node that are nonlinearly coupled. The theoretical criterion respecting synchronization is derived. And illustrative numerical examples are also given.


1980 ◽  
Vol 102 (4) ◽  
pp. 441-445 ◽  
Author(s):  
Kaichiro Mishima ◽  
Mamoru Ishii

A criterion for the onset of a slug flow in a horizontal duct is derived theoretically. A potential flow analysis is carried out by considering waves of finite amplitude. The stability criterion is obtained by introducing the wave deformation limit and the “most dangerous wave” concept in the stability analysis. The present theoretical criterion for slug formation shows very good agreement with a large number of experimental data and with some empirical correlations.


1990 ◽  
Vol 57 (3) ◽  
pp. 769-775 ◽  
Author(s):  
Hideo Koguchi ◽  
Toshio Yada

This paper treats an instability at the free surface of non-Newtonian (power-law) fluid films between two tilted plates in a negative squeeze motion. The meniscus instability in a fluid with the power-law constitutive equation was analyzed on the basis of the linear stability theory. In the analysis, a capillary number for the power-law fluid was newly defined and the relationship between the capillary number and the criterion for the instability of meniscus was theoretically deduced. In the experiment, a water solution of polyacrylamide (separan) whose viscosity obeys a power-law of the strain rate was used as a sample fluid, the meniscus instability in the fluid was examined by using a VTR and the wavelength of disturbances was measured. The theoretical criterion for the instability was in good agreement with experiments and the capillary number could rearrange well the experimental results for the disturbances.


2021 ◽  
Vol 25 (4) ◽  
Author(s):  
Jelena Đorđević Kozarov ◽  
Atila Juhas ◽  
Dragan Pejić ◽  
Platon Sovilj ◽  
Vladimir Vujičić

Paper defines an algorithm for generating two - bit dithered discrete Fourier basis functions (2BDDFBF) used in a Stochastic Digital Discret Fourier Transformation (SDDFT) processor.  Based on the theoretical criterion of marginal precision, and norm and orthogonality, the orthonormality of DFT with 32 harmonics was confirmed by simulation and experimentally. The experiment was detailed and comprehensive, both for standardization and for both types of orthogonality. It was performed in 236800000 points in each of the three variants of orthonormalization. The matching of theoretical and experimental precision is very acceptable and it can be said with great reliability that the proposed algorithm for generating DDFBF is correct. 2BDDFBF play key role in electricity measurement what is emphasized in the paper. .


2019 ◽  
Vol 6 (12) ◽  
pp. 191090 ◽  
Author(s):  
Philip Greulich ◽  
Ben D. MacArthur ◽  
Cristina Parigini ◽  
Rubén J. Sánchez-García

Cooperative dynamics are common in ecology and population dynamics. However, their commonly high degree of complexity with a large number of coupled degrees of freedom renders them difficult to analyse. Here, we present a graph-theoretical criterion, via a diakoptic approach (divide-and-conquer) to determine a cooperative system’s stability by decomposing the system’s dependence graph into its strongly connected components (SCCs). In particular, we show that a linear cooperative system is Lyapunov stable if the SCCs of the associated dependence graph all have non-positive dominant eigenvalues, and if no SCCs which have dominant eigenvalue zero are connected by a path.


2021 ◽  
Author(s):  
Nirmal Bisai ◽  
Santanu Banerjee ◽  
Stewart Zweben ◽  
Abhijit Sen

Abstract Abstract Anomalous plasma transport in the boundary region of a tokamak plasma is commonly associated with the formation and evolution of coherent density structures known as blobs. Recently, a theory for a universal mechanism of plasma blob formation has been put forward. It is based on a breaking process of a radially elongated streamer due to poloidal and radial velocity shears. The theory is well supported by two-dimensional and three-dimensional numerical simulation results but lacks experimental validation. In this work, we report the first ever experimental validation of this universal criterion by testing it against NSTX data on blobs obtained using the gas-puff imaging (GPI) diagnostic. It is found that the criterion is widely satisfied in most L-mode discharges and may explain the significantly larger number of blob events. We also validate the theoretical criterion against ADITYA Langmuir probe data taken in the scrape-off layer region.


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