On the Lateral Creep of Flat Belts

1963 ◽  
Vol 85 (3) ◽  
pp. 307-310 ◽  
Author(s):  
G. A. G. Fazekas
Keyword(s):  
Classical Theory ◽  
Nonlinear Materials ◽  
One Dimensional ◽  
Lateral Creep

Classical theory is based on one-dimensional (tangential) creep of a flat belt over the pulley. The present paper shows that in virtually every flat belt lateral creep affects performance very seriously, and explains some apparent anomalies, particularly those due to nonlinear materials.

All-optical simultaneous XOR-AND operation using 1-D periodic nonlinear material

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Tanay Chattopadhyay
Keyword(s):  
Contrast Ratio ◽  
Fdtd Method ◽  
Optical Computing ◽  
Material Model ◽  
Nonlinear Material ◽  
Gate Operation ◽  
Nonlinear Materials ◽  
One Dimensional ◽  
All Optical ◽  
Difference Time

Abstract In this paper, an all-optical XOR-AND gate operation has been proposed using one-dimensional periodic nonlinear material model. This structure consists of alternating layers of different nonlinear materials. In this design, we can obtain XOR and AND logical operation simultaneously at the reflected and transmitted port of the periodic structure. Numerical simulation has also been done using the finite-difference-time-domain (FDTD) method. The response time of this switching operation is picoseconds (ps) range order. We find low insertion loss (−3.01 dB), high contrast ratio (14.13 dB) and high extension ratio (10.93 dB) of this device. This design will be useful in future all-optical computing.

Exact bounds to one-dimensional potential scattering amplitudes through the classical theory of moments

1988 ◽  
Vol 38 (1) ◽  
pp. 490-493 ◽  
Author(s):  
Carlos R. Handy ◽  
Lishi Luo ◽  
Giorgio Mantica ◽  
Alfred Z. Msezane
Keyword(s):  
Scattering Amplitudes ◽  
Classical Theory ◽  
Potential Scattering ◽  
One Dimensional ◽  
Exact Bounds

scholarly journals Analysis of psychometrical properties of the scale of social anxiety of the neurotic disturbances questionnaire

2019 ◽  
pp. 70-76 ◽  
Author(s):  
L. I. Tsidik
Keyword(s):  
Social Anxiety ◽  
Psychometric Properties ◽  
Statistical Method ◽  
Classical Theory ◽  
Reliability Index ◽  
Measuring Instruments ◽  
One Dimensional ◽  
Neurotic Disorders ◽  
Balanced Metric ◽  
Validity Measures

Psychodiagnostic measuring instruments created within the framework of the classical theory of tests are distinguished by the instability of all psychometric parameters. Therefore, there arose the need to use modern scientifically grounded approaches for designing techniques that lack these shortcomings. The purpose of the study: to carry out an analysis of the psychometric properties of the scale of social anxiety of the questionnaire of neurotic disorders. A total of 296 people were tested. The main statistical method of work is the metric Rush system. Results: the approval of the scale of social anxiety possess an adequate constructual validity, measures of difficulty points are in the range from -2 to +2 logits, the scale is one-dimensional, has a relatively balanced metric structure, the reliability index is 0.83, the scale is able to differentiate the three levels of expression of the construct.

Characteristic Forms of Differential Equations for Wave Propagation in Nonlinear Media

1981 ◽  
Vol 48 (4) ◽  
pp. 743-748 ◽  
Author(s):  
T. C. T. Ting
Keyword(s):  
Wave Propagation ◽  
Differential Equations ◽  
Constitutive Equations ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Compressible Fluids ◽  
Elastic Solids ◽  
Nonlinear Media ◽  
Nonlinear Materials ◽  
One Dimensional

Characteristic forms of differential equations for wave propagation in nonlinear media are derived directly from equations of motion and equations which combine the constitutive equations and the equations of continuity. Both Lagrangian coordinates and Eulerian coordinates are considered. The constitutive equations considered here apply to a large class of nonlinear materials. The characteristic forms derived here clearly show which components of the stress and velocity are involved in the differentiation along the bicharacteristics. Moreover, the reduction to one-dimensional cases from three-dimensional problems is obvious for the characteristic forms obtained here. Examples are given and compared with the known solution in the literature for wave propagation in linear isotropic elastic solids and isentropic compressible fluids.

Tunable and asymmetric optical bistability of one-dimensional photonic crystals based on InSb and nonlinear materials

2020 ◽  
Vol 59 (31) ◽  
pp. 9799
Author(s):  
Yi Xu ◽  
Baofei Wan ◽  
Ziwei Zhou ◽  
Yu Ma ◽  
Haifeng Zhang ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Optical Bistability ◽  
Nonlinear Materials ◽  
One Dimensional

scholarly journals $${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$-graded mechanics: the classical theory

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
N. Aizawa ◽  
Z. Kuznetsova ◽  
F. Toppan
Keyword(s):  
Sigma Models ◽  
Classical Theory ◽  
Conformal Invariance ◽  
General Scheme ◽  
Auxiliary Field ◽  
Scale Invariant ◽  
One Dimensional

Abstract $${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$Z2×Z2-graded mechanics admits four types of particles: ordinary bosons, two classes of fermions (fermions belonging to different classes commute among each other) and exotic bosons. In this paper we construct the basic $${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$Z2×Z2-graded worldline multiplets (extending the cases of one-dimensional supersymmetry) and compute, based on a general scheme, their invariant classical actions and worldline sigma-models. The four basic multiplets contain two bosons and two fermions. They are (2, 2, 0), with two propagating bosons and two propagating fermions, $$(1,2,1)_{[00]}$$(1,2,1)[00] (the ordinary boson is propagating, while the exotic boson is an auxiliary field), $$(1,2,1)_{[11]}$$(1,2,1)[11] (the converse case, the exotic boson is propagating, while the ordinary boson is an auxiliary field) and, finally, (0, 2, 2) with two bosonic auxiliary fields. Classical actions invariant under the $${{\mathbb {Z}}}_2\times {\mathbb {Z}}_2$$Z2×Z2-graded superalgebra are constructed for both single multiplets and interacting multiplets. Furthermore, scale-invariant actions can possess a full $${{\mathbb {Z}}}_2\times {\mathbb {Z}}_2$$Z2×Z2-graded conformal invariance spanned by 10 generators and containing an sl(2) subalgebra.

scholarly journals Beyond the classical theory of heat conduction: a perspective view of future from entropy

2016 ◽  
Vol 472 (2194) ◽  
pp. 20160362 ◽  
Author(s):  
Xiaowei Tian ◽  
Xiang Lai ◽  
Pingan Zhu ◽  
Liqiu Wang
Keyword(s):  
Heat Conduction ◽  
Entropy Generation ◽  
Classical Theory ◽  
Second Law Of Thermodynamics ◽  
Second Law ◽  
Perspective View ◽  
One Dimensional ◽  
First Law Of Thermodynamics ◽  
Concise Review ◽  
The Future

Energy is conserved by the first law of thermodynamics; its quality degrades constantly due to entropy generation, by the second law of thermodynamics. It is thus important to examine the entropy generation regarding the way to reduce its magnitude and the limit of entropy generation as time tends to infinity regarding whether it is bounded or not. This work initiates such an analysis with one-dimensional heat conduction. The work not only offers some fundamental insights of universe and its future, but also builds up the relation between the second law of thermodynamics and mathematical inequalities via developing the latter of either new or classical nature. A concise review of entropy is also included for the interest of performing the analysis in this work and the similar analysis for other processes in the future.

An Explicit, Non-Iterative, Single Equation Formulation for an Accurate One Dimensional Estimation of Vaneless Radial Diffusers in Turbomachines

2014 ◽  
Vol 31 (2) ◽  
pp. 113-122
Author(s):  
R. Amirante ◽  
F. De Bellis ◽  
E. Distaso ◽  
P. Tamburrano
Keyword(s):  
Angular Momentum ◽  
Classical Theory ◽  
Conservation Law ◽  
Fluid Dynamic ◽  
Tangential Velocity ◽  
Pressure Recovery ◽  
Preliminary Design ◽  
Centrifugal Compressors ◽  
One Dimensional ◽  
Vaneless Diffusers

AbstractThe present paper proposes a very simple one dimensional (1-D) model that accounts for the energy loss caused by the fluid dynamic losses occurring in the vaneless diffusers of centrifugal compressors and pumps. Usually, the present techniques to design turbomachines (pumps, compressors and turbines) emphasize numerical methods and their use is relatively complex because several parameters need to be chosen and a lot of time is required to perform the calculation. For this reason, it is relevant to perform an accurate preliminary design to simplify the numerical computation phase and to choose a very good initial geometry to be used for accelerating and improving the search for the definitive geometry. However, today 1-D modeling is based on the classical theory that assumes that the angular momentum is conserved inside a vaneless diffuser, although the flow evolution is considered as non-isentropic. This means that fluid-dynamic losses are taken into account only for what concerns pressure recovery, whereas the evaluation of the outlet tangential velocity incoherently follows an ideal behavior. Starting from such considerations, a new conservation law for the angular momentum is analytically derived, which incorporates the same fluid-dynamic losses modeled by the thermodynamic transformation law that is employed for correlating pressure recovery with enthalpy increase. Similar arguments hold for incompressible flows. Detailed and very accurate three-dimensional flow simulations are employed to analyze if the new model is capable of predicting the outlet tangential velocity more accurately than the classical theory. Results provided for both compressible (centrifugal compressors) and incompressible (centrifugal pumps) flows and for different inlet velocity profiles show a significant accuracy improvement of the new conservation law in the prediction of the outlet flow conditions when compared with the classical theory, thus demonstrating that the proposed model can be employed in the preliminary design of vaneless diffusers (i.e., in the estimation of the outlet diameter) more effectively than the classical ideal theory. Furthermore, the model is validated against industrial experimental campaigns. Even further experimental data, reported in a previous paper by the same authors, confirm the reliability of the employed approach.

The influence of the gas phase on liquid imbibition in capillary tubes

2011 ◽  
Vol 678 ◽  
pp. 600-606 ◽  
Author(s):  
MARCUS HULTMARK ◽  
JEFFREY M. ARISTOFF ◽  
HOWARD A. STONE
Keyword(s):  
Analytical Solution ◽  
Gas Phase ◽  
Excellent Agreement ◽  
Classical Theory ◽  
Capillary Tube ◽  
Viscous Resistance ◽  
Systematic Deviation ◽  
One Dimensional ◽  
Explicit Analytical Solution ◽  
Moving Front

The imbibition of liquid into a capillary tube is studied both theoretically and experimentally for sufficiently long tubes where viscous resistance from the gas phase ahead of the moving front is significant. At early times, and as the length of the tube is increased, we observe a systematic deviation from classical theory that cannot be attributed to the inertia of the liquid nor entrance effects. Instead, this behaviour is rationalized by considering the viscous resistance from the gas as it is displaced by the liquid. An explicit analytical solution for a one-dimensional description of the flow is given that accounts for viscous resistance from the displaced fluid. Excellent agreement between experiment and theory is obtained.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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