On the stability parameters of circular graph C(2n,n)

Author(s):  
Jianxiang Cao ◽  
Weiguo Lin ◽  
Zhengtao Jiang
1978 ◽  
Vol 100 (1) ◽  
pp. 111-120 ◽  
Author(s):  
F. O. Carta ◽  
A. O. St. Hilaire

Tests were performed on a linear cascade of airfoils oscillating in pitch about their midchords at frequencies up to 17 cps, at free-stream velocities up to 200 ft/s, and at interblade phase angles of 0 deg and 45 deg, under conditions of high aerodynamic loading. The measured data included unsteady time histories from chordwise pressure transducers and from chordwise hot films. Unsteady normal force coefficient, moment coefficient, and aerodynamic work per cycle of oscillation were obtained from integrals of the pressure data, and indications of the nature and extent of the separation phenomenon were obtained from an analysis of the hot-film response data. The most significant finding of this investigation is that a change in interblade phase angle from 0 deg to 45 deg radically alters the character of the unsteady blade loading (which governs its motion in a free system) from stable to unstable. Furthermore, the stability or instability is governed primarily by the phase angle of the pressure distribution (relative to the blade motion) over the forward 10–15 percent of the blade chord. Reduced frequency and mean incidence angle changes were found to have a relatively minor effect on stability for the range of parameters tested.


2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Till D. Frank

As of December 2020, since the beginning of the year 2020, the COVID-19 pandemic has claimed worldwide more than 1 million lives and has changed human life in unprecedented ways. Despite the fact that the pandemic is far from over, several countries managed at least temporarily to make their first-wave COVID-19 epidemics to subside to relatively low levels. Combining an epidemiological compartment model and a stability analysis as used in nonlinear physics and synergetics, it is shown how the first-wave epidemics in the state of New York and nationwide in the USA developed through three stages during the first half of the year 2020. These three stages are the outbreak stage, the linear stage, and the subsiding stage. Evidence is given that the COVID-19 outbreaks in these two regions were due to instabilities of the COVID-19 free states of the corresponding infection dynamical systems. It is shown that from stage 1 to stage 3, these instabilities were removed, presumably due to intervention measures, in the sense that the COVID-19 free states were stabilized in the months of May and June in both regions. In this context, stability parameters and key directions are identified that characterize the infection dynamics in the outbreak and subsiding stages. Importantly, it is shown that the directions in combination with the sign-switching of the stability parameters can explain the observed rise and decay of the epidemics in the state of New York and the USA. The nonlinear physics perspective provides a framework to obtain insights into the nature of the COVID-19 dynamics during outbreak and subsiding stages and allows to discuss possible impacts of intervention measures. For example, the directions can be used to determine how different populations (e.g., exposed versus symptomatic individuals) vary in size relative to each other during the course of an epidemic. Moreover, the timeline of the computationally obtained stages can be compared with the history of the implementation of intervention measures to discuss the effectivity of such measures.


2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Afif Caesar Distara ◽  
Fatkhur Rohman

Electric vehicles are alternative vehicles that carry energy efficient. At this time the dominant vehicle uses ordinary wheels so that it will become an obstacle in the maneuver function that requires movement in various directions. With mechanum wheels the vehicle can move in various directions by adjusting the direction of rotation of each wheel. The problem is choosing the right control system for the control system needed by the vehicle. The purpose of this study is to determine and analyze the effect of variations in the value of PI (Proportional Integral) and speed of the vehicle to the stability response of the system to control the direction of prototype electric vehicles. This study method is an experiment that is by giving a treatment, then evaluating the effects caused by the research object. The results of this study can be concluded that the variation of PI constant values and speed variations have an effect on the stability parameters of the system, namely rise time, settling time, overshot, and steady state error. To get the best system stability response results can use the constant value PI Kp = 2; and Ki = 17; where the stability response of the system for direction control at each speed condition has a fairly good value with a fast rise time, fast settling time, small overshot and a small error steady state compared to other PI constant values in this study.Keywords: mechanum wheel, PI control, direction, prototype, system stability


2013 ◽  
Vol 20 (4) ◽  
pp. 319-330 ◽  
Author(s):  
Ali Sadollah ◽  
Azadeh Ghadimi ◽  
Ibrahim H. Metselaar ◽  
Ardeshir Bahreininejad

AbstractThe effect of various process parameters on the stability of TiO2 nanofluid, which can mostly be defined as zeta potential and particle size, was studied using response surface methodology (RSM) by the design of experiments and was predicted through a trained artificial neural network (ANN). The process parameters studied were weight percentage of surfactant (sodium lauryl sulfate) (0.01–0.2 wt%) and the value of pH (10–12). Central composite design and the RSM were employed to develop a mathematical model as well as to define the optimum condition. A three-layered feed-forward ANN model was designed and used for the prediction of the stability parameters. From the analysis of variance, the significant factors that affected the experimental design responses were also identified. The predicted stability parameters using the RSM and ANNs were compared using figures and tables. It is shown that the trained ANN outperformed the RSM in terms of accuracy and prediction of obtained results.


2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Dedi Ruswandi ◽  
Yuyun Yuwariah ◽  
Mira Ariyanti ◽  
Muh Syafii ◽  
Anne Nuraini

Multienvironment testing is an important phase to study the interaction of G × E and to select stable hybrids for a broad environment or for a specific environment. To study the interaction of G × E and the stability of earliness and yield of Indonesian new sweet corn hybrids under different locations and seasons in West Java, Indonesia, eighteen hybrids were evaluated in six environments in West Java, Indonesia, and were analysed using parametric and nonparametric stability models, additive main effects and multiplicative interaction (AMMI), and GGE biplots. Results showed that the most promising sweet corn hybrids including hybrids G5 (SR 24 x SR 17) and G11 (SR 31 x SR 17) were identified. The parametric and nonparametric stability parameters and ASV were complement to the AMMI and GGE biplots in selecting stable and adaptable hybrids in terms of earliness and yield. G5 was selected as a high-response hybrid for grain yield to Jatinangor (E1, E2), Lembang (E3, E4), and Wanayasa (E5, E6), as well as earliness to Jatinangor (E2), Lembang (E3, E4), and Wanayasa (E5, E6). G5 sweet corn hybrid, therefore, is suggested to be extensively evaluated on farm and produced for smallholder farmers in West Java, Indonesia.


2013 ◽  
Vol 332 ◽  
pp. 465-470
Author(s):  
Barbu Cristian Braun ◽  
Ileana Constanta Rosca ◽  
Mihaela Ioana Baritz

This paper presents a new method to evaluate the progressive plantar supporters on the stability for human subjects; the procedure could be applied as further researches for humanoid robots. The research subject is a male person, 25 years, 65 kg weight, tested on stability in orthostatic position, using a Kistler force plate, when the subject wears plantar supporters with progressive conformation. Stability parameters evolution were followed, in terms of body center of mass (COM) displacement in sagittal and lateral plane, for different phases of progressive plantar supporters while testing. It was found that for medium conformation of supports the subjects stability in bipedal position was the best. The next studies will be focused to establish if the results on plantar base body stability could be valid even for humanoid robots, which must assess different domestic or industrial activities.


2015 ◽  
Vol 411 ◽  
pp. 125-131 ◽  
Author(s):  
Maycon F. Pércio ◽  
Sílvia Denofre de Campos ◽  
Ricardo Schneider ◽  
Elvio Antonio de Campos

1979 ◽  
Vol 21 (3) ◽  
pp. 187-196 ◽  
Author(s):  
J. E. L. Simmons

The design of a flexibly mounted journal-bearing apparatus is described, and it is shown how the experimental results may be used to generate stability charts for design. For reasons of simplicity in demonstrating the basic principles, this work has been carried out using a plain circular air bearing. The underlying theory, however, is common to all journal-bearing systems, and it is intended to extend the experimental method to liquid-lubricated bearings and non-circular profiles. In addition to the stability data which have been obtained, the apparatus has enabled a detailed study of the phenomenon of whirl cessation.


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