scholarly journals Analytical results in transient brush tyre models: theory for large camber angles and classic solutions with limited friction

Meccanica ◽  
2021 ◽  
Author(s):  
Luigi Romano ◽  
Francesco Timpone ◽  
Fredrik Bruzelius ◽  
Bengt Jacobson
Keyword(s):  
Rolling Direction ◽  
State Theory ◽  
General Situation ◽  
Linear Dynamical Systems ◽  
Transient Conditions ◽  
One Dimensional ◽  
Analytical Results ◽  
Classic Theory ◽  
Uniqueness Of The Solution ◽  
The One

AbstractThis paper establishes new analytical results in the mathematical theory of brush tyre models. In the first part, the exact problem which considers large camber angles is analysed from the perspective of linear dynamical systems. Under the assumption of vanishing sliding, the most salient properties of the model are discussed with some insights on concepts as existence and uniqueness of the solution. A comparison against the classic steady-state theory suggests that the latter represents a very good approximation even in case of large camber angles. Furthermore, in respect to the classic theory, the more general situation of limited friction is explored. It is demonstrated that, in transient conditions, exact sliding solutions can be determined for all the one-dimensional problems. For the case of pure lateral slip, the investigation is conducted under the assumption of a strictly concave pressure distribution in the rolling direction.

scholarly journals Analytical results of the one-dimensional Hubbard model in the high-temperature limit

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
I. C. Charret ◽  
E. V. Corrêa Silva ◽  
S. M. de Souza ◽  
O. Rojas Santos ◽  
M. T. Thomaz ◽  
...  
Keyword(s):  
High Temperature ◽  
Hubbard Model ◽  
Temperature Limit ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Analytical Results ◽  
The One

Air Temperature Distribution Inside of a Longitudinal Highway Tunnel: A Case Study

2012 ◽  
Vol 433-440 ◽  
pp. 6384-6389 ◽  
Author(s):  
Xing Han ◽  
Xu Zhang
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Air Temperature ◽  
State Theory ◽  
One Dimensional ◽  
Highway Tunnel ◽  
Temperature Enhancement ◽  
The One ◽  
General Method

With the development of tunneling technology and the increase of transportation, the mobiles are discharging more and more heat into the tunnel nowadays, which will cause the temperature enhancement. In this paper, general method of calculating the heat discharge is studied, and temperature distribution in the tunnels, which use different ventilation systems, is studied according to the one-dimensional steady state theory. One tunnel is taken for example to calculate the temperature distribution. The result can b e used in the relevant design and research.

THE SCALAR KELLER–SEGEL MODEL ON NETWORKS

2013 ◽  
Vol 24 (02) ◽  
pp. 221-247 ◽  
Author(s):  
R. BORSCHE ◽  
S. GÖTTLICH ◽  
A. KLAR ◽  
P. SCHILLEN
Keyword(s):  
Network Model ◽  
Existence And Uniqueness ◽  
Computational Studies ◽  
One Dimensional ◽  
First Order ◽  
General Network ◽  
Uniqueness Of The Solution ◽  
Order Scheme ◽  
Network Topologies ◽  
The One

In this work, we extend the one-dimensional Keller–Segel model for chemotaxis to general network topologies. We define appropriate coupling conditions ensuring the conservation of mass and show the existence and uniqueness of the solution. For our computational studies, we use a positive preserving first-order scheme satisfying a network CFL condition. Finally, we numerically validate the Keller–Segel network model and present results regarding special network geometries.

Junction Riemann problem for one-dimensional shallow water equations with bottom discontinuities and channels width variations

2018 ◽  
Vol 15 (02) ◽  
pp. 191-217 ◽  
Author(s):  
Mohamed Elshobaki ◽  
Alessandro Valiani ◽  
Valerio Caleffi
Keyword(s):  
Shallow Water ◽  
Riemann Problem ◽  
Shallow Water Equations ◽  
Symmetric Case ◽  
General Situation ◽  
Star Network ◽  
Numerical Examples ◽  
One Dimensional ◽  
Rectangular Channels ◽  
The One

We investigate the solution of the nonlinear junction Riemann problem for the one-dimensional shallow water equations (SWEs) in a simple star network made of three rectangular channels. We consider possible bottom discontinuities between the channels and possible differences in the channels width. In the literature, the solution of the Riemann problem at the junction is investigated for the symmetric case without bottom steps and channels width variations. Here, the solution is extended to a more general situation such that neither the equality of the channels width nor the symmetry of the flow are assumed in the downstream channels. The analysis is performed under sub-criticality conditions and the results are summarized in a main theorem, while a series of numerical examples are presented and support our conclusions.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj
Keyword(s):  
Energy Transfer ◽  
Effective Mass ◽  
Molecular Crystals ◽  
Single Chain ◽  
Proper Understanding ◽  
One Dimensional ◽  
Interchain Coupling ◽  
Large Polaron ◽  
The One

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

Sign in / Sign up

Export Citation Format

Share Document