Static tire properties analysis and static parameters derivation to characterising tire model using experimental and numerical solutions

Tire-ground interaction plays substantial role in determining vehicle kinetics and kinematics yet a clear understanding of such an interaction outputs is complex process. The present study aims at static analysis of tire parameters using both experimental and numerical based finite element method (FEM) solutions. To this end, tire cross section shape with different inflation pressures, vertical stiffness together with the footprint were measured using controlled apparatus and then are compared with the simulation results in order that the accuracy of the FE tire model in static condition can be validated. The 3D tire model was obtained by revolving the 2D axisymmetric tire model, and static stiffness and footprint were predicted using the 3D model. Inflation pressure analysis was presented by comparing the tire cross-section shape variation at different inflation pressures. The conclusions will serve future investigations as a concise knowledge source to develop improved tire models

Rebels Lead to the Doctrine of the Mean: Opinion Dynamic in a Heterogeneous DeGroot Model

We study an extension of the DeGroot model where part of the players may be rebels. The updating rule for rebels is quite different with that of normal players (which are referred to as conformists): at each step a rebel first takes the opposite value of the weighted average of her neighbors' opinions, i.e. 1 minus that average (the opinion space is assumed to be [0,1] as usual), and then updates her opinion by taking another weighted average between that value and her own opinion in the last round. We find that the effect of rebels is rather significant: as long as there is at least one rebel in every closed and strongly connected group, under very weak conditions, the opinion of each player in the whole society will eventually tend to 0.5.Comment: 7 pages, Proceedings of The 6th International Conference on Knowledge, Information and Creativity Support Systems, Beijing, 201

Analytical results for a parity-time symmetric two-level system under synchronous combined modulations

We propose a simple method of combined synchronous modulations to generate the analytically exact solutions for a parity-time symmetric two-level system. Such exact solutions are expressible in terms of simple elementary functions and helpful for illuminating some generalizations of appealing concepts originating in the Hermitian system. Some intriguing physical phenomena, such as stabilization of a non-Hermitian system by periodic driving, non-Hermitian analogs of coherent destruction of tunneling (CDT) and complete population inversion (CPI), are demonstrated analytically and confirmed numerically. In addition, by using these exact solutions we derive a pulse area theorem for such non-Hermitian CPI in the parity-time symmetric two-level system. Our results may provide an additional possibility for pulse manipulation and coherent control of the parity-time symmetric two-level system.Comment: 7 pages, 4 figure