Recently, Atangana and Baleanu proposed a derivative with fractional order to answer some outstanding questions that were posed by many researchers within the field of fractional calculus. Their derivative has a non-singular and nonlocal kernel. In this paper, we presented further relationship of their derivatives with some integral transform operators. New results are presented. We applied this derivative to a simple nonlinear system. We show in detail the existence and uniqueness of the system solutions of the fractional system. We obtain a chaotic behavior which was not obtained by local derivative.

Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

https://www.cell.com/joule/pdf/S2542-4351(19)30585-9.pdf

Battery Lifetime Prognostics

To work towards an advanced model of the bicycle-rider-environment system, an open-loop bicycle-rider model was developed in the commercial multibody dynamics software ADAMS. The main contribution of this article to bicycle dynamics is the analysis of tyre and rider properties that influence bicycle stability. A system identification method is used to extract linear stability properties from time domain analysis. The weave and capsize eigenmodes of the bicycle-rider system are analysed. The effect of tyre properties is studied using the tyre’s forces and torques that have been measured in several operating conditions. The main result is that extending simplified models with a realistic tyre model leads to a notable decrease in the weave stability and a stabilization of the capsize mode. This effect is mainly caused by the twisting torque. Different tyres and tyre inflation pressures have little effect on the bicycle’s stability, in the case of riding straight at a constant forward speed. On the other hand, the tyre load does have a large effect on bicycle stability. The sensitivity study of rider properties shows that body stiffness and damping have a small effect on the weave and capsize mode, whereas arm stiffness destabilizes the capsize mode and arm damping destabilizes the weave mode.

/pdf/the-effect-of-tyre-and-rider-properties-on-the-stability-of-53bcdkpghv.pdf

The effect of tyre and rider properties on the stability of a bicycle

Investigation of rib's height effect on heat transfer and flow parameters of laminar water-Al2O3 nanofluid in a rib-microchannel

Investigation of turbulent heat transfer and nanofluid flow in a double pipe heat exchanger

Advanced simulation of the stability and handling properties of bicycles requires detailed road–tyre contact models. In order to develop these models, in this study, four bicycle tyres are tested by means of a rotating disc machine with the aim of measuring the components of tyre forces and torques that influence the safety and handling of bicycles. The effect of inflation pressure and tyre load is analysed. The measured properties of bicycle tyres are compared with those of motorcycle tyres

V.E. Bulsink

Papers

The effect of tyre and rider properties on the stability of a bicycle

Identification of the mechanical properties of bicycle tyres for modelling of bicycle dynamics

Can vertebral density changes be explained by intervertebral disc degeneration

Cycling strategies of young and older cyclists

The co-contraction index of the upper limb for young and old adult cyclists