Paradoxical simulation results of chaos-like chattering in the bouncing ball system

Paradoxical Chaos-Like Chattering in the Bouncing Ball System

Volume 8: 30th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2018-85202 ◽

2018 ◽

Author(s):

Kilian Schindler ◽

Remco I. Leine

Keyword(s):

Detailed Analysis ◽

Critical Value ◽

Forward Dynamics ◽

Bouncing Ball ◽

Relative Acceleration ◽

Self Similar ◽

Simulation Results

This paper reports and investigates paradoxical simulation results of the bouncing ball system. Chaos-like motion of the bouncing ball system with intermittent chattering (Zeno behaviour) is observed in simulations if the relative acceleration of the table exceeds a critical value. However, one can show that this is theoretically impossible. A detailed analysis is given by looking at the backward and forward dynamics of grazing solutions. It is shown in detail that a self-similar structure appears if the relative acceleration of the table exceeds the critical value.

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Periodicity and bifurcation of a bouncing ball system with rigidly connected harmonic limiters

Modern Physics Letters B ◽

10.1142/s0217984921500664 ◽

2020 ◽

pp. 2150066

Author(s):

Ruihai Li ◽

Ruiyang Qiu

Keyword(s):

Numerical Simulation ◽

Local Stability ◽

Relative Velocity ◽

Sufficient Conditions ◽

Restitution Coefficient ◽

Bifurcation Diagrams ◽

Bouncing Ball ◽

Periodic Movement ◽

Different Types ◽

Simulation Results

The bouncing ball system with two rigidly connected harmonic limiters is revisited in order to further analyze its periodic movement and bifurcation dynamics. By using the impulsive impact maps, we obtain several sufficient conditions for the existence and local stability of three different types of periodic orbits, respectively, and then plot the bifurcation diagrams in the space of the relative velocity and the restitution coefficient for different parameters of the limiter. The numerical simulation results are consistent with those of the theoretical analysis.

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Estimation of uncertainty in dynamic simulation results

Computers & Chemical Engineering ◽

10.1016/s0098-1354(97)00046-x ◽

1997 ◽

Vol 21 (1-2) ◽

pp. S181-S185 ◽

Cited By ~ 4

Author(s):

H Tørvi

Keyword(s):

Dynamic Simulation ◽

Simulation Results ◽

Estimation Of Uncertainty

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Losses of atrazine, metolachlor, prosulfuron and triasulfuron in subsurface drain water. II. Simulation results

Agronomie ◽

10.1051/agro:2002021 ◽

2002 ◽

Vol 22 (4) ◽

pp. 413-425 ◽

Cited By ~ 1

Author(s):

Matteo Balderacchi ◽

Ghasam Alavi ◽

Ettore Capri ◽

Alberto Vicari ◽

Cesare Accinelli ◽

...

Keyword(s):

Drain Water ◽

Simulation Results

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Study and design of dual stator permanent magnet machine with spoke-type configurations using phase-group concentrated-coil windings

International Journal of Applied Electromagnetics and Mechanics ◽

10.3233/jae-209457 ◽

2020 ◽

Vol 64 (1-4) ◽

pp. 1381-1389

Author(s):

Dezhi Chen ◽

Chengwu Diao ◽

Zhiyu Feng ◽

Shichong Zhang ◽

Wenliang Zhao

Keyword(s):

Permanent Magnet ◽

Permanent Magnets ◽

Low Cost ◽

Dynamic Performance ◽

Torque Ripple ◽

Permanent Magnet Machine ◽

Torque Density ◽

Phase Group ◽

High Torque ◽

Simulation Results

In this paper, a novel dual-stator permanent magnet machine (DsPmSynM) with low cost and high torque density is designed. The winding part of the DsPmSynM adopts phase-group concentrated-coil windings, and the permanent magnets are arranged by spoke-type. Firstly, the winding structure reduces the amount of copper at the end of the winding. Secondly, the electromagnetic torque ripple of DsPmSynM is suppressed by reducing the cogging torque. Furthermore, the dynamic performance of DsPmSynM is studied. Finally, the experimental results are compared with the simulation results.

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WS-Security on PRODML

ACMIT Proceedings ◽

10.33555/acmit.v1i1.16 ◽

2014 ◽

Vol 1 (1) ◽

pp. 9-34

Author(s):

Bobby Suryajaya

Keyword(s):

Web Services ◽

Digital Signature ◽

Data Transfer ◽

Web Services Security ◽

Soap Message ◽

Simulation Results ◽

End To End

SKK Migas plans to apply end-to-end security based on Web Services Security (WS-Security) for Sistem Operasi Terpadu (SOT). However, there are no prototype or simulation results that can support the plan that has already been communicated to many parties. This paper proposes an experiment that performs PRODML data transfer using WS-Security by altering the WSDL to include encryption and digital signature. The experiment utilizes SoapUI, and successfully loaded PRODML WSDL that had been altered with WSP-Policy based on X.509 to transfer a SOAP message.

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Dynamics of the macromolecular composition of the biomass of microalgae in the morning under natural light. Model

Hydrosphere Еcology (Экология гидросферы) ◽

10.33624/2587-9367-2020-1(5)-45-52 ◽

2020 ◽

pp. 45-52

Author(s):

Alexander S. Lelekov ◽

Anton V. Shiryaev

Keyword(s):

Biochemical Composition ◽

Initial Conditions ◽

Natural Light ◽

Photoautotrophic Growth ◽

Structural Part ◽

Basic Model ◽

Microalgae Culture ◽

Simulation Results ◽

Structural Parts ◽

Macromolecular Composition

The work is devoted to modeling the growth of optically dense microalgae cultures in natural light. The basic model is based on the idea of the two-stage photoautotrophic growth of microalgae. It is shown that the increase in the intensity of sunlight in the first half of the day can be described by a linear equation. Analytical equations for the growth of biomass of microalgae and its macromolecular components are obtained. As the initial conditions, it is assumed that at the time of sunrise, the concentration of reserve biomass compounds is zero. The simulation results show that after sunrise, the growth of the microalgae culture is due only to an increase in the reserve part of the biomass, while the structural part practically does not change over six hours. Changes in the ratio of the reserve and structural parts of the biomass indicate a change in the biochemical composition of cells.

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