Paper Titles
Preface
Chaotic Zones in Triple Pendulum Dynamics Observed Experimentally and Numerically
p.1
Geometric Instability vs. Lyapunov's Exponents of a Double Physical Pendulum
p.19
Dynamics of Continuous Systems Subjected to Traveling Loads
p.31
Interface Conditions and Loss of Stability for Stepped Columns
p.41
Decomposition of Symptom Observation Matrix and its Optimization in Vibration Condition Monitoring of Machines
p.51
Application of Computer Simulation Methods for Running Safety Assessment of Railway Vehicles in Example of Freight Cars
p.61
Mechanics of Track Structure with Y-Shaped Steel Sleepers in Sharp Curves
p.71
Wave Propagation Modelling in Composite Plates
p.89

Chaotic Zones in Triple Pendulum Dynamics Observed Experimentally and Numerically

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Abstract:

The experimental rig of the triple physical pendulum with the first body periodically forced is built. A mathematical model of the real pendulum is created. Friction in joints is modeled as a composition of dry friction and damping. The parameters of the model are estimated matching the output signals from model and experiment. For the minimum searching of the matching function the simplex method is used. Very good agreement between model and real system is obtained. Few chaotic zones are detected numerically and confirmed experimentally.

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Periodical:

Applied Mechanics and Materials (Volume 9)

Pages:

1-17

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.9.1

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Online since:

October 2007

Authors:

Jan Awrejcewicz, Grzegorz Kudra, Grzegorz Wasilewski

Keywords:

Chaotic Dynamics, Experiment, Mathematical Modeling, Parameter Estimation, Triple Pendulum

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© 2008 Trans Tech Publications Ltd. All Rights Reserved

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References

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