A nonlinear dynamical system approach for the yielding behaviour of a viscoplastic material

Soft Matter ◽  
2017 ◽  
Vol 13 (10) ◽  
pp. 2024-2039 ◽  
Author(s):  
Teodor Burghelea ◽  
Miguel Moyers-Gonzalez ◽  
Raazesh Sainudiin
2009 ◽  
Vol 105 (7) ◽  
pp. 07B712 ◽  
Author(s):  
G. Bertotti ◽  
I. D. Mayergoyz ◽  
C. Serpico ◽  
M. d’Aquino ◽  
R. Bonin

2014 ◽  
Vol 620 ◽  
pp. 39-43
Author(s):  
Tao Zhang ◽  
Xiao Jun Zhu ◽  
Fei Peng ◽  
Shao Song Min

The properties of non-equilibrium turbulent boundary layers are substantially more complicated than that of equilibrium ones, and current understanding and predictive capabilities of the former are less well developed than of the latter. This paper proposed a nonlinear dynamical system approach to predict streamwise development of non-equilibrium turbulent boundary layers by means of realizing the closure of the momentum integral equation with aid of the modified log-wake law and the entrainment equation. The example calculation showed the results were in reasonable agreement with the experiment data, and demonstrated the proposed method could predict the streamwise evolution of the layers accurately and simply. Moreover, the method would be conveniently extended to the flows over rough surfaces.


2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.


2021 ◽  
Vol 139 ◽  
pp. 33-44
Author(s):  
Yasaman Esfandiari ◽  
Aditya Balu ◽  
Keivan Ebrahimi ◽  
Umesh Vaidya ◽  
Nicola Elia ◽  
...  

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