Method of small parameter proportional to forces of friction in forced oscillations of complex rod system

1973 ◽  
Vol 9 (1) ◽  
pp. 81-85
Author(s):  
Yu. N. Sankin
Keyword(s):  
Small Parameter ◽  
Forced Oscillations ◽  
Rod System ◽  
Method Of Small Parameter

Pulsatile pipe flow pseudoplastic materials; The flow enhancement for Re ≪ 1

1983 ◽  
Vol 48 (6) ◽  
pp. 1579-1587 ◽  
Author(s):  
Ondřej Wein
Keyword(s):  
Small Parameter ◽  
Pipe Flow ◽  
Quantitative Estimation ◽  
Reynolds Numbers ◽  
Power Law Model ◽  
Viscosity Function ◽  
Small Reynolds Numbers ◽  
Title Problem ◽  
Flow Enhancement ◽  
Method Of Small Parameter

Solution of the title problem for the power-law model of viscosity function is constructed by the method of small parameter in the region of small Reynolds numbers. The main result of the paper is a quantitative estimation of the values of Re, when the influence of inertia on flow enhancement may be quite neglected.

Instant Chaos and Extreme Parametric Uncertainty in Nonlinearly Driven Continuum Mechanics

1999 ◽  
Author(s):  
Ira B. Schwartz ◽  
Yvette K. Wood ◽  
Ioannis T. Georgiou
Keyword(s):  
Small Parameter ◽  
Continuum Mechanics ◽  
Chaotic Attractor ◽  
Chaotic Dynamics ◽  
Parametric Uncertainty ◽  
High Dimensional ◽  
Periodic Attractor ◽  
Rod System ◽  
Extreme Sensitivity ◽  
Low Dimensional

Abstract Bifurcation to high-dimensional hyperchaos is observed in a driven coupled pendulum-flexible rod system. When the rod is in resonance with the pendulum, the system changes from a low dimensional periodic attractor to a high dimensional chaotic attractor abruptly. It is shown that high dimensional chaotic dynamics is hysteretic, and exhibits extreme sensitivity with respect to small parameter changes. Such sensitivity poses a problem in obstructing predictability in mechanics.

Instant Chaos, Extreme Parametric Uncertainty, and Sustained Chaotic Transients in Nonlinear Continuum Mechanics

2001 ◽  
Author(s):  
Ira B. Schwartz ◽  
Ioana Triandaf ◽  
Yvette Wood ◽  
Ioannis T. Georgiou
Keyword(s):  
Small Parameter ◽  
Continuum Mechanics ◽  
Chaotic Dynamics ◽  
Parametric Uncertainty ◽  
High Dimensional ◽  
Rod System ◽  
Extreme Sensitivity ◽  
Low Dimensional ◽  
Chaotic Transients ◽  
Nonlinear Continuum

Abstract Bifurcation to high-dimensional hyperchaos is observed in a driven coupled pendulum-flexible rod system. When the rod is in resonance with the pendulum, the system changes from a low dimensional attractor to a high dimensional attractor abruptly. It is shown that high dimensional chaotic dynamics is hysteretic, and exhibits extreme sensitivity with respect to small parameter changes. Such sensitivity poses a problem in obstructing predictability in mechanics. A brief discussion of sustaining chaos to prevent resonance is included.

Cubically anisotropic stress-strain states and finding them by the method of small parameter

2009 ◽  
Vol 82 (3) ◽  
pp. 584-587
Author(s):  
I. M. Martynenko ◽  
M. A. Zhuravkov ◽  
V. A. Kazakevich ◽  
O. N. Sklyar
Keyword(s):  
Small Parameter ◽  
Stress Strain ◽  
Anisotropic Stress ◽  
Method Of Small Parameter
Sign in / Sign up

Export Citation Format

Share Document