Analytic continuation of periodic orbits from equilibria of two-degree-of-freedom systems in rotating coordinates

1990 ◽  
Vol 49 (2) ◽  
pp. 151-176 ◽  
Author(s):  
Michael E. Hough
Keyword(s):  
Analytic Continuation ◽  
Periodic Orbits ◽  
Degree Of Freedom ◽  
Rotating Coordinates ◽  
Two Degree Of Freedom

Analytical Stability Improvement of the Periodic Vibro-Impact Processes

1999 ◽  
Author(s):  
Jan Awrejcewicz ◽  
Krzysztof Tomczak
Keyword(s):  
Periodic Orbits ◽  
Periodic Motion ◽  
Feedback Loop ◽  
Degree Of Freedom ◽  
Loop Control ◽  
Analytical Stability ◽  
Impact Processes ◽  
Delay Loop ◽  
Sufficient Stability ◽  
Two Degree Of Freedom

Abstract In this paper an attention is focused on stabilisation improvement of periodic orbits of a one- and two-degree-of-freedom nonautonomous vibro-impact systems. This approach, among others, includes two problems. 1. A possibility of a sufficient stability improvement of the considered vibro-impact periodic motion using a feedback loop control is presented. 2. An original analytical averaging technique applied to a one-degree-of-freedom system is demonstrated. It enables to predict the efficient delay loop coefficients in order to achieve the desired stabilisation. In addition, an efficient delay loop control applied to two-degree-of-freedom system is proposed and illustrated.

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