Almost-sure stability of two-degree-of-freedom mechanical systems - Lyapunov exponent approach

1995 ◽  
Author(s):  
M Doyle
Keyword(s):  
Lyapunov Exponent ◽  
Mechanical Systems ◽  
Degree Of Freedom ◽  
Almost Sure Stability ◽  
Two Degree Of Freedom

Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems

1994 ◽  
Vol 61 (2) ◽  
pp. 446-452 ◽  
Author(s):  
N. Sri Namachchivaya ◽  
H. J. Van Roessel ◽  
S. Talwar
Keyword(s):  
Lyapunov Exponent ◽  
Stochastic Systems ◽  
Stochastic Averaging ◽  
Degree Of Freedom ◽  
Asymptotic Formulas ◽  
Perturbation Approach ◽  
Maximum Lyapunov Exponent ◽  
Almost Sure Stability ◽  
Asymptotic Growth Rate ◽  
Two Degree Of Freedom

In this paper, a perturbation approach is used to calculate the asymptotic growth rate of stochastically coupled two-degree-of-freedom systems. The noise is assumed to be white and of small intensity in order to calculate the explicit asymptotic formulas for the maximum Lyapunov exponent, The Lyapunov exponents and rotation number for each degree-of-freedom are obtained in the Appendix. The almost-sure stability or instability of the four-dimensional stochastic system depends on the sign of the maximum Lyapunov exponent. The results presented here match those presented by the first author and others using the method of stochastic averaging, where approximate Itoˆ equations in amplitudes and phase are obtained in the sense of weak convergence.

Technical Note: A two-degree-of-freedom ambulance stretcher suspension: Part 3: Laboratory and road test performance

1998 ◽  
Vol 212 (5) ◽  
pp. 401-407 ◽  
Author(s):  
R. J. Henderson ◽  
J. K. Raine
Keyword(s):  
Test Performance ◽  
Natural Frequencies ◽  
Low Cost ◽  
Mechanical Systems ◽  
Technical Note ◽  
Suspension System ◽  
Degree Of Freedom ◽  
Road Test ◽  
Pneumatic Suspension ◽  
Two Degree Of Freedom

Parts 1 and 2 of this paper gave a design overview and described the dynamics of a prototype two-degree-of-freedom pneumatic suspension for an ambulance stretcher. This concluding part briefly reviews laboratory shaker table and ambulance road test performance of the suspension with passive pneumatic damping. The suspension system is found to offer compact low-cost isolation with lower natural frequencies than achieved in earlier mechanical systems.

Limitations in the Modal Superposition for Two-Degree-of-Freedom Systems With Impact Non-Linearities

2001 ◽  
Author(s):  
C.-H. Lamarque ◽  
O. Janin
Keyword(s):  
Mechanical Systems ◽  
Rigid Bodies ◽  
Degree Of Freedom ◽  
Modal Superposition ◽  
Usual Procedure ◽  
Two Degree Of Freedom

Abstract The possibility of building a modal superposition formula for two-degree-of-freedom mechanical systems with impacts is investigated in this paper. This formula is obtained by following the usual procedure which consists in defining generalized frequencies, masses and modes. The example of two rigid bodies colliding underlines the efficiency, as well as the limitations, of the method.

Classification of two-degree-of-freedom underactuated mechanical systems

2015 ◽  
Vol 9 (10) ◽  
pp. 1501-1510 ◽  
Author(s):  
Divine Maalouf ◽  
Shunjie Li ◽  
Yannick Aoustin ◽  
Claude H. Moog
Keyword(s):  
Mechanical Systems ◽  
Degree Of Freedom ◽  
Underactuated Mechanical Systems ◽  
Two Degree Of Freedom
Sign in / Sign up

Export Citation Format

Share Document