scholarly journals Displacement transmissibility of a Coulomb friction oscillator subject to joined base-wall motion

2019 ◽  
Vol 98 (4) ◽  
pp. 2595-2612 ◽  
Author(s):  
Luca Marino ◽  
Alice Cicirello ◽  
David A. Hills
Keyword(s):  
Coulomb Friction ◽  
Wall Motion ◽  
Friction Oscillator

An Invariance Principle for Discontinuous Dynamic Systems With Application to a Coulomb Friction Oscillator

2000 ◽  
Vol 122 (4) ◽  
pp. 687-690 ◽  
Author(s):  
Joaquin Alvarez ◽  
Iouri Orlov ◽  
Leonardo Acho
Keyword(s):  
Asymptotic Stability ◽  
Invariance Principle ◽  
Dynamic Systems ◽  
Coulomb Friction ◽  
Dynamic Feedback ◽  
Finite Time Convergence ◽  
Static Feedback ◽  
Friction Oscillator ◽  
Mechanical Oscillators ◽  
Theoretical Results

An invariance principle for a class of ordinary differential equations with discontinuous right-hand side is developed. Based on this principle, asymptotic stability of one-degree-of-freedom mechanical oscillators with Coulomb friction is studied. The system is shown to be asymptotically stabilizable via a static feedback of the position, unlike those systems with no friction, whose stabilization requires a dynamic feedback when the position is the only available measurement. Along with this development, a velocity observer is proposed. Theoretical results of the paper are supported by some numerical simulations which, in addition, carry out a finite-time convergence of the controller and the observer proposed. [S0022-0434(00)00804-2]

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