Active control of vibrations using generalised PI control: An application to a non-linear mechanical system

2003 ◽  
Author(s):  
R. Marquez ◽  
M. Rios-Bolivar
Keyword(s):  
Mechanical System ◽  
Active Control ◽  
Pi Control ◽  
Non Linear ◽  
Linear Mechanical System

Targeted energy transfer in a 2-DOF mechanical system coupled to a non-linear energy sink with varying stiffness

2015 ◽  
Vol 23 (16) ◽  
pp. 2567-2577 ◽  
Author(s):  
Claude-Henri Lamarque ◽  
F Thouverez ◽  
B Rozier ◽  
Z Dimitrijevic
Keyword(s):  
Energy Transfer ◽  
Mechanical System ◽  
Degrees Of Freedom ◽  
Dynamical Behavior ◽  
Practical Investigations ◽  
Targeted Energy Transfer ◽  
Constant Stiffness ◽  
Non Linear ◽  
Energy Sink ◽  
Linear Mechanical System

The dynamical behavior of a non-linear mechanical system with two degrees of freedom (DOFs) during free and forced excitations is studied analytically and numerically. The non-linearity of the system is represented intentionally by a smooth non-linear simple function with periodically varying stiffness around a constant value for the sake of practical investigations. Analysis of the system leads to a method that could be used to design the non-linear energy sink (NES) so that the behavior of the system during relaxation and its strongly modulated response (SMR) could be improved versus the constant stiffness configuration.

DYNAMICAL BEHAVIOUR OF THE PLANAR NON-LINEAR MECHANICAL SYSTEM — PART II: EXPERIMENT

1999 ◽  
Vol 226 (5) ◽  
pp. 941-953 ◽  
Author(s):  
M. BOLTEŽAR ◽  
N. JAKŠIĆ ◽  
I. SIMONOVSKI ◽  
A. KUHELJ
Keyword(s):  
Mechanical System ◽  
Dynamical Behaviour ◽  
Non Linear ◽  
System Part ◽  
Linear Mechanical System

Neural model of the dynamic behaviour of a non-linear mechanical system

2009 ◽  
Vol 23 (4) ◽  
pp. 1145-1159 ◽  
Author(s):  
Vicky Rouss ◽  
Willy Charon ◽  
Giansalvo Cirrincione
Keyword(s):  
Mechanical System ◽  
Dynamic Behaviour ◽  
Neural Model ◽  
Non Linear ◽  
Linear Mechanical System

PI Control of HSFDs for Active Control of Rotor-Bearing Systems

1997 ◽  
Vol 119 (3) ◽  
pp. 658-667 ◽  
Author(s):  
J. P. Hathout ◽  
A. El-Shafei
Keyword(s):  
Vibration Control ◽  
Active Control ◽  
Closed Loop ◽  
Rotating Machinery ◽  
Loop System ◽  
Pi Control ◽  
Closed Loop System ◽  
Transient Vibration ◽  
Critical Speeds ◽  
Rotor Bearing

This paper describes the proportional integral (PI) control of hybrid squeeze film dampers (HSFDS) for active control of rotor vibrations. Recently it was shown that the automatically controlled HSFD based on feedback of rotor speed can be a very efficient device for active control of rotor vibration when passing through critical speeds. Although considerable effort has been put into the study of steady-state vibration control, there are few methods in the literature applicable to transient vibration control of rotor-bearing systems. Rotating machinery may experience dangerously high dynamic loading due to the sudden mass unbalance that could be associated with blade loss. Transient run-up and coast down through critical speeds when starting up or shutting down rotating machinery induces excessive bearing loads at criticals. In this paper, PI control is proposed as a regulator for the HSFD system to attenuate transient vibration for both sudden unbalance and transient runup through critical speeds. A complete mathematical model of this closed-loop system is simulated on a digital computer. Results show an overall enhanced behavior for the closed-loop rotor system. Gain scheduling of both the integral gain and the reference input is incorporated into the closed-loop system with the PI regulator and results in an enhanced behavior of the controlled system.

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