DYNAMIC STABILITY ANALYSIS AND VIBRATION CONTROL OF A ROTATING ELASTIC BEAM CONNECTED WITH AN END MASS

2013 ◽  
Vol 13 (03) ◽  
pp. 1250066 ◽  
Author(s):  
CHUNG-FENG JEFFREY KUO ◽  
HUNG MIN TU ◽  
VU QUANG HUY ◽  
CHIEN-HUI LIU
Keyword(s):  
Stability Analysis ◽  
Vibration Control ◽  
Dynamic Stability ◽  
Controller Design ◽  
System Modeling ◽  
Elastic Beam ◽  
Vibration Modes ◽  
Lagrange’S Equation ◽  
Control Scheme ◽  
Linear And Nonlinear Systems

In this paper, dynamic stability analysis and vibration control for a rotating elastic beam connected with an end mass driven by a direct current (DC) motor is considered. A complete strategy including mathematical modeling, dynamic analysis, vibration controller design and simulation for linear and nonlinear systems are presented. Once the rotating flexible physical system has been described by a set of governing partial differential equations, they are manipulated to achieve an appropriate mathematical format for vibration control system design and computer simulation, respectively. Hamilton principle, Lagrange's equation, assumed-modes and the fourth-order Runge–Kutta methods are applied in the system modeling derivation, descretization, and numerical analysis. The correctness of the numerical results and the characteristic property between mathematics and dynamics are demonstrated as well. Also, a realizable vibration control scheme is developed which not only can stabilize all the vibration modes but also make this rotating elastic beam system efficient for good transient response.

scholarly journals Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Zhuoshi Li ◽  
Ming Liu ◽  
Hamid Reza Karimi ◽  
Xibin Cao
Keyword(s):  
Stability Analysis ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Sampled Data ◽  
Closed Loop System ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Data Control ◽  
Control Scheme ◽  
The Stability

This paper investigates the sampled-data stabilization problem of spacecraft relative positional holding with improved Lyapunov function approach. The classical Clohessy-Wiltshire equation is adopted to describe the relative dynamic model. The relative position holding problem is converted into an output tracking control problem using sampling signals. A time-dependent discontinuous Lyapunov functionals approach is developed, which will lead to essentially less conservative results for the stability analysis and controller design of the corresponding closed-loop system. Sufficient conditions for the exponential stability analysis and the existence of the proposed controller are provided, respectively. Finally, a simulation result is established to illustrate the effectiveness of the proposed control scheme.

Vibration Control Method and Adaptability for Flexible Structures With Distributed Parameters Using a Hybrid Dynamic Absorber

1995 ◽  
Author(s):  
Kazuto Seto ◽  
Susumu Kondo ◽  
Katsuhiko Ezure
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Controller Design ◽  
Flexible Structures ◽  
Vibration Modes ◽  
Order Model ◽  
Reduced Order ◽  
Distributed Parameters ◽  
Dynamic Absorber ◽  
Lq Control

Abstract This paper examines the vibration control of a flexible structure using a hybrid dynamic absorber. A new method for modeling flexible structures with distributed parameters using a reduced-order model with lumped parameters is specified. Both prevention of spillover and physical correspondence at the modeling points are taken into consideration. Due to restrictions of controller design it is necessary to employ reduced-order models of flexible structures when using LQ control theory to control vibration. By ignoring higher mode orders model reduction may invite vibration instability called spillover. In order to prevent spillover nodes of higher-order vibration modes are selected as modeling points. The effectiveness of this method is demonstrated by applying vibration control to a flexible tower-like structure. In addition the robustness of the control system is tested by placing the sensors and absorbers at points different from those selected by the model.

A Study of Active Rotor-Blade Vibration Control Using Electro-Magnetic Actuation: Part 2 — Experiments

2004 ◽  
Author(s):  
Rene´ H. Christensen ◽  
Ilmar F. Santos
Keyword(s):  
Vibration Control ◽  
Rotor Blade ◽  
Controller Design ◽  
Modal Control ◽  
Magnetic Actuation ◽  
Centralized Control ◽  
Blade Vibration ◽  
Control Scheme ◽  
Bladed Rotor ◽  
Electro Magnetic

This is the second paper in a two-part study on active rotor-blade vibration control using electro-magnetic actuation. This part is focused on experimental aspects of implementing active control into coupled rotor-blade systems. A test rig, equipped with electro-magnetic actuators and various sensors to monitor the system vibration levels, is specially designed. The aim of the rig is to demonstrate the feasibility of controlling rotor and blade vibrations using a modal control scheme capable to handle the time-periodicity of this kind of system. Two different active controlled rotor-blade systems are considered in the present study: (a) a tuned bladed rotor, controlled with help of actuators attached to the rotating blades; (b) a deliberately mistuned bladed rotor controlled only by shaft based actuation. Experimental tests are carried out for both systems. Some experimental problems regarding control implementation are identified and discussed especially when the controller order and the number of actuators in the centralized control scheme become too high. For the blade mistuned system, controlled by using only rotor/hub based actuation, the controller works well. Despite of implementation difficulties of the modal control scheme due to high sensitivity to model imperfections, it can be concluded that the periodic modal control methodology applied to controller design works well and can become a very useful and powerful tool for designing mechatronic machine elements.

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