Substructuring Dynamic Modeling and Active Vibration Control of a Smart Parallel Platform

2004 ◽  
Author(s):  
Xiaoyun Wang ◽  
James K. Mills
Keyword(s):  
Vibration Control ◽  
Dynamic Model ◽  
Motion Control ◽  
Dynamic Models ◽  
Active Vibration Control ◽  
System Dynamic ◽  
Control Law ◽  
Active Vibration ◽  
Parallel Platform ◽  
Simulation Results

A substructuring approach to derive dynamic models for closed-loop mechanisms is applied to model a flexible-link planar parallel platform with Lead Zirconate Titanate (PZT) transducers. The Lagrangian Finite Element (FE) formulation is used to model flexible linkages, in which translational and rotary degrees of freedom exist. Craig-Bampton mode sets are extracted from these FE models and then used to assemble the dynamic model of the planar parallel platform through the application of Lagrange’s equation and the Lagrange multiplier method. Electromechanical coupling models of surface-bonded PZT transducers with the host flexible linkages are introduced to the reduced order dynamic models of flexible linkages. The assembled system dynamic model with moderate model order can represent essential system dynamic behavior and maintain kinematic relationships of the planar parallel platform. A Proportional, Integral, and Derivative (PID) control law is used as the motion control law. Strain rate feedback (SRF) active vibration control is selected as the vibration control law. Motion control simulation results with active vibration control and simulation results without active vibration control are compared. The comparison shows the effectiveness of active vibration control.

scholarly journals MIMO Active Vibration Control of Magnetically Suspended Flywheels for Satellite IPAC Service

2008 ◽  
Vol 130 (4) ◽  
Author(s):  
Junyoung Park ◽  
Alan Palazzolo ◽  
Raymond Beach
Keyword(s):  
Vibration Control ◽  
Attitude Control ◽  
High Frequency ◽  
Active Vibration Control ◽  
Control Algorithms ◽  
Control Law ◽  
Frequency Noise ◽  
Active Vibration ◽  
Simulation Results ◽  
And Control

Theory and simulation results have demonstrated that four, variable speed flywheels could potentially provide the energy storage and attitude control functions of existing batteries and control moment gyros on a satellite. Past modeling and control algorithms were based on the assumption of rigidity in the flywheel’s bearings and the satellite structure. This paper provides simulation results and theory, which eliminates this assumption utilizing control algorithms for active vibration control (AVC), flywheel shaft levitation, and integrated power transfer and attitude control (IPAC), that are effective even with low stiffness active magnetic bearings (AMBs) and flexible satellite appendages. The flywheel AVC and levitation tasks are provided by a multiple input–multiple output control law that enhances stability by reducing the dependence of the forward and backward gyroscopic poles with changes in flywheel speed. The control law is shown to be effective even for (1) large polar to transverse inertia ratios, which increases the stored energy density while causing the poles to become more speed dependent, and for (2) low bandwidth controllers shaped to suppress high frequency noise. Passive vibration dampers are designed to reduce the vibrations of flexible appendages of the satellite. Notch, low-pass, and bandpass filters are implemented in the AMB system to reduce and cancel high frequency, dynamic bearing forces and motor torques due to flywheel mass imbalance. Successful IPAC simulation results are presented with a 12% initial attitude error, large polar to transverse inertia ratio (IP∕IT), structural flexibility, and unbalance mass disturbance.

scholarly journals Experimental Active Vibration Control in Truss Structures Considering Uncertainties in System Parameters

2008 ◽  
Vol 2008 ◽  
pp. 1-14 ◽  
Author(s):  
Douglas Domingues Bueno ◽  
Clayton Rodrigo Marqui ◽  
Rodrigo Borges Santos ◽  
Camilo Mesquita Neto ◽  
Vicente Lopes
Keyword(s):  
Vibration Control ◽  
Dynamic Model ◽  
Electromechanical Coupling ◽  
Active Vibration Control ◽  
Experimental Methodology ◽  
Truss Structures ◽  
Linear Matrix ◽  
System Parameters ◽  
Identification Method ◽  
Active Vibration

This paper deals with the study of algorithms for robust active vibration control in flexible structures considering uncertainties in system parameters. It became an area of enormous interest, mainly due to the countless demands of optimal performance in mechanical systems as aircraft, aerospace, and automotive structures. An important and difficult problem for designing active vibration control is to get a representative dynamic model. Generally, this model can be obtained using finite element method (FEM) or an identification method using experimental data. Actuators and sensors may affect the dynamics properties of the structure, for instance, electromechanical coupling of piezoelectric material must be considered in FEM formulation for flexible and lightly damping structure. The nonlinearities and uncertainties involved in these structures make it a difficult task, mainly for complex structures as spatial truss structures. On the other hand, by using an identification method, it is possible to obtain the dynamic model represented through a state space realization considering this coupling. This paper proposes an experimental methodology for vibration control in a 3D truss structure using PZT wafer stacks and a robust control algorithm solved by linear matrix inequalities.

Active Vibration Control for Lathe Based Neural Network

2011 ◽  
Vol 84-85 ◽  
pp. 183-187 ◽  
Author(s):  
Jin Hua Wang ◽  
Wen Juan Huang ◽  
Hong Yan Zhang ◽  
Yao Gang Li
Keyword(s):  
Neural Network ◽  
Control System ◽  
Vibration Control ◽  
Active Vibration Control ◽  
System Model ◽  
Matlab Simulation ◽  
Model Based ◽  
Active Vibration ◽  
Simulation Results ◽  
Control System Model

In this paper, we took lathe as the research object, and established an active vibration control system model based on neural network AVC (Active Vibration Control) system, and the Matlab simulation results showed that the AVC system can reduce vibration effectively and improve the lathe’s accuracy.

Design of Smart Metal-Ceramic Composite Actuators for Macro-Motion Applications

1993 ◽  
Author(s):  
Sridhar R. Thirupathi ◽  
Nagi G. Naganathan
Keyword(s):  
Vibration Control ◽  
Motion Control ◽  
Ceramic Composite ◽  
Active Vibration Control ◽  
Smart Structure ◽  
Element Analysis ◽  
Control Applications ◽  
Elastic Composite ◽  
Metal Ceramic ◽  
Active Vibration

Abstract Piezoceramic, electrostrictive, and magnetostrictive materials are being increasingly applied in active vibration control and are being investigated for other motion control and damage mitigation applications. Typically, motion ranges required in active vibration control are of the order of a few microns. On the other hand, many mechanical and electromechanical motion control applications require the point of application of the load to move through at least a few millimeters. In this research, a smart ceramic-elastic composite actuator is invented for such motion control applications. The work presented in this paper includes the concept, its illustration, development of a design geometry based on this concept, and its finite element analysis and results. It will be shown that by a proper synthesis of smart structure, a class of such actuators can be successfully designed and realized in practice.

Active Vibration Control of the Axially Moving String by Wave Cancellation

1993 ◽  
Author(s):  
C. H. Chung ◽  
C. A. Tan
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Closed Form Expression ◽  
Control Law ◽  
Closed Loop System ◽  
Controlled System ◽  
Axially Moving String ◽  
Active Vibration ◽  
Axially Moving ◽  
Actuation Devices

Abstract Active vibration control of an axially moving string by wave cancellation is presented. The control problem is formulated in the frequency domain. An exact, closed-form expression for the transfer function of the closed-loop system, consisting of the flexible structure, a feedback control law and the dynamics of the sensing and actuation devices, is derived. It is shown that all vibration modes can be stabilized and that the controlled system has no resonance. Moreover, the designed controller is applicable to the control of the string transverse vibration under various kinds of loading and constraint conditions. Results for the response of the controlled string under different excitations are presented and discussed along with the wave propagation and cancellation characteristics.

Vibration Control of a Beam Using the Nearly Optimal Control Algorithm with a Disturbance Force Observer

2001 ◽  
Vol 17 (4) ◽  
pp. 173-177
Author(s):  
Der-An Wang ◽  
Yii-Mai Huang
Keyword(s):  
Optimal Control ◽  
Feedback Control ◽  
Vibration Control ◽  
Feedforward Control ◽  
Active Vibration Control ◽  
Asymptotic Properties ◽  
Control Law ◽  
Flexible Beam ◽  
Active Vibration ◽  
Modal Space

ABSTRACTActive vibration control of a flexible beam subjected to arbitrary, unmeasurable disturbance forces is investigated in this paper. The concept of independent modal space control is adopted. Both the feedforward and feedback control is implemented here to reduce the beam vibration. Because of the existence of the disturbance forces, the feedforward control is applied by employing the idea of force cancellation. A modal space disturbance force observer is then established in this paper to observe the disturbance modal forces for the feedforward control. For obtaining the feedforward and feedback control gains with the optimal sense, the nearly optimal control law is derived, where the modal disturbance forces are regarded as additional states. The vibration control performances and the asymptotic properties of the control law are discussed.

Analysis and implementation of MIMO FULMS algorithm for active vibration control

2011 ◽  
Vol 34 (7) ◽  
pp. 815-828 ◽  
Author(s):  
Xiaojin Zhu ◽  
Zhiyuan Gao ◽  
Quanzhen Huang ◽  
Shouwei Gao ◽  
Enyu Jiang
Keyword(s):  
Vibration Control ◽  
Lead Zirconate Titanate ◽  
Vibration Suppression ◽  
Active Vibration Control ◽  
Reference Signal ◽  
Optimal Placement ◽  
Mean Square ◽  
Least Mean Square ◽  
Active Vibration ◽  
Simulation Results

This correspondence focuses on the analysis and implementation of multi-input multi-output (MIMO) filtered-u least mean square (FULMS) algorithm for active vibration suppression of a cantilever smart beam with surface bonded lead zirconate titanate patches. By analysing a single-input single-output FULMS algorithm, the MIMO FULMS controller structure is given. Then an active vibration control experimental platform is established, with optimal placement of the actuators and sensors based on the maximal modal force rule. Simulation contrast analysis of FULMS algorithm and the most famous filtered-x least mean square (FXLMS) algorithm is performed while the reference signal is extracted from the exciter as well as directly from the controlled structure. Simulation results show that if the feedback information reflects the reference signal collected by the reference transducers, the FXLMS controller could hardly suppress the vibration while the FULMS controller is still effective. Then the actual control experiment is performed, and the result confirms the simulation results. The designed MIMO FULMS vibration controller has a good control performance, suppressing the vibration significantly with rapid convergence.

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