Active Vibration Control for a Machine Tool With Parallel Kinematics and Adaptronic Actuator

2009 ◽  
Vol 4 (3) ◽  
Author(s):  
Alexandra Ast ◽  
Peter Eberhard
Keyword(s):  
Machine Tool ◽  
Vibration Control ◽  
Position Control ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Parallel Kinematics ◽  
Linear Quadratic ◽  
Control Approach ◽  
Authority Control ◽  
Active Vibration

The use of adaptronic components opens up interesting new possibilities for modern machine tools such as parallel kinematics. In this paper, two active vibration control concepts are designed for an adaptronic component of a parallel kinematic machine tool. The machine tool is modeled as a flexible multibody system model including a nonlinear flatness-based position control. Both the combination of a frequency shaped linear quadratic regulator with an active damping concept in a high authority control/low authority control approach and the H2 optimal control with gain scheduling show a high potential in the simulation to significantly increase the disturbance rejection or the tracking performance of the machine tool.

scholarly journals Active Vibration Control of the Sting Used in Wind Tunnel: Comparison of Three Control Algorithms

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Xing Shen ◽  
Yuke Dai ◽  
Mingxuan Chen ◽  
Lei Zhang ◽  
Li Yu
Keyword(s):  
Optimal Control ◽  
Wind Tunnel ◽  
Vibration Control ◽  
Control Algorithm ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Real Time Control ◽  
Linear Quadratic ◽  
Control Effort ◽  
Active Vibration

In wind tunnel tests, cantilever stings are often used as model-mount in order to reduce flow interference on experimental data. In this case, however, large-amplitude vibration and low-frequency vibration are easily produced on the system, which indicates the potential hazards of gaining inaccurate data and even damaging the structure. This paper details three algorithms, respectively, Classical PD Algorithm, Artificial Neural Network PID (NNPID), and Linear Quadratic Regulator (LQR) Optimal Control Algorithm, which can realize active vibration control of sting used in wind tunnel. The hardware platform of the first-order vibration damping system based on piezoelectric structure is set up and the real-time control software is designed to verify the feasibility and practicability of the algorithms. While the PD algorithm is the most common method in engineering, the results show that all the algorithms can achieve the purpose of over 80% reduction, and the last two algorithms perform even better. Besides, self-tuning is realized in NNPID, and with the help of the Observer/Kalman Filter Identification (OKID), LQR optimal control algorithm can make the control effort as small as possible. The paper proves the superiority of NNPID and LQR algorithms and can be an available reference for vibration control of wind tunnel system.

scholarly journals Active Vibration Control of a Helicopter Rotor Blade by Using a Linear Quadratic Regulator

2018 ◽  
Author(s):  
Md Mosleh Uddin ◽  
Pratik Sarker ◽  
Colin R. Theodore ◽  
Uttam K. Chakravarty
Keyword(s):  
Vibration Control ◽  
Rotor Blade ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Control Technique ◽  
Helicopter Rotor ◽  
Optimum Level ◽  
Linear Quadratic ◽  
Helicopter Rotor Blade ◽  
Active Vibration

Active vibration control is a widely implemented method for helicopter vibration control. Due to the significant progress in the microelectronics, this technique outperforms the traditional passive control technique due to the weight penalty and lack of adaptability for the changing flight conditions. In this paper, an optimal controller is designed to attenuate the helicopter rotor blade vibration. The mathematical model of the triply coupled vibration of the rotating cantilever beam is used to develop the state-space model of an isolated rotor blade. The required natural frequencies are determined by the modified Galerkin method and only the principal aerodynamic forces acting on the structure are considered. Linear quadratic regulator is designed to achieve the vibration reduction at the optimum level and the controller is tuned for the hovering and forward flight.

Semi Active Vibration Control of a Passenger Car Using Magnetorheological Shock Absorber

2010 ◽  
Author(s):  
Ali Fellah Jahromi ◽  
A. Zabihollah
Keyword(s):  
Vibration Control ◽  
Control Algorithm ◽  
Shock Absorber ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Suspension System ◽  
Linear Quadratic ◽  
Passenger Car ◽  
Road Profile ◽  
Active Vibration

A novel semi-active control system for suspension systems of passenger car using Magnetorheological (MR) damper is introduced. The suspension system is considered as a massspring model with an eight-degrees-of-freedom, a passive damper and an active damper. The semi-active vibration control is designed to reduce the amplitude of automotive vibration caused by the alteration of road profile. The control mechanism is designed based on the optimal control algorithm, Linear Quadratic Regulator (LQR). In this system, the damping coefficient of the shock absorber changes actively trough inducing magnetic field. It is observed that utilizing the present control algorithm may significantly reduce the vibration response of the passenger car, thus, providing comfortable drive. The new developed suspension system may lead to design and manufacturing of passenger car in which the passenger may not feel the changes in road profile from highly bumpy to smooth profile.

scholarly journals Deflection and Vibration Control of Laminated Plates Using Extension and Shear Actuated Fiber Composites

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
S. Raja ◽  
Tadashige Ikeda ◽  
D. Dwarakanathan
Keyword(s):  
Vibration Control ◽  
Numerical Study ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Laminated Plates ◽  
Piezoelectric Composite ◽  
Linear Quadratic ◽  
Plate Length ◽  
Isoparametric Finite Element ◽  
Active Vibration

The use of surface bonded and embedded piezoelectric composite actuators is examined through a numerical study. Modelling schemes are therefore developed by applying the isoparametric finite element approach to idealise extension-bending and shear-bending couplings due to piezoelectric actuations. A modal control based linear quadratic regulator is employed to perform the active vibration control studies. Influence of shear actuation direction and its width has been examined and interesting deflection patterns are noticed. The through width SAFC develops a constant deflection beyond its length along the laminated plate length. In contrast, segmented SAFC produces a moderate to linearly varying deflection pattern. MFC actuators have shown promising features in vibration control performances. Nevertheless, closed loop damping presents the efficiency of SAFC in the vibration control application. It is therefore envisaged that optimally actuated smart laminates can be designed using MFC and SAFC to efficiently counteract the disturbance forces.

Active Vibration Control of the Print Circuit Boards Using Piezoelectric Bimorphs

2007 ◽  
Vol 334-335 ◽  
pp. 1081-1084
Author(s):  
H.C. Yeo ◽  
N. Guo ◽  
H. Du ◽  
M. Chen
Keyword(s):  
Vibration Control ◽  
Vibration Suppression ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Circuit Boards ◽  
Linear Quadratic ◽  
Industrial Grade ◽  
Active Vibration ◽  
Bimorph Actuators ◽  
Piezoelectric Bimorphs

Piezoelectric bimorphs were assessed for their capabilities to be used as control actuators for vibration suppression of the print circuit boards (PCBs). Plate structures made of FR-4, a widely used industrial-grade material for manufacture of PCBs, were considered. An advanced and structured control algorithm, linear quadratic regulator with output feedback (LQROF), was used for active vibration control of the PCB structures. Experimental results showed that the LQROF control is a more robust algorithm than the classic control using the direct velocity feedback, and piezoelectric bimorph actuators present a great potential for active vibration control of the PCBs, and smart composites with embedded actuators.

scholarly journals A novel approach to enhance the accuracy of vibration control of Frames

2018 ◽  
Vol 34 ◽  
pp. 01027 ◽  
Author(s):  
Iraj Toloue ◽  
Mohd Shahir Liew ◽  
I.S.H Harahap ◽  
H.E. Lee
Keyword(s):  
Vibration Control ◽  
Plastic Material ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Active Regions ◽  
Material Behavior ◽  
Linear Quadratic ◽  
Novel Approach ◽  
Portal Frame ◽  
Active Vibration

All structures built within known seismically active regions are typically designed to endure earthquake forces. Despite advances in earthquake resistant structures, it can be inferred from hindsight that no structure is entirely immune to damage from earthquakes. Active vibration control systems, unlike the traditional methods which enlarge beams and columns, are highly effective countermeasures to reduce the effects of earthquake loading on a structure. It requires fast computation of nonlinear structural analysis in near time and has historically demanded advanced programming hosted on powerful computers. This research aims to develop a new approach for active vibration control of frames, which is applicable over both elastic and plastic material behavior. In this study, the Force Analogy Method (FAM), which is based on Hook’s Law is further extended using the Timoshenko element which considers shear deformations to increase the reliability and accuracy of the controller. The proposed algorithm is applied to a 2D portal frame equipped with linear actuator, which is designed based on full state Linear Quadratic Regulator (LQR). For comparison purposes, the portal frame is analysed by both the Euler Bernoulli and Timoshenko element respectively. The results clearly demonstrate the superiority of the Timoshenko element over Euler Bernoulli for application in nonlinear analysis.

Active vibration control of a rotor bearing system using flexible piezoelectric patch actuators

2020 ◽  
Vol 31 (10) ◽  
pp. 1284-1297
Author(s):  
Maryam Brahem ◽  
Mnaouar Chouchane ◽  
Amira Amamou
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Linear Quadratic ◽  
Steady State Condition ◽  
Lateral Vibrations ◽  
Rotor Bearing ◽  
Active Vibration ◽  
Run Up ◽  
Bearing System

Rotor vibration control is crucial for the reliability of rotating machines. This article applies active vibration control to reduce the vibration of a rotor bearing system using flexible piezoelectric patches as actuators mounted on the shaft external surface. The patches reduce the vibration due to unbalance forces by generating bending moments to counteract rotor deformation. An active vibration control system is designed based on a full-state linear quadratic regulator controller. Since proximity probes are used to measure the lateral vibrations of the rotor at few shaft positions, an observer is designed to estimate the unmeasured vibrations. The weighting matrices required by the linear quadratic regulator controller are selected by trial and error so that the displacement amplitudes are reduced to a minimum and the actuation voltages remain within the limitations defined by the manufacturer of the used patches. Simulated responses demonstrate the effectiveness of the designed controller in attenuating the lateral vibration of the rotor bearing system when using two actuating voltages. The vibration response is reduced for the steady-state condition and during run-up particularly at the first critical speed.

Active vibration control of carbon nanotube reinforced composite beams

2016 ◽  
Vol 39 (12) ◽  
pp. 1851-1863 ◽  
Author(s):  
Ali Mirghaffari ◽  
Behrooz Rahmani
Keyword(s):  
Carbon Nanotube ◽  
Vibration Control ◽  
Active Vibration Control ◽  
Linear Quadratic Regulator ◽  
Composite Beams ◽  
Simulation Studies ◽  
Linear Quadratic ◽  
Reinforced Composite ◽  
Active Vibration ◽  
Control Forces

In this paper, active vibration control of carbon nanotube reinforced composite beams subjected to a temperature rise is studied. For this purpose, piezoelectric patches are used as sensors to measure the displacement of the beam and as actuators to implement control forces. The governing equation of motion of this beam is derived from the Euler–Bernoulli theory and Hamilton’s principle. Galerkin’s method is utilized to obtain the temporal ordinary differential equations. An optimal observer-based output feedback controller is designed by the linear quadratic regulator ( LQR) methodology to ensure closed-loop stability. Simulation studies demonstrate the effectiveness of the proposed method.

A Controllability-Based TO Approach for the Piezoelectric Actuator Design Considering Multimodal Vibration Control

2020 ◽  
pp. 2043009
Author(s):  
Juliano F. Gonçalves ◽  
Emílio C. N. Silva ◽  
Daniel M. De Leon ◽  
Eduardo A. Perondi
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Optimization Procedure ◽  
Linear Quadratic Regulator ◽  
Time Interval ◽  
Control Performance ◽  
Linear Quadratic ◽  
Main Work ◽  
Design Variables ◽  
Material Interpolation

This paper addresses the design problem of piezoelectric actuators for multimodal active vibration control. The design process is carried out by a topology optimization procedure which aims at maximizing a control performance index written in terms of the controllability Gramian, which is a measure that describes the ability of the actuator to move the structure from an initial condition to a desired final state in a finite time interval. The main work contribution is that independent sets of design variables are associated with each modal controllability index, then the multi-objective problem can be split into independent single-objective problems. Thus, no weighting factors are required to be tuned to give each vibration mode a suitable relevance in the optimization problem. A material interpolation scheme based on the Solid Isotropic Material with Penalization (SIMP) and the Piezoelectric Material with Penalization (PEMAP) models is employed to consider the different sets of design variables and the sensitivity analysis is carried out analytically. Numerical examples are presented by considering the design and vibration control for a cantilever beam and a beam fixed at both ends to show the efficacy of the proposed formulation. The control performance of the optimized actuators is analyzed using a Linear-Quadratic Regulator (LQR) simulation.

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