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2007, Mechatronics
In linear mechanical systems, the vibration of mechanical structures depends upon the boundary conditions, the mode of excitation and the dissipative or damping capacities of the system itself. The latter are the result of passive residual and structural friction. In the cases where passive damping of mechanical structures becomes inadequate, dynamic reactivity of the structure may be influenced by controlled active damping which is particularly suitable for non-linear systems where the structure response and excitation are directly interconnected. The present paper deals with active electromagnetic damping of lateral vibration of a clamped steel cantilever. The electromagnetic system consists of a switching current amplifier and a pair of electromagnets, which are mounted laterally at a right angle to the plane of the steel cantilever. A simulation model of control system has been produced and confirmed by experiments. Control algorithm is simple, efficient and ensures stability in operation.
Vibration attenuation is necessary in many electro-mechanical systems. In this paper electromagnetic damping is applied on a flexible cantilever beam (FCB) made of ferromagnetic material. The lateral vibration is controlled by employing two electromagnetic poles mounted in the same axis as that of a vibrating cantilever beam. A power amplifier is developed to provide desired current to the electromagnet. Comparison of damping achieved at different electromagnetic forces is presented. The study employs a new method of applying a constant DC power to one of the electromagnets while other is connected to a variable current source. Experimental results are presented that show the effectiveness of the presented approach.
In this study a non-contact actuator is developed which is capable of vibrating the cantilever beam continuously in steady state. The actuator is made up of an electromagnet. Two such actuators are installed in the system. One actuator is placed above the free end of the cantilever beam and other below it. As there is no contact between the actuators and the beam, so there is no wear and tear in the system. Electromagnetic force is developed when current passes through the coils of electromagnet. The displacement at the free end of the beam is measured and it is differentiated to measure the velocity. Depending upon the direction of the velocity either top or bottom electromagnet is switched on whereas the other actuator remains switched off. In this fashion actuators are controlled. Both simplified Single Degree Of Freedom and Multi Degree Of Freedom systems are analyzed and Simulink models of the systems have been drawn. As magnetic force have special feature of changing the stiffness of the beam, in this study it is observed that the application of the combined actuators decreases the stiffness of the system. Index Terms-Electromagnetic actuator; Cantilever beam; MATLAB SIMULINK; Active vibration control; Sankha, "Analysis of a Lorentz force based vibration exciter using permanent magnets mounted on a piezoelectric stack
Journal of Sound and Vibration, 2005
This paper is concerned with a new modeling technique for the effective eddy current damper and vibration suppression of a beam using the eddy current damper. The eddy current damper consists of the permanent magnets and the conducting sheet. The relative motion between the magnets and the conducting sheet produces eddy currents thus resulting in the electromagnetic force, which turns out to be the damping force thus suppressing vibrations. The important advantage of the proposed eddy current damper is that it does not require any electronic devices and external power supplies. In the present study, the theoretical model for the eddy current damper is derived using the electromagnetic theory combined with the image method. The theoretical model enables us to estimate the damping augmented to the host structure as well as develop a design tool for the eddy current damper. It is found from the comparison with the experimental results that the theoretical model can predict the damping characteristics and the dynamic behavior of the structure. The theoretical and experimental results also showed that the vibration of the beam can be successfully suppressed by means of the eddy current damper.
—The analysis and design of control system for Adaptive vibration for cantilever beam like structure is presented in this paper. The control system is implemented via semi-active magneto rheological (MR) damper located on the suspension that links the beam to the ground. Project study is concerned with the Single degree of freedom (SDOF) isolation system with MR fluids damper under harmonic excitation. A mathematical model of the MR fluid damper with experimental verification will be adopted. The motion characteristics of the SDOF system with the MR damper will be studied and compare with those of the system with a conventional damper. The energy dissipated and equivalent damping coefficient of the MR damper in terms of input voltage, displacement amplitude and frequency will be investigated.
Journal of Sound and Vibration, 2005
Electromagnetic forces are generated by the movement of a conductor through a stationary magnetic field or a time varying magnetic field through a stationary conductor and can be used to suppress the vibrations of a flexible structure. In the present study, a new electromagnetic damping mechanism is introduced. This mechanism is different from previously developed electromagnetic braking systems and eddy current dampers because the system investigated in the subsequent manuscript uses the radial magnetic flux to generate the electromagnetic damping force rather than the flux perpendicular to the magnet's face as done in other studies. One important advantage of the proposed mechanism is that it is simple and easy to apply. Additionally, a single magnet can be used to damp the transverse vibrations that are present in many structures. Furthermore, it does not require any electronic devices or external power supplies, therefore functioning as a non-contacting passive damper. A theoretical model of the system is derived using electromagnetic theory enabling us to estimate the electromagnetic damping force induced on the structure. The proposed eddy current damper was constructed and experiments were performed to verify the precision of the theoretical model. It is found that the proposed eddy current damping mechanism could increase the damping ratio by up to 150 times and provide sufficient damping force to quickly suppress the beam's vibration.
IEEE Transactions on Magnetics, 2018
A mechanical-magnetic-electro bidirectional coupled dynamic model of a composite cantilever with magnetostrictive shunt damper is established, and the system's transfer functions and a key impedance impact factor are derived. For shunt vibration damping, H 2 optimization criterion and the Nelder-Mead search method are used to obtain the optimal parameters of three circuits: resistance shunt (RS), capacitance shunt (CS), and resistance-CS (RCS). Comparisons between the calculated and measured results show that the proposed model can accurately describe the transmissibility vibration frequency responses of the system under RS and CS, and can predict the changing laws of the resonant frequency and the resonant peak with the shunt impedance. It is found that the RCS with negative shunt resistance can provide the peak attenuation rate 90.78%, which is higher than 70.44% of CS and 53.29% of RS, and has wider frequency broadband and faster vibration damping performances than CS and RS.
Vibration Control, 2010
A linear dashpot is a common equipment used in shock and vibration isolation. It has been shown theoretically that the vibration isolation performance can be significantly improved by a damping profile that depends on the piston relative position. In this study, a position-dependent damping profile is realized by using electromagnetic principles. The idea is to have multiple coil windings on the outer cylinder and to use a magnet as a piston. The damping profile is tuned by changing the number of turns at each coil. As a result of the magnet-coil arrangement, the architecture also has the capability of being regenerative. A unique experimental setup is constructed that measures damping electrically in a multiple coil arrangement. Least-squares optimization method is used to tune the number of turns. It is shown that the coil turns can be successfully tailored to realize a desired damping profile. The position-dependent damping architecture has the potential to be used in future regenerative dampers.
2010
This chapter presents an application of zero-power controlled magnetic levitation for active vibration control. Vibration isolation are strongly required in the field of high-resolution measurement and micromanufacturing, for instance, in the submicron semiconductor chip manufacturing, scanning probe microscopy, holographic interferometry, cofocal optical imaging, etc. to obtain precise and repeatable results. The growing demand for tighter production tolerance and higher resolution leads to the stringent requirements in these research and industry environments. The microvibrations resulted from the tabletop and/or the ground vibration should be carefully eliminated from such sophisticated systems. The vibration control research has been advanced with passive and active techniques. Conventional passive technique uses spring and damper as isolator. They are widely used to support the investigated part to protect it from the severe ground vibration or from direct disturbance on the ta...
Advances in Civil and Architectural Engineering, 2023
This article presents a novel magnetic pole repulsive damper (MPRD) incorporating neodymium magnetic repulsive blocks and springs. The study explores the mechanical properties of the springs and magnetic blocks through numerical simulations using ANSYS and experimental evaluation. To gain deeper insights into the behaviour of the MPRD, an accurate and high-fidelity finite element model was developed. The evaluation process involved a comprehensive comparison between the numerical simulations and experimental tests, explicitly focusing on cyclic compression-tension forces. The study encompassed the functioning, design implications, fabrication technique, mechanical performance, and numerical simulation for the cyclic compression-tension forces of the MPRD. The cyclic compression-tension tests revealed a gradual increase in force, with the MPRD achieving an ultimate force of 2,877 kN. The MPRD exhibited robust hysteresis behaviour in cyclic loading, showing its capacity to undergo and uphold the stability of the combination of its materials. The cyclic compression-tension results indicated the maximum force carrying capability of the damper. This resilience implies its full reusability in such scenarios. The comparison between cyclic compression-tension tests confirmed the alignment between the numerical simulation and experimental investigation.
IETE Journal of Research, 2016
In this work, a novel technique is proposed for generating desired transient vibrations in a structure. Cantilevered plate structure is instrumented with one piezoelectric sensor patch and one piezoelectric actuator patch. Quadrilateral plate finite element having three degrees of freedom at each node is employed to divide the plate into finite elements. Thereafter, Hamilton's principle is used to derive equations of motion of the smart plate. Finite-element model is reduced to first three modes using orthonormal modal truncation and subsequently, the reduced finite-element model is converted into a state-space model. Optimal tracking control is then applied to the state-space model of the smart plate. Using this optimal controller, cantilevered plate is made to vibrate as per desired decay curves of first three modes. Simulation results show that presented optimal control strategy is very effective in simultaneously tracking first three vibration modes of the smart plate.
Vibration of machines is an unwanted phenomenon, and it is usually of interest to eliminate it. There are various means to be used in order to reach the goal, where the utilization of the electromagnet augmented by an external shunt circuit is analyzed in the paper. The magnetic force is used to introduce additional electromagnetic damping into vibrating mechanical system. The hysteretic losses and eddy currents are included in the model, to take into account more realistic dynamic behaviour of the system. The mathematical model of the controller is derived using lumped parameter approach. The parameters are assumed from an experimental setup using and an industrial type of electromagnet. Considering the harmonic excitation of mechanical system, a steady-state response and performance of the controller is analyzed. Simulation results show the influence of introduced electromagnetic damping on the dynamical response of the system.
IEEE/ASME Transactions on Mechatronics, 2005
This work will present a new type of passive vibration control technique based on the concept of electromagnetic shunt damping. The proposed technique is similar to piezoelectric shunt damping, as an appropriately designed impedance is shunted across the terminals of the transducer. Theoretical and experimental results are presented for a simple electromagnetic mass spring damper system.
Index term: Eddy current, cantilever beam, damping system, magnetic field.
Journal of Vibroengineering, 2013
This work considers passive dynamic absorber (without additional energy source) of the simplest type: a non-controlled spring with one degree of freedom. Object of vibration suppression is transversal vibrations of rigid cantilever beam. The inertial element is connected to the vibration protection object by means of elastic metal element - nonlinear conical coil spring. Experiments were performed on the universal vibration system TM 150.
2013
The paper deals with a laboratory test rig for demonstration of the efficiency of active vibration control of a cantilever beam. The configuration of the actuator and sensor pair is non-collocated. Vibration of the beam is sensed at its free end while the actuator acts near to the clamped beam end perpendicularly to the beam axis. The beam is mounted in an aluminium frame in the vertical position. The vibration of the beam is excited by an electrodynamic exciter. The source of vibration is a moving mass of the exciter. Vibrations are transferred through the rig frame to the clamped beam. The frequency of the first vibration mode of the cantilever beam is equal to 17 Hz. The exciter vibrates at the same frequency as the first mode frequency therefore it can be observed significant vibration of the beam's end. These vibrations can be reduced by the active vibration control system. The vibration of the cantilever beam's free end is measured by the laser sensor for deflection, system dSPACE works as a controller. The controller output voltage is amplified and then supplies the linear stack piezoactuator.
2010
Active constrained layer damping treatment suffers from the disadvantage of reduced transmissibility of active forces. By using edge anchors, this problem can be solved up to certain extent. These edge stiffeners increase the transmissivity of forces only at very high feedback gains only; however decrease the effectiveness of PCLD treatment. On the other hand, by adding the stand off layer (SOL) between the Viscoelastic layer and the base beam, the efficiency of passive damping can be improved dramatically. This technique has additional advantages. First, it increases the Viscoelastic strain and hence more energy is dissipated via Viscoelastic layer. Secondly, it enhances the effect of active forces and moments even without using edge anchors. The proposed treatment has also been verified experimentally.
Journal of Sound and Vibration, 2007
When a conductive material is subjected to a time-changing magnetic field, eddy currents are formed in the conductor. These currents circulate inside the conductor such that a magnetic field is formed. This eddy current field then interacts with the applied field resulting in a dynamic force between the conductor and the magnetic source. The force can be considered dynamic because as the eddy currents circulate inside the conductor they are dissipated by the internal resistance of the conductor. Therefore, if a continuously changing field is not applied to the conductor the force will disappear. However, the eddy current forces can be utilized to form an actuator by applying a time-changing current to an electromagnet that is in close proximity to a conductive material. This actuation method is easy to incorporate into the system and allows significant forces to be applied without every coming into contact with the structure. In this manuscript, the authors develop the concept and show that it can be accurately modeled and effectively used to control the vibration of a structure. The active eddy current actuator has not been previously demonstrated and therefore this article will present the first use of the system for providing transverse vibration suppression. Furthermore, the constraints necessary to design an active control filter will be presented. This vibration control system will use a velocity feedback filter to actively modify the current applied to the coil. Using this system, experiments are performed on a cantilever beam showing the system can effectively suppress each of the first five modes of vibration by upwards of 20 dB, demonstrating the actuator has an increased bandwidth over previously used eddy current methods.
International Conference on Aerospace Sciences and Aviation Technology, 2003
A new approach for suppression and control of mechanical vibration in cantilevered structures undergoing cyclic motion is presented [1]. The proposed model is based on the idea of generating axial uniform distributed forces on the superficial fibers of the vibrating structure. These forces are imposed on structure in such way that their vertical components act in a direction always opposing the rotation of the vibrating elements of the structure. Moreover, the damping level according to this model is dependent on the axial force value. Equation of motion for the new model are obtained where, the effectiveness of this model for reducing lateral vibration of a base excited cantilevered beam is determined theoretically at different force values. It is shown that the higher the force value, the higher the attenuation percentage. The new model is characterized by its simplicity, which enhances its reliability and reduce its cost, as it provide the desired results with higher reliability and low cost, compared with other approaches of active and intelligent structural designs.
2015
Research on Active Vibration Control System (AVCS) is being carried out to reduce structural vibrations caused by unwanted vibrations in many application areas such as in space, aircraft structures, satellites, automobiles and civil structures (bridges), particularly at low frequencies. In this paper; we have discussed Active Vibration Control technique by using open loop control system. Result from ANSYS and experimental results from FFT analyzer were compared. The experimental results are presented for the cantilever beam excited at one of its natural frequency using active vibration control system. For open loop control system, less reduction were observed and the reasons were discussed for it. Keywords—Piezoelectric(PZT), Active Vibration Control(AVC), Cantilever beam, Actuator, Electro-dynamic shaker,ANSYS, FFT
Proceedings of the 13th International Carpathian Control Conference (ICCC), 2012
The paper deals with active vibration control of cantilevered beams. The motion of the cantilever beam as a continuum is described by a lumped parameter model for which the transfer function relating the beam displacement to the acting force is to be calculated. The paper analyzes the effect of feedback on vibration of the individual points of the beam, including its free end. Methods for analyzing are based on the transfer function calculation and simulation the time response to an acting force. Movement and position of the cantilever beam will be described either by deflection or velocity or acceleration. The feedback is designed using a pole placement method.
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