Passive/Active Autoparametric Cantilever Beam Absorber With Piezoelectric Actuator for a Two-Story Building-Like Structure

This work deals with the design and experimental evaluation of a passive/active cantilever beam autoparametric vibration absorber mounted on a two-story building-like structure (primary system), with two rigid floors connected by flexible columns. The autoparametric vibration absorber consists of a cantilever beam with a piezoelectric patch actuator, cemented to its base, mounted on the top of the structure and actively controlled through an acquisition system. The overall system is then a coupled nonlinear oscillator subjected to sinusoidal excitation in the neighborhood of its external and internal resonances. The addition of the piezoelectric patch actuator to the cantilever beam absorber makes active the passive vibration absorber, thus enabling the possibility to control its equivalent stiffness and damping and, as a consequence, the implementation of an active vibration control scheme able to preserve, as possible, the autoparametric interaction as well as to compensate varying excitation frequencies and parametric uncertainty.

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Design of a Passive/Active Autoparametric Cantilever Beam Absorber With PZT Actuator for a Building-Like Structure

Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems; Integrated System Design and Implementation ◽

10.1115/smasis2013-3230 ◽

2013 ◽

Author(s):

H. F. Abundis-Fong ◽

G. Silva-Navarro ◽

B. Vazquez-Gonzalez

Keyword(s):

Cantilever Beam ◽

Primary Structure ◽

Internal Resonance ◽

Active Vibration Control ◽

Parametric Uncertainty ◽

Vibration Absorber ◽

Control Scheme ◽

Active Vibration ◽

Stiffness And Damping ◽

Sinusoidal Excitation

An experimental and theoretical investigation is carried out on a system consisting of a primary structure coupled with a passive/active autoparametric vibration absorber. The primary structure consists of a building-like mechanical structure with two rigid floors connected by flexible columns made from aluminium strips, while the vibration absorber consists of a cantilever beam with a PZT patch actuator cemented and actively controlled through an acquisition card installed on a PC running on a Matlab/Simulink platform. The overall system is then a coupled nonlinear oscillator subjected to sinusoidal excitation, obtained from an electromechanical shaker, in the neighborhood of its external and internal resonance. The addition of the PZT patch actuator to the cantilever beam absorber, cemented to the base of the beam, makes active the autoparametric vibration absorber, thus enabling the possibility to control the effective stiffness and damping associated to the passive absorber and, as a consequence, the implementation of an active vibration control scheme able to preserve, as possible, the autoparametric interaction as well as to compensate varying excitation frequencies and parametric uncertainty.

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Optimum Design of a Nonlinear Vibration Absorber Coupled to a Resonant Oscillator: A Case Study

Shock and Vibration ◽

10.1155/2018/2107607 ◽

2018 ◽

Vol 2018 ◽

pp. 1-11 ◽

Cited By ~ 2

Author(s):

H. F. Abundis-Fong ◽

J. Enríquez-Zárate ◽

A. Cabrera-Amado ◽

G. Silva-Navarro

Keyword(s):

Multiple Scales ◽

Dynamic Performance ◽

Active Vibration Control ◽

Parametric Uncertainty ◽

Vibration Absorber ◽

Nonlinear Frequency ◽

Nonlinear Absorber ◽

Nonlinear Frequency Response ◽

Active Vibration ◽

Mass Spring

This paper presents the optimal design of a passive autoparametric cantilever beam vibration absorber for a linear mass-spring-damper system subject to harmonic external force. The design of the autoparametric vibration absorber is obtained by using an approximation of the nonlinear frequency response function, computed via the multiple scales method. Based on the solution given by the perturbation method mentioned above, a static optimization problem is formulated in order to determine the optimum parameters (mass and length) of the nonlinear absorber which minimizes the steady state amplitude of the primary mass under resonant conditions; then, a PZT actuator is cemented to the base of the beam, so the nonlinear absorber is made active, thus enabling the possibility of controlling the effective stiffness associated with the passive absorber and, as a consequence, the implementation of an active vibration control scheme able to preserve, as possible, the autoparametric interaction as well as to compensate varying excitation frequencies and parametric uncertainty. Finally, some simulations and experimental results are included to validate and illustrate the dynamic performance of the overall system.

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Active Vibration Absorber for a Continuous Structure Model

10.31224/osf.io/r3ujn ◽

2021 ◽

Author(s):

Carlos Gianpaul Rincón ◽

Jorge Alencastre ◽

Richard Rivera

Keyword(s):

Cantilever Beam ◽

Excitation Frequency ◽

Element Model ◽

Continuous Model ◽

Dynamical Behaviour ◽

Electrical Circuit ◽

Vibration Absorber ◽

Piping System ◽

Primary System ◽

Active Vibration

The reduction of mechanical vibrations is field of continuous research in engineering in order to reduce damage and improve the performance of structures, machinery, piping and others systems, when they are in presence of dynamical forces. In this sense, different alternatives have been proposed over time, the active vibration absorber highlights as an alternative which can absorb the vibration from a primary system for different excitation frequency in real time. In this study, an active vibration absorber has been modelled as an electromechanical device composed of a 1-DOF model for the absorber and an equivalent electrical circuit for the electromagnetic actuator. It was implemented in a real structure represented by a cantilever beam continuous model, which is the most accurate model that can be used. A set of differential equations which represent the dynamical behaviour of the cantilever beam implemented with the active vibration absorber was obtained from the complete model and it was simulated in Matlab Simulink®. An application of the active vibration absorber for an industry piping system based on the finite element model formulation is presented and developed. Results indicate that the active vibration absorber is able to significantly reduce the vibrations amplitude of the primary system, especially in resonance conditions, for a discrete frequency range. The analytic model and procedure developed here can easily widespread to any more complex primary system.

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Efficient Vibration Control with a Semi-Active Vibration Absorber in a Semiconductor Fab

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.564.143 ◽

2014 ◽

Vol 564 ◽

pp. 143-148 ◽

Cited By ~ 1

Author(s):

Teng Sheng Su ◽

Chen Far Hung ◽

Shu Hua Chang ◽

Ting Hao Wu ◽

Luh Maan Chang

Keyword(s):

Control System ◽

Vibration Control ◽

Natural Frequency ◽

Cantilever Beam ◽

Active Vibration Control ◽

Control Process ◽

Vibration Absorber ◽

Servo Motor ◽

Resonant Condition ◽

Active Vibration

In this paper a new type of semi-active vibration absorber has been developed. The vibration absorber consists of mass block, cantilever beam, magnet lock system, vibration and distance sensors, controller and servo motor. The mass block is fixed on the tip of cantilever beam, and the control process is driven by a servo motor and a transmit gears. Portion of cantilever was cut in form of gear tracks, which can be driven by servo motor through transmit gear to regulate the length of the cantilever beam, and the natural frequency of absorber will also be regulated. After the mass locates in right position (i.e. the natural frequency of absorber is in assigned condition), the magnetic lock will clamp the cantilever beam. The design has the benefit of simplified control system, and extra unknown vibration modes will be averted. A fabrication prototype of the proposed semi-active vibration absorber is constructed and tested to demonstrate the application and modeling of the new cantilever beam damper. By performing the experimental work, the semi-active vibration control system is designed not only for reduce vibration level in resonant condition, but also considered for vibration attenuation in non-resonant conditions.

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Effects of nonlinear interactions of flexural modes on the performance of a beam autoparametric vibration absorber

Journal of Vibration and Control ◽

10.1177/1077546319889839 ◽

2019 ◽

Vol 26 (7-8) ◽

pp. 459-474

Author(s):

Saeed Mahmoudkhani ◽

Hodjat Soleymani Meymand

Keyword(s):

Frequency Response ◽

Internal Resonance ◽

Continuation Method ◽

Harmonic Balance Method ◽

Vibration Absorber ◽

Primary System ◽

Lumped Mass ◽

Response Curves ◽

Internal Resonances ◽

The One

The performance of the cantilever beam autoparametric vibration absorber with a lumped mass attached at an arbitrary point on the beam span is investigated. The absorber would have a distinct feature that in addition to the two-to-one internal resonance, the one-to-three and one-to-five internal resonances would also occur between flexural modes of the beam by tuning the mass and position of the lumped mass. Special attention is paid on studying the effect of these resonances on increasing the effectiveness and extending the range of excitation amplitudes at which the autoparametric vibration absorber remains effective. The problem is formulated based on the third-order nonlinear Euler–Bernoulli beam theory, where the assumed-mode method is used for deriving the discretized equations of motion. The numerical continuation method is then applied to obtain the frequency response curves and detect the bifurcation points. The harmonic balance method is also employed for detecting the type of internal resonances between flexural modes by inspecting the frequency response curves corresponding to different harmonics of the response. Parametric studies on the performance of the absorber are conducted by varying the position and mass of the lumped mass, while the frequency ratio of the primary system to the first mode of the beam is kept equal to two. Results indicated that the one-to-five internal resonance is especially responsible for the considerable enhancement of the performance.

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