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Research Papers

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

[+] Author and Article Information
Gerardo Silva-Navarro

Mechatronics Section,
Department of Electrical Engineering,
Centro de Investigacion y de Estudios
Avanzados del I.P.N.,
A.P. 14-740,
Mexico, D.F. C.P. 07360, Mexico
e-mail: gsilva@cinvestav.mx

Hugo F. Abundis-Fong

Mechatronics Section,
Department of Electrical Engineering,
Centro de Investigacion y de Estudios
Avanzados del I.P.N.,
A.P. 14-740,
Mexico, D.F. C.P. 07360, Mexico
e-mail: habundis@cinvestav.mx

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 1, 2014; final manuscript received September 22, 2014; published online November 12, 2014. Assoc. Editor: Eugenio Dragoni.

J. Vib. Acoust 137(1), 011017 (Feb 01, 2015) (10 pages) Paper No: VIB-14-1118; doi: 10.1115/1.4028711 History: Received April 01, 2014; Revised September 22, 2014; Online November 12, 2014

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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Figures

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Fig. 1

Schematic diagrams: (a) building-like structure with cantilever beam vibration absorber and (b) free-body diagrams of floors

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Fig. 2

Experimental setup

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Fig. 3

Experimental frequency response of the building-like structure without passive autoparametric coupling and without active control (i.e., u  ≡  0)

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Fig. 4

Experimental frequency response of the autoparametric passive cantilever beam absorber without active control (i.e., u  ≡  0)

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Fig. 5

Dynamic response of the building-like structure without autoparametric interaction and without active control (i.e., u  ≡  0)

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Fig. 6

Dynamic response of the building-like structure with passive autoparametric interaction and without active control (i.e., u  ≡  0)

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Fig. 7

Dynamic response of the building-like structure when xb(t)=xb0(sin ω1t+sin ω2t) without passive autoparametric interaction and without active control (i.e., u  ≡  0)

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Fig. 8

Dynamic response of the building-like structure when xb(t)=xb0(sin ω1t+sin ω2t) with passive autoparametric interaction and without active control (i.e., u  ≡  0)

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Fig. 9

Parameterized FRF of the primary system in terms of the available PZT actuator stiffness kc ∈ [–5, 5] N/m

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Fig. 10

Block diagram of the passive/active autoparametric cantilever beam absorber with PZT actuator

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Fig. 11

Dynamic response of the system with passive/active absorber when there is a frequency change (ερ1 = −0.5 rad/s)

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Fig. 12

Control force u, force F, and displacement xb at the base when there is a frequency change (ερ1 = −0.5 rad/s)

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Fig. 13

Dynamic response of the system with passive/active absorber when there is a frequency change (ερ1 = +0.5 rad/s)

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Fig. 14

Control force u, force F, and displacement xb at the base when there is a frequency change (ερ1 = +0.5 rad/s)

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