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TECHNICAL PAPERS

Effects of Discontinuity of Elasticity and Damping on the Dynamics of an Electromechanical Transducer

[+] Author and Article Information
R. Yamapi

Laboratoire de Mécanique, Faculté des Sciences,  Université de Yaoundé I, B.P. 812, Yaoundé, Camerounryamapi@yahoo.fr

J. B. Chabi Orou

 Institut de Mathématiques et de Sciences Physiques, B.P. 613 Porto-Novo, Bénin

P. Woafo1

Laboratoire de Mécanique, Faculté des Sciences,  Université de Yaoundé I, B.P. 812, Yaoundé, Camerounpwoafo@uycdc.uninet.cm

1

Corresponding author.

J. Vib. Acoust 127(6), 588-593 (Sep 08, 2004) (6 pages) doi:10.1115/1.1888589 History: Received April 08, 2003; Revised September 08, 2004

In this paper, we study numerically the effects of discontinuity in elasticity and damping on the dynamics of an electromechanical transducer. Frequency-response curves of oscillatory states are obtained. Bifurcation structures and transitions to nonperiodic or chaotic motion are found.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 10

Bifurcation diagram showing the coordinate y vs. E0 with the parameters of Fig. 8 and γ0=10.0 and w0=0.3

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Figure 9

Bifurcation diagram showing the coordinate y vs. w0 with the parameters of Fig. 8 and γ0=10 and E0=5.0

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Figure 8

Bifurcation diagram showing the coordinate y vs. γ0 with the parameters of Fig. 6 and γ0=0.1 and E0=3.0

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Figure 7

Effects of damping on the phase plane of the mechanical oscillator with the parameters of Fig. 2 and w0=0.2. (a) γ0=0.1, (b) γ0=2.1, (c) γ0=4.2; (d) γ0=15.2

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Figure 6

Effects of elasticity on the phase lane of the mechanical oscillator with the parameters of Fig. 2 and γ0=0.1. (a) w0=0.2, (b) w0=2.2, (c) w0=4.2; (d) w0=15.2

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Figure 5

Amplitude-response curves ximax and yimax vs. w0 with the parameters of Fig. 2

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Figure 4

Amplitude-response curves ximax and yimax vs. w0 with the parameters of Fig. 2

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Figure 3

Effects of damping on the frequency-response curves yimax of the mechanical oscillator versus w with the parameters of Fig. 2 and w0=3.0

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Figure 2

Effects of elasticity on the frequency-response curves yimax of the mechanical oscillator versus w with the parameters γ1=0.1; γ2=1.5; λ1=0.2; λ2=0.6; w2=1.2; γ0=1.2; E0=5.0; w=1.3; and w1=1.0

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Figure 1

Electromechanical transducer with discontinuity

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