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TECHNICAL PAPERS

Towards Chaos in Vibrating Damaged Structures—Part II: Parametrical Investigation

[+] Author and Article Information
Alberto Carpinteri

 Department of Structural Engineering and Geotechnics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italycarpinteri@polito.it

Nicola Pugno

 Department of Structural Engineering and Geotechnics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italynicola.pugno@polito.it

J. Appl. Mech 72(4), 519-526 (Apr 08, 2005) (8 pages) doi:10.1115/1.1934631 History: Received December 27, 2002; Revised April 08, 2005

The aim of the present paper is to evaluate the complex oscillatory behavior, i.e., the transition to chaos, in damaged nonlinear structures under excitation. In the present paper, Part II, we apply the theoretical approach described in Part I to perform an extensive parametrical investigation. We focus our attention on a cantilevered beam with several breathing cracks subjected to sinusoidal excitation. The numerical simulations have been performed by varying the number of cracks, their depth and position, as well as the amplitude, frequency and position of the excitation, for a total of 83 different cases.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 6

One crack—Numerical simulations by varying the amplitude of the excitation (E)

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Figure 5

One crack—Numerical simulations by varying the frequency of the excitation (a) (DI). (b) (DII). (c) (DIII). (d) (DIV).

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Figure 4

One crack—Numerical simulations by varying the crack position (a) (CI). (b) (CII). (c) (CIII). (d) (CIV).

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Figure 3

One crack (localized at one-third of the total length of the beam)—Numerical simulations by varying the crack depth (a) (BI). (b) (BII). (c) (BIII). (d) (BIV).

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Figure 2

One crack (localized at one-half of the total length of the beam)—Numerical simulations by varying the crack depth (a) (AI). (b) (AII). (c) (AIII). (d) (AIV).

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Figure 1

The considered nonlinear system and the main parameters numerically investigated

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Figure 7

Two cracks—Numerical simulations by varying the depth of one crack (a) (FI). (b) (FII). (c) (FIII). (d) (FIV).

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Figure 8

Two cracks—Numerical simulations by varying the position of the excitation (a) (GI). (b) (GII). (c) (GIII). (d) (GIV).

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