Technical Brief

Dynamic Model for Fatigue Evolution in a Cracked Beam Subjected to Irregular Loading

[+] Author and Article Information
Son Hai Nguyen

Nonlinear Dynamics Laboratory,
Department of Mechanical, Industrial and
Systems Engineering,
University of Rhode Island,
Kingston, RI 02881
e-mail: haisonbk@gmail.com

David Chelidze

Nonlinear Dynamics Laboratory,
Department of Mechanical, Industrial
and Systems Engineering,
University of Rhode Island,
Kingston, RI 02881
e-mail: chelidze@uri.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 12, 2016; final manuscript received October 10, 2016; published online November 29, 2016. Assoc. Editor: Miao Yu.

J. Vib. Acoust 139(1), 014502 (Nov 29, 2016) (6 pages) Paper No: VIB-16-1115; doi: 10.1115/1.4035112 History: Received March 12, 2016; Revised October 10, 2016

The coupling of vibration and fatigue crack growth in a simply supported uniform Euler–Bernoulli beam containing a single-edge crack is analyzed. The fatigue crack length is treated as a generalized coordinate in a model for the mechanical system. This coupled model accounts for the interaction between the beam oscillations and the crack propagation dynamics. Nonlinear characteristics of the beam motion are introduced as loading parameters to the fatigue model to match experimentally observed failure dynamics. The method of averaging is utilized both as an analytical and numerical tool to: (1) show that, for cyclic loading, our fatigue model reduces to the Paris' law and (2) compare the predicted fatigue damage accumulation with the experimental data for chaotic and random loadings. A utility of the fatigue model is demonstrated in estimating fatigue life under irregular loadings.

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Fig. 1

Geometry of a simply supported beam with an edge crack

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Fig. 2

Schematic of the experimental apparatus

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Fig. 3

Model of the specimen. The machined notch is at the center.

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Fig. 4

Measurements of fatigue crack (a) and beam static deflection (b)

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Fig. 5

Beam diagram with applied forces

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Fig. 6

Comparison of the ACPD signal (solid line) with numerical integration (dashed line)

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Fig. 7

Exponential curve fitting

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Fig. 8

Dependence of Rσ〈wx=L03〉 in time




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