A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF FREE VIBRATION BEHAVIOR OF A CANTILEVER BEAM WITH A BREATHING CRACK

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REZAEE M.; FEKRMANDI H.

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Journal Paper

Paper Information

Journal: Journal of Aerospace Mechanics Year:2010 | Volume:6 | Issue:3 (21) (DYNAMICS, VIBRATIONS AND CONTROL) Page(s): 55-69

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Title

A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF FREE VIBRATION BEHAVIOR OF A CANTILEVER BEAM WITH A BREATHING CRACK

Author(s)

REZAEE M. | FEKRMANDI H. | Issue Writer Certificate

Keywords

CRACKED BEAMQ2

BREATHING CRACKQ3

SUPERHARMONIC COMPONENTSQ3

MULTIPLE SCALES METHODQ2

Abstract

In this paper, free vibration behavior of a cracked cantilever beam is investigated. The lateral vibration of the CRACKED BEAM in its first mode is modeled as a SDOF system with an equivalent mass, stiffness, and damping. In this model, it is assumed that the equivalent stiffness of the system is varying as a harmonic function due to the opening and closing of the crack during vibration. The main purpose of this investigation is to derive an analytical relation to describe the effects of the system characteristics and the crack parameters on super harmonic components of the response spectrum. To this end, the method of multiple scales is employed to solve the governing differential equation of motion. The results show that the respor.se is composed of two parts, one of which (the main part) is the response of a system with the mean equivalent stiffness of the systems corresponding to the closed crack and the open crack cases and the second part is the first order correction term, which reflects the effect of opening and closing the crack on the vibration response. In fact, the correction term consists of the SUPERHARMONIC COMPONENTS of the spectrum. Results have been validated by numerical methods and experimental tests.

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APA: Copy

REZAEE, M., & FEKRMANDI, H.. (2010). A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF FREE VIBRATION BEHAVIOR OF A CANTILEVER BEAM WITH A BREATHING CRACK. AEROSPACE MECHANICS JOURNAL, 6(3 (21) (DYNAMICS, VIBRATIONS AND CONTROL)), 55-69. SID. https://sid.ir/paper/101813/en

Vancouver: Copy

REZAEE M., FEKRMANDI H.. A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF FREE VIBRATION BEHAVIOR OF A CANTILEVER BEAM WITH A BREATHING CRACK. AEROSPACE MECHANICS JOURNAL[Internet]. 2010;6(3 (21) (DYNAMICS, VIBRATIONS AND CONTROL)):55-69. Available from: https://sid.ir/paper/101813/en

IEEE: Copy

M. REZAEE, and H. FEKRMANDI, “A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF FREE VIBRATION BEHAVIOR OF A CANTILEVER BEAM WITH A BREATHING CRACK,” AEROSPACE MECHANICS JOURNAL, vol. 6, no. 3 (21) (DYNAMICS, VIBRATIONS AND CONTROL), pp. 55–69, 2010, [Online]. Available: https://sid.ir/paper/101813/en

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