Exact receptance function and receptance curvature of a clamped-clamped continuous cracked beam

Authors

  • Nguyen Viet Khoa Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi
  • Cao Van Mai Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi
  • Dao Thi Bich Thao Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi

DOI:

https://doi.org/10.15625/0866-7136/14566

Keywords:

receptance, curvature of receptance, frequency response function, crack, crack detection

Abstract

The receptance function has been studied and applied widely since it interrelates the harmonic excitation and the response of a structure in the frequency domain. This paper presents the derivation of the exact receptance function of continuous cracked beams and its application for crack detection. The receptance curvature is defined as the second derivative of the receptance. The influence of the crack on the receptance and receptance curvature is investigated. It is concluded that when there are cracks the receptance curvature has sharp changes at the crack positions. This can be applied for the crack detection purpose. In this paper, the numerical simulations are provided.

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Author Biography

Nguyen Viet Khoa, Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi

Corresponding author:
Email: nvkhoa@imech.vast.vn

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Published

28-12-2019

How to Cite

Khoa, N. V., Mai, C. V., & Thao, D. T. B. (2019). Exact receptance function and receptance curvature of a clamped-clamped continuous cracked beam. Vietnam Journal of Mechanics, 41(4), 349–361. https://doi.org/10.15625/0866-7136/14566

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Articles