Abstract
This paper presents a simplified model of cracked beam by single-degree-of-freedom system. Equivalence between the beam and SDOF models means that they have the same fundamental natural frequency and similar frequency response functions (FRFs). Similarity of FRFs is checked by using the frequency-domain assurance criterion acknowledged herein as spectral similarity index (SSI). Finally, FRFs of both the cracked beam and its simplified SDOF model have been examined versus crack location and depth using the so-called spectral damage index (SDI). Numerical results show that SDI is significantly sensitive to crack and could be used as a novel indicator for crack detection in beam by measurements of frequency response functions.
Funder
Trường Đại học Công nghệ, Đại học Quốc Gia Hà Nội
Publisher
Publishing House for Science and Technology, Vietnam Academy of Science and Technology (Publications)
Reference12 articles.
1. N. T. Khiem. Fundamentals of structural dynamics. VNU Publishing House, Hanoi, (2004). (in Vietnamese).
2. T. Irvine. An introduction to shock and vibration response spectra, Revision A. Vibrationdata Publications, (2019).
3. N. T. Khiem and T. T. Hai. Vibration in engineering. VNU Publishing House, Hanoi, (2020). (in Vietnamese).
4. U. Andreaus, L. Placidi, and G. Rega. Soft impact dynamics of a cantilever beam: equivalent SDOF model versus infinite-dimensional system. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225, (2011), pp. 2444–2456.
5. U. K. Pandey and G. S. Benipal. Response of SDOF bilinear elasto-dynamical models of cracked concrete beams for El Centro earthquake. The IES Journal Part A: Civil & Structural Engineering, 6, (2013), pp. 222–238.