References
- Andreaus, U., & Baragatti, P. (2009). Fatigue crack growth, free vibrations, and breathing crack detection of aluminium alloy and steel beams. The Journal of Strain Analysis for Engineering Design, 44, 595–608.10.1243/03093247JSA527
- Andreaus, U., & Baragatti, P. (2011). Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response. Journal of Sound and Vibration, 330, 721–742.10.1016/j.jsv.2010.08.032
- Caddemi, S., & Caliò, I. (2009). Exact closed-form solution for the vibration modes of the Euler-Bernoulli beam with multiple open cracks. Journal of Sound and Vibration, 327, 473–489.10.1016/j.jsv.2009.07.008
- Cao, M., Xu, W., Ostachowicz, W., & Su, Z. (2014). Damage identification for beams in noisy conditions based on Teager energy operator-wavelet transform modal curvature. Journal of Sound and Vibration, 333, 1543–1553.10.1016/j.jsv.2013.11.003
- Clough, R. W., & Penzien, J. (2003). Dynamics of structures. Berkley, CA: Computers and Structures.
- Cury, A. A., Borges, C. C., & Barbosa, F. S. (2010). A two-step technique for damage assessment using numerical and experimental vibration data. Structural Health Monitoring, 3, 355–377.
- Ebrahimi, A., Behzad, M., & Meghdari, A. (2010). A bending theory for beams with vertical edge crack. International Journal of Mechanical Sciences, 52, 904–913.10.1016/j.ijmecsci.2010.03.004
- Haisty, B. S., & Springer, W. T. (1988). A general beam element for use in damage assessment of complex structures. Journal of Vibration Acoustics Stress and Reliability in Design, 110, 389–394.10.1115/1.3269531
- Huang, T. (1961). The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions. Journal of Applied Mechanics, 53, 579–584.10.1115/1.3641787
- Khaji, N., Shafiei, M., & Jalalpour, M. (2009). Closed-form solutions for crack detection problem of Timoshenko beams with various boundary conditions. International Journal of Mechanical Sciences, 51, 667–681.10.1016/j.ijmecsci.2009.07.004
- Lele, S. P., & Maiti, S. K. (2002). Modelling of transverse vibration of short beams for crack detection and measurement of crack extension. Journal of Sound and Vibration, 257, 559–583.10.1006/jsvi.2002.5059
- Lin, H.-P. (2004). Direct and inverse methods on free vibration analysis of simply supported beams with a crack. Engineering Structures, 26, 427–436.10.1016/j.engstruct.2003.10.014
- Low, K. H. (2003). Frequencies of beams carrying multiple masses: Rayleigh estimation versus eigenanalysis solutions. Journal of Sound and Vibration, 268, 843–853.10.1016/S0022-460X(03)00282-7
- Ostachowicz, W., & Krawczuk, M. (1991). Analysis of the effect of cracks on the natural frequencies of a cantilever beam. Journal of Sound and Vibration, 150, 191–201.10.1016/0022-460X(91)90615-Q
- Rubio, L., & Fernández-Sáez, J. (2010). A note on the use of approximate solutions for the bending vibrations of simply supported cracked beams. Journal of Vibration and Acoustics, 132, 0245041–0245046.10.1115/1.4000779
- Shafiei, M., & Khaji, N. (2011). Analytical solutions for free and forced vibrations of a multiple cracked Timoshenko beam subject to a concentrated moving load. Acta Mechanica, 221, 79–97.10.1007/s00707-011-0495-x
- Sinha, J. K., Friswell, M. I., & Edwards, S. (2002). Simplified models for the location of cracks in beam structures using measured vibration data. Journal of Sound and Vibration, 251, 13–38.10.1006/jsvi.2001.3978
- Timoshenko, S., Young, D., & Weaver, W. (1974). Vibration problems in engineering. New York, NY: Wiley.
- Zhong, S., & Oyadiji, S. O. (2008). Analytical predictions of natural frequencies of cracked simply supported beams with a stationary roving mass. Journal of Sound and Vibration, 311, 328–352.10.1016/j.jsv.2007.09.009
- Zhong, S., & Oyadiji, S. O. (2011). Detection of cracks in simply-supported beams by continuous wavelet transform of reconstructed modal data. Computers & Structures, 89, 127–148.10.1016/j.compstruc.2010.08.008
- Zienkiewicz, O. C., & Taylor, R. L. (2006). The finite element method for solid and structural mechanics. Butterworth-Heinemann, New York, NY: Elsevier.