Direct and inverse problems on free vibration analysis of cracked non-uniform beams carrying spring-mass systems by finite element method
Guojin Tan1, Ziyu Liu2, Jinghui Shan3, Chunli Wu4
College of Transportation, Jilin University, Changchun, China
E-mail: email@example.com, firstname.lastname@example.org, email@example.com, firstname.lastname@example.org
Abstract. This paper presents an analytical approach to investigate the free vibration analysis of cracked non-uniform beam carrying spring-mass systems by finite element method and illustrates a valid and reliable damage identification method which using hybrid neural genetic technique. Firstly, based on the finite element method, the dynamic characteristics of non-uniform cracked beam carrying spring-mass systems are obtained. Then, the first five frequencies are used as input parameters by combining genetic algorithm with neural network to identify the damage. Finally, Numerical simulations of direct and inverse problems of non-uniform cracked beams carrying a spring-mass system are carried out.
Keywords: crack, non-uniform beam, dynamic characteristic, finite element method.
 Tan G. J., Wang W. S., Jiao Y. B. Free vibration analysis of a cracked simply supported bridge considering bridge-vehicle interaction. Journal of Vibroengineering, Vol. 18, Issue 6, 2016, p. 3608‑3635.
 Ostachowitz W. M., Krawczuk M. Analysis of the effect of cracks on the natural frequencies of a cantilever beam. Journal of Sound and Vibration, Vol. 150, Issue 2, 1991, p. 191‑201.
 Tan G. J., Shan J. H., Wu C. L., Wang W. S. Free vibration analysis of cracked Timoshenko beams carrying spring-mass systems. Structural Engineering and Mechanics, Vol. 63, Issue 4, 2017, p. 551‑565.
 Zheng D. Y., Fan S. C. Natural frequencies of a non-uniform beam with multiple cracks via modified Fourier series. Journal of Sound and Vibration, Vol. 242, Issue 2, 2001, p. 701‑717.
 Zheng D.Y., Kessissoglou N.J. Free vibration analysis of a cracked beam by finite element method. Journal of Sound and Vibration, Vol. 273, Issue 3, 2004, p. 457‑475.
 Mehrjoo M., Khaji N., Ghafory-Ashtiany M. Application of genetic algorithm in crack detection of beam-like structures using a new cracked Euler-Bernoulli beam element. Applied Soft Computing Journal, Vol. 13, Issue 2, 2013, p. 867‑880.
 Jeyasehar C. A., Sumangala K. Damage assessment of prestressed concrete beams using artificial neural network (ANN) approach. Computers and Structures, Vol. 84, Issue 26, 2006, p. 1709‑1718.
 Dimarogonas A. D., Paipetis S. A., Chondros T. G. Analytical Methods in Rotor Dynamics. Applied Science Publishers, 1983.
 Tan G. J., Wang W. S., Jiao Y. B., W. Z. G. Free vibration analysis of continuous bridge under the vehicles. Structural Engineering and Mechanics, Vol. 61, Issue 3, 2017, p. 335‑345.
Cite this article
Tan Guojin, Liu Ziyu, Shan Jinghui, Wu Chunli Direct and inverse problems on free vibration analysis of cracked non‑uniform beams carrying spring‑mass systems by finite element method. Vibroengineering PROCEDIA, Vol. 14, 2017, p. 7‑12.
© JVE International Ltd. Vibroengineering PROCEDIA. Oct 2017, Vol. 14. ISSN 2345-0533