A new continuous model for flexural vibration analysis of a cracked beam

Dimarogonas A. D.: Vibration of cracked structures-A state of the art review, Engineering Fracture Mechanics, Vol. 5, pp. 831-857, 199610.1016/0013-7944(94)00175-8Search in Google Scholar

Wauer Jorg: On the dynamics of cracked rotors: A literature survey, Applied Mechanics Reviews, Vol. 43,1, pp. 13-17, 199010.1115/1.3119157Search in Google Scholar

Gasch R.: A survey of the dynamic behavior of a simple rotating shaft with a transverse crack, Journal of sound and vibration, Vol. 160(2), pp 313-332, 199310.1006/jsvi.1993.1026Search in Google Scholar

Dimarogonas A. D., Paipetis S. A.: Analitical methods in rotor dynamics, London, Applied science publisher, 1983Search in Google Scholar

Zheng D. Y., Fan S. C.: Vibration and stability of cracked hollow-sectional beams, Journal of sound and vibration, Vol. 267, pp. 933-954, 200310.1016/S0022-460X(02)01605-XSearch in Google Scholar

Yanga J., Chena Y., Xiangc Y., Jiaa X. L.: Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load, Journal of Sound and Vibration 312, 166-181, 200810.1016/j.jsv.2007.10.034Search in Google Scholar

Orhan S.: Analysis of free and forced vibration of a cracked cantilever beam, NDT&E International 40, 443-450, 200710.1016/j.ndteint.2007.01.010Search in Google Scholar

Yang X. F., Swamidas A. S. J. and Seshadri R.: Crack identification in vibrating beams using the energy method, Journal of sound and vibration, Vol. 244(2), pp. 339-357, 200110.1006/jsvi.2000.3498Search in Google Scholar

Shen M. H. H., Pierre C.: Free vibrations of beams with a single-edge crack, Journal of sound and vibration, Vol. 170(2), pp. 237-259, 199410.1006/jsvi.1994.1058Search in Google Scholar

Carneiro S. H. S., Inman D. J.: Comments on the free vibration of beams with a single-edge crack, Journal of sound and vibration, Vol. 244(4), pp. 729-737, 200110.1006/jsvi.2000.3505Search in Google Scholar

Chondros T. G., Dimarogonas A. D. and Yao J.: A continuous cracked beam vibration theory, Journal of Sound and Vibration, Vol.215(1), pp. 17-34, 199810.1006/jsvi.1998.1640Search in Google Scholar

Chondros T. G., Dimarogonas A. D. and Yao J.: Vibration of a beam with breathing crack, Journal of Sound and Vibration, Vol. 239(1), pp. 57-67, 200110.1006/jsvi.2000.3156Search in Google Scholar

Tada H., Paris P. C. and Irvin G. R.: The stress analysis of cracks handbook. Hellertown, Pennsylvania: Del Research Corp., 1973.Search in Google Scholar

ANSYS User's Manual for rev. 8, ANSYS Inc., 2004.Search in Google Scholar

Hai-Ping Lin: Direct and inverse methods on free vibration analysis of simply supported beams with a crack, Engineering structures, Vol. 26(4), pp. 427-436, 200410.1016/j.engstruct.2003.10.014Search in Google Scholar

Zheng D. Y., Fan S. C.: Vibration and stability of cracked hollow-sectional beams, Journal of sound and vibration, Vol. 267, pp. 933-954, 200310.1016/S0022-460X(02)01605-XSearch in Google Scholar

Loyaa J. A., Rubiob L., Fernandez-Saeza J.: Natural frequencies for bending vibrations of Timoshenko cracked beams, Journal of Sound and Vibration 290, 640-653 200610.1016/j.jsv.2005.04.005Search in Google Scholar

Jialai Wanga, Pizhong Qiaob: Vibration of beams with arbitrary discontinuities and boundary conditions, Journal of Sound and Vibration 308, 12-27, 2007.10.1016/j.jsv.2007.06.071Search in Google Scholar

Christides S., Barr A. D. S.: One-dimensional theory of cracked Bernoulli-Euler beams, Journal of mechanical science, Vol. 26(11/12), pp. 639-648, 198410.1016/0020-7403(84)90017-1Search in Google Scholar

Shen M. H. H., Pierre C.: Natural modes of Bernoulli-Euler beams with symmetric cracks, Journal of sound and vibration, Vol. 138(1), pp. 115-134, 199010.1016/0022-460X(90)90707-7Search in Google Scholar