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I. Ballo, “Non-linear effects of vibration of a continuous transverse cracked slender shaft,” J. Sound Vibration, 217, No. 2, 321–333 (1998). S. M. Cheng, A. S. J. Swamidas, X. J. Wu, and W. Wallace, “Vibrational response of a beam with a breathing crack,” J. Sound Vibration, 225, No. 1, 201–208 (1999). T. G. Chondros, A. D. Dimarogonas, and J. Yao, “Longitudinal vibration of a bar with a breathing crack,” Eng. Fract. Mech., 61, Nos. 5–6, 503–518 (1998). F. Ismail, A. Ibrahim, and H. R. Martin, “Identification of fatigue cracks from vibration testing,” J. Sound Vibration, 140, No. 2, 305–317 (1990). A. Rivola and P. R. White. “Bispectral analysis of the bilinear oscillator with application to the detection of fatigue cracks,” J. Sound Vibration, 216, No. 5, 889–910 (1998). R. Ruotolo, C. Surace, P. Crespo, and D. Storer, “Harmonic analysis of the vibrations of a cantilever beam with a closing crack,” Comput. Struct., 61, No. 6, 1057–1074 (1996). S. K. Thyagarajan, M. J. Schultz, P. F. Pai, and J. Chung, “Detecting structural damage using frequency response functions,” J. Sound Vibration, 210, No. 1, 162–170 (1998). S. L. Tsyfansky and V. I. Beresnevich, “Detection of fatigue cracks in flexible geometrically non-linear bars by vibration monitoring,” J. Sound Vibration, 213, No. 1, 159–168 (1998). B. Zastrau, “Vibration of cracked structures,” Archiv Mech., 37, No. 6, 731–743 (1985). M. Krawczuk and W. Ostachowicz, “Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements – a survey,” J. Theor. Appl. Mech., 34, No. 2, 307–326 (1996). V. V. Matveev and A. P. Bovsunovskii, “Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 2. Bending vibrations, analytical solution,” Probl. Prochn., No. 6, 9–22 (1998). V. V. Matveev and A. P. Bovsunovskii, “Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 3. Analytical and numerical determination of natural frequencies of longitudinal and bending vibrations of beams with transverse cracks. Solution,” Probl. Prochn., No. 4, 19–31 (1999). Yu. Murakami (Ed.), Stress Intensity Factors. Handbook [Russian translation], Vol. 1, Mir, Moscow (1990). A. B. Roitman, A. A. Pylov, and N. B. Aleksandrova, “Longitudinal vibrations of a cross-cracked cantilever beam. Part 1. Small vibrations,” Probl. Prochn., No. 2, 23–34 (1999). A. P. Bovsunovskii and A. G. Kratko, “The shape of mechanical hysteresis loops for metals under harmonic loading,” J. Test. Eval., 26, No. 1, 31–37 (1998). V. V. Matveev and A. P. Bovsunovskii, “Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 4. Analysis of distortion of harmonicity of vibration cycle of beams with closing transverse cracks,” Probl. Prochn., No. 1, 5–12 (2000). A. P. Bovsunovskii and V. V. Matveev, “Analytical approach to the determination of dynamic characteristics of a beam with a closing crack,” J. Sound Vibration, 235, No. 3, 415–434 (2000). V. L. Biderman, Theory of Mechanical Vibration [in Russian], Vysshaya Shkola, Moscow (1980). V. V. Matveev and A. P. Bovsunovskii, “Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 1. Longitudinal vibration. Analytical solution,” Probl. Prochn., No. 6, 5–20 (1997). B. I. Kryukov, Forced Vibration of Essentially Nonlinear Systems [in Russian], Mashinostroenie, Moscow (1984). S. P. Timoshenko, D. H. Young, and W. Weever, Vibration in Engineering [in Russian], Mashinostroenie, Moscow (1985).