[1] Bovsunovsky, A. (2004). “The mechanisms of energy dissapation in the non-propagating fatigue cracks in metalicmaterials”. Engineering Fracture Mechanics, Vol. 71, pp. 2271-2281.
[2] Barad, K. H., Sharma, D. S. and Vyas, V. (2013). “Crack detection in canteliver beam by frequency based method”.Procedia Enineering, Vol. 51, pp. 770-775.
[3] Chinchalkar, S. (2001). “Detection of the crack location in beams using natural frequencies”. Journal of Sound and Vibration, Vol. 247, pp. 417–429,.
[4] Khaji, N., Shafiei, M. and Jalalpour, M. (2009). “Closed-form solutions for crack detection problem of Timoshenko beams with various boundary conditions”. International Journal of Mechanical Sciences, Vol. 51 pp. 667–681.
[5] Pandey, A.K. and Biswas, M. and Samman, M. (1991). “Damage detection from change in curvature mode shapes”. Journal of Sound and Vibration, Vol. 145, pp. 321–332.
]6[ عزالدین، ا.، نادرپور، ح.، خیرالدین، ع.، قدرتی امیری، غ. (1393)، تشخیص محل و میزان ترک در تیرها با استفاده از تبدیل موجک، مدل سازی در مهندسی، سال 12، شماره 39
]7[ تبریزیان، ز.، حسینعلی بیگی، م.، قدرتی امیری، غ. (1394)، تشخیص آسیب در سازه های فلزی با استفاده از اطلاعات خیز استاتیکی و الگوریتم ژنتیک، مدل سازی در مهندسی، سال13، شماره 41.
[8] Chasalevris, A.C. and Papadopoulos, C.A. (2006). “Identification of multiple cracks in beams under bending”, Mechanical Systems and Signal Processing. Vol. 20, pp. 1631-1673.
[9] Sampaio, R.P., Maia, N. M. and Silva, J. M. (1999). “Damage Detection Using the Frequency Response Function Curvature Method”. Journal of Sound and Vibration, Vol. 226, pp. 1029-1042.
[10] Lee, U. and Shin, J. (2002). “A Frequency Response Function-Based Structural Damage IdentificationMethod”. Computers & Structures, Vol. 80, pp. 117-132.
[11] Mehrjoo, M., Khaji, N., Moharrami, H. and Bahreininejad, A. (2008). “Damage detection of truss bridge joints using artificial neural networks”. Expert Systems with Applications, Vol. 35, pp. 1122–1131.
[12] Suresh, S., Omkar, S.N., Ganguli, R. and Mani, V. (2004). “Identification of crack location and depth in a cantilever beam using a modular neural network approach”. Smart Materials and Structures, Vol. 13, pp. 907–915.
]13[ رضایی پژند، م.، موسوی، س. (1388)، ترکیابی در سازههای مستوی با الگوریتم ژنتیک، مدل سازی در مهندسی، سال 4، شماره 18.
[14] Matlab User Manual, Mathwork Inc. Lowell, MA, U.S.A, (2015).
[15] Mehrjo, M, Khaji, N. and Ghafory-Ashtiany, M. (2014). “New Timoshenko-cracked beam element and crack detection in beam-like structures using genetic algorithm” Inverse Problems in Scince and Engineering,Vol. 22, pp. 359–382.
[16] Chopra, A. (2001). “Dynamics of Structures”, Prentice-Hall, New Jersey.
[17] Craig, R. (198—1). “Structural Dynamics”, John Wiley & Sons.
[18] Girard, A. (1990). “Structural Dynamics in Industry”. John Wiley & Sons.
[19] Huang, GB, Zhu, QY and Siew, CK. (2006). “Extreme Learning Machine: A New Learning Scheme of Feedforward Neural Networks”. Neurocomputing, Vol. 70, pp.489-501.
[20] Ertugrul, OF, Kaya, Y. (2014). “A detailed analysis on Extreme learning machine and novel approaches based on ELM”. American Journal of computer science and engineering, Vol. 1, pp. 43-50.
[21] Kourehli, SS., Bagheri A., Amiri GG. and Ghafory-Ashtiany M. “Structural damage detection using incomplete modal data and incomplete static response”, KSCE Journal of civil engineering, Vol. 17, pp. 216-223, (2013).