Asian Journal of Materials Science1996-3394xxxx-xxxxAsian Network for Scientific Information10.3923/ajmskr.2016.1.10AlebrahimR.HarisS.M.MohamedN.A.N.AbdullahS.1201681In this study vibration analysis of multi-cracked beam under moving mass was
investigated. Timoshenko beam model was considered and governing equations were
found. Assumed-modes method was applied to find eigenvalues and eigenvectors
of cracked beam. Cracks in the beam structure were modeled as local flexibility
and were replaced by transverse and rotational spring pair. The compliance factors
of springs were found based on fracture mechanic theorem. Due to cracks, beam
was divided into segments. Compatibility equations were implemented to relate
every two segments. Different boundary conditions were considered and deflections
were found and debated. Natural frequencies were calculated and compared. It
was observed that, crack attenuates beam structure and reduces natural frequency
effectively. Mid-span of the beam was found as the critical point for crack
location. Mid-span deflection for various mass speeds was calculated and the
critical speed was defined. Results were verified against those which were found
through Discrete Element Technique (DET) and Finite Element Method (FEM).]]>Ariaei, A., S. Ziaei-Rad and M. Ghayour,2009Ariaei, A., S. Ziaei-Rad and M. Ghayour,2010Attar, M.,2012Dadfarnia, M., N. Jalili and E. Esmailzadeh,2005Fryba, L.,1999Khaji, N., M. Shafiei and M. Jalalpour,2009Lee, J.,2009Lin, H.P.,2004Lin, H.P. and S.C. Chang,2006Lin, H.P., S.C. Chang and J.D. Wu,2002Loya, J.A., L. Rubio and J. Fernandez-Saez,2006Mahmoud, M.A. and M.A. Abou Zaid,2002Mazanoglu, K. and M. Sabuncu,2010Mazanoglu, K., I. Yesilyurt and M. Sabuncu,2009Mofid, M. and J.E. Akin,1996Nguyen, K.V. and H.T. Tran,2010Zhang, W., Z. Wang and H. Ma,2009