Multiple crack identification in stepped beam by measurements of natural frequencies

Nguyen Tien Khiem, Duong The Hung, Vu Thi An Ninh


A new approach is proposed for calculating natural frequencies and crack detection in a stepped cantilever beam with arbitrary number of cracks. This is based an explicit expression of the natural frequencies in term of crack parameter derived in the form similar to the so-called Rayleigh quotient for vibrating beam. The obtained simple relationship between natural frequencies and crack parameters enables not only accurate calculating the natural frequencies but also to develop an efficient procedure for detecting multiple cracks from given natural frequencies. The proposed technique called crack scanning method is illustrated and validated by numerical results.


Multi stepped beam; Rayleigh quotient; multi-crack detection; frequency based method; modal analysis

Full Text:


DOI: Display counter: Abstract : 168 views. PDF : 60 views.


  • There are currently no refbacks.

Copyright (c) 2014 Vietnam Academy of Science and Technology


Editorial Office of Vietnam Journal of Mechanics

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam
Tel: (+84) 24 3791 7103