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Structural Engineering and Mechanics
  Volume 55, Number 2, July25 2015, pages 335-348
DOI: http://dx.doi.org/10.12989/sem.2015.55.2.335
 


The dispersion of the flexural waves in a compound hollow cylinder under imperfect contact between layers
Cengiz Ipek

 
Abstract
    The influence of the interface imperfect bonding on the flexural wave dispersion in the bilayered hollow circular cylinder is studied with utilizing three-dimensional linear theory of elastodynamics. The shear-spring type model is used for describing the imperfect bonding on the interface between the layers and the degree of the imperfectness is estimated through the dimensionless shear-spring parameters which enter the mentioned model. The method for finding the analytical expressions for the sought values and dispersion equation are discussed and detailed. Numerical results on the lowest first and second modes are presented and analyzed. These results are obtained for various values of the shear-spring parameters. According to these results, in particular, it is established that as a results of the imperfection of the bonding between the layers the new branches of the dispersion related the first fundamental mode arise and the character of the dispersion curve related to the second mode becomes more complicated.
 
Key Words
    layered structures; debonding; analytical modelling; flexural waves; dispersion
 
Address
Cengiz Ipek: Member of 2nd Committee of Kocaeli Chamber of Commerce, Kocaeli, Turkey
 

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