Forced vibrations of orthotropic shells: nonclassical boundary-value problems

  • L. A. AgalovyanEmail author
  • L. G. Gulgazaryan


The forced vibrations of a cylindrical orthotropic shell are studied. Two types of boundary conditions on the outer surface are examined considering that the displacement vector prescribed on the inner surface varies harmonically with time. Asymptotic solutions of associated dynamic equations of three-dimensional elasticity are found. Amplitudes of forced vibrations are determined and conditions under which resonance occurs are established. Boundary-layer functions are defined. The rate of their decrease with distance from the ends inside the shell is determined. A procedure of joining solutions for the internal boundary-layer problem is outlined in the case for the, if clamping boundary conditions are prescribed at the ends


orthotropic shell forced vibrations asymptotic solution boundary layer 


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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Institute of MechanicsNational Academy of Sciences of ArmeniaErevanArmenia

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