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Cosserat Spectrum of an Axisymmetric Elasticity Problem for a Finite-Length Solid Cylinder

Published online by Cambridge University Press:  02 July 2018

Yu. V. Tokovyy
Affiliation:
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of UkraineLviv, Ukraine
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Abstract

An algorithm for the computation and analysis of the Cosserat spectrum for an axisymmetric elasticity boundary-value problem in a finite-length solid cylinder with boundary conditions in terms of stresses is proposed. By making use of the cross-wise superposition method, the spectral problem is reduced to systems of linear algebraic equations. A solution method for the mentioned systems is presented and the asymptotic behavior of the Cosserat eigenvalues is established. On this basis, the key features of the Cosserat spectrum for the mentioned problem are analyzed with special attention given to the effect of the cylinder aspect ratio.

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Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

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References

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