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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(3):251-266; doi:10.1093/qjmam/33.3.251
© 1980 by Oxford University Press
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BIFURCATION OF FINITELY DEFORMED ROTATING ELASTIC CYLINDERS

D. M. HAUGHTON and R. W. OGDEN

( School of Mathematics, University of Bath )

Bifurcation from a circular cylindrical configuration of an elastic cylinder rotating about its axis is investigated. The properties of the circular cylindrical deformed configuration are used to obtain explicit bifurcation criteria for prismatic, axisymmetric and asymmetric modes of bifurcation in respect of a general form of strain-energy function. The dependence of the bifurcation points on the length of the cylinder and the magnitude of the axial loading is illustrated by numerical calculations for a particular form of strain-energy function, and the relative importance of the different bifurcation modes is detailed for long and short cylinders. In particular, for long cylinders it is found that asymmetric or ‘wobbling’ bifurcation has priority.


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