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The Quarterly Journal of Mechanics and Applied Mathematics 1982 35(3):391-402; doi:10.1093/qjmam/35.3.391
© 1982 by Oxford University Press
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ON THE BIFURCATION SOLUTIONS OF AN AXIALLY ROTATING ROD

CHANG-YI WANG

( Department of Mathematics, Michigan State University East Lansing, Michigan 48824 )

A straight flexible rod is rotated axially from one end. The problem depends on a parameter J which represents the relative importance of centrifugal effects to flexural rigidity. There exist numerous bifurcation branches with the first branch most important. The problem is solved by matched asymptotic expansions for large J. The results compare well with exact numerical integration. We find the straight rod is stable for J<1.87510.


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