ELASTIC ROD IN KOVALEVSKAYA CASE[J]. MECHANICS IN ENGINEERING, 2003, 25(5). DOI: 10.6052/1000-0992-2003-123
Citation: ELASTIC ROD IN KOVALEVSKAYA CASE[J]. MECHANICS IN ENGINEERING, 2003, 25(5). DOI: 10.6052/1000-0992-2003-123

ELASTIC ROD IN KOVALEVSKAYA CASE

  • Using the Kirchhoff analogy, the stability and tifurcation of a thinelastic rod in Kovalevskaya case is discussed inthis paper. The analytical integrals of Kirchhoff equations arederived, and a qualitative analysis is conducted for the special caseof a twistless rod when the principal axes of the cross section iscoincident with the Frenet axes.It is shown that the Greenhillcriterion for the straight rod with a circular cross section under theaction of tension and torsion is also valid for the rod with anoncircular cross section in Kovalevskaya case.
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