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THEORETICAL AND APPLIED MECHANICS |
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TEORIJSKA I PRIMENJENA MEHANIKA 2004 Vol.31 (2), pp.135-152 |
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Summary: |
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On the lateral vibrations of an elastic rod with varying compressive force
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We study lateral vibration of a simply supported axially
compressed elastic rod with rotary inertia. The axial force is
assumed to be a function of time. Stability of the solution is
examined. The conditions are examined under which the temporal
evolution of the system is a slowly varying and regularly slowly
varying function. Also some properties of the generalized solution
to the problem are examined. Our results on stability boundary
obtained by dynamic, method agree with the results obtained by
static (Euler) method. |
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