On the lateral vibrations of an elastic rod with varying compressive force | Zendy

Bogoljub Stanković | Zendy; Teodor M. Atanacković | Zendy

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On the lateral vibrations of an elastic rod with varying compressive force

Author(s) -

Bogoljub Stanković,

Teodor M. Atanacković

Publication year - 2004

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam0402135a

Subject(s) - axial symmetry , vibration , inertia , boundary value problem , mechanics , euler's formula , stability (learning theory) , physics , materials science , structural engineering , classical mechanics , mathematical analysis , mathematics , acoustics , engineering , computer science , machine learning

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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