Random Oscillations of the Vertical Continual and Discrete Rod under Seismic Influences

Abstract:

Stationary longitudinal vibrations of the vertical rod, kinematically excited by deterministic and random processes, are considered. In a joint examination, these tasks have many similarities. An additional reason for considering both problems was that the results obtained in the deterministic problem can be used to study the problem in stochastic formulation. In solving specific examples, analytical and numerical methods of solution are used. The amplitudes and variances of the oscillations are found. Numerical examples show the effect of broadband input random processes on the dispersion of oscillations. It is pointed out that it is necessary to expand the subject of studying random oscillations taking into account the results obtained.

• Periodical: Materials Science Forum (Volume 931)
• Pages: 66-71
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.931.66
• Online since: September 2018
• Authors: Khusen P. Kulterbaev*, Lyalusya A. Baragunova, Maryana M. Shogenova
• Keywords: Random Longitudinal Oscillations, Random Process, Spectral Density, Vibrations of Vertical Rods

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