Longitudinal Vibrations of Seismic Disturbance Vertical Bar

DOI

10.2991/isees-18.2018.97How to use a DOI?

Keywords

harmonic and random vibrations, continually discrete system, spectral density of random process, discrete line spectrum of dispersions.

Abstract

Longitudinal vibrations of vertical bar of harmonic and random disturbance are considered. Mathematical models of free, forced harmonic and random vibrations are described. The methods of d'Alembert, separation of variables and finite differences are used. To determine the eigenvalues of boundary value problem, a high-precision and tabular analytical method is proposed. The eigenfunctions, amplitude-frequency characteristics of kinematically excited harmonic and random vibrations are discussed. The analogies and connections between the solutions of deterministic and stochastic problems are identified. A number of conclusions are made that contribute to the theoretical and methodological foundations of the interdisciplinary interaction of research in the structural mechanics and seismology.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Kh.P. Kulterbaev
AU  - L.A. Baragunova
AU  - M.M. Shogenova
AU  - M.A. Shardanova
AU  - I.M. Abdul Salam
PY  - 2018/12
DA  - 2018/12
TI  - Longitudinal Vibrations of Seismic Disturbance Vertical Bar
BT  - Proceedings of the International Symposium “Engineering and Earth Sciences: Applied and Fundamental Research” (ISEES 2018)
PB  - Atlantis Press
SP  - 515
EP  - 520
SN  - 2352-5401
UR  - https://doi.org/10.2991/isees-18.2018.97
DO  - 10.2991/isees-18.2018.97
ID  - Kulterbaev2018/12
ER  -