Open AccessFree Transverse Oscillations of a Continuum-Discrete Vertical Rod
Author(s) -
Kh P. Kulterbaev,
L. A. Baragunova,
M. M. Shogenova
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/459/6/062096
Subject(s) - attenuation , boundary value problem , transverse plane , mathematical analysis , rod , physics , matlab , mathematics , ordinary differential equation , separation of variables , differential equation , classical mechanics , optics , computer science , medicine , alternative medicine , structural engineering , pathology , engineering , operating system
The spectral problem of transverse oscillations of high vertical continuum-discrete rods is considered, focused on the application of results in the problems of seismic oscillations. A mathematical model of free oscillations representing the boundary value problem for the hyperbolic differential equation is obtained, which is reduced to the Sturm-Liouville problem by the method of variable separation. Application of finite difference and coordinate descent methods in combination with visualization of calculations in Matlab environment gives own values and attenuation coefficients and further own functions.