Open AccessThe problem of mathematical modeling of a vibration protected rod under kinematic exitations
Author(s) -
Mirziyod Mirsaidov,
О. М. Dusmatov,
М. U. Khodjabekov
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1030/1/012069
Subject(s) - vibration , kinematics , dissipative system , bond graph , nonlinear system , work (physics) , dynamic vibration absorber , equations of motion , function (biology) , control theory (sociology) , classical mechanics , structural engineering , mechanics , computer science , physics , mathematics , engineering , mechanical engineering , acoustics , control (management) , quantum mechanics , combinatorics , evolutionary biology , artificial intelligence , biology
In this paper, we consider the problem of mathematical modeling of nonlinear vibrations of a rod with distributed parameters and elastic-dissipative characteristics of the hysteresis type, and also having a liquid section dynamic absorber under kinematic excitations. The method of obtaining the differential equations of motion of the system protected from vibrations under consideration in the work using the structural method -the method of bond graph. An expression is obtained for the transfer function of a vibration-protective system for analyzing the dynamics and stability of the system and evaluating the effectiveness of a dynamic absorber.