Open AccessStatic analysis of multi-support spindle shafts with nonlinear elastic bearings
Author(s) -
Oleksiy Kyrkach,
Havin Valerij Havin,
Borys Kyrkach
Publication year - 2021
Publication title -
vestnik nacionalʹnogo tehničeskogo universiteta "hpi". dinamika i pročnostʹ mašin
Language(s) - English
Resource type - Journals
ISSN - 2078-9130
DOI - 10.20998/2078-9130.2021.2.248079
Subject(s) - timoshenko beam theory , nonlinear system , bearing (navigation) , stiffness , structural engineering , matlab , beam (structure) , static analysis , computer science , engineering , physics , artificial intelligence , quantum mechanics , operating system
In this paper a mathematical model and computational tool are developed for the static analysis of multi-bearing spindle shafts with nonlinear elastic supports. Based on the Timoshenko beam theory a resolving system of equations is obtained that takes into account the nonlinear dependence of the bearing stiffness on the reaction forces acting upon them. A solution method is proposed and appropriate software is developed that implements the static analysis of multi-support spindle shafts with non-linearly elastic bearings in MATLAB environment.
Key words: spindle, shaft, nonlinear elastic support, multi-bearing, nonlinear elastic stiffness, Timoshenko beam.