E3S Web Conf.
Volume 112, 20198th International Conference on Thermal Equipment, Renewable Energy and Rural Development (TE-RE-RD 2019)
|Number of page(s)||10|
|Published online||20 August 2019|
A mathematical model for the accumulation of fatigue in bars subjected to lateral vibrations
INMA Bucharest, Computerized Engineering Department, 013813 Bucharest, Romania
* Corresponding author: petru_cardei @yahoo.com
The article presents a mathematical model for the phenomenon of fatigue accumulation in the slender bar subjected to lateral bending. The model is based on the Euler-Bernoulli type bar, a bi-linear elastic-plastic model and, for simulation of fatigue, a system of equations describing the decrease resistance parameters of the material: the ultimate strain and stress. In the article is exposes the bar response to two types of dynamic loads, as well as a fatigue test simulating process using the proposed model, which results in the Wöhler diagram of the material for the bending vibrations. The conclusions outline the outlook of the model as well as its shortcomings. The author expounds the advantages of the model, but the reader is also challenged to reflect on the opportunity of using mathematical models of great complexity.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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