A mathematical model for the accumulation of fatigue in bars subjected to lateral vibrations

Cardei, Petru; Sfiru, Raluca; Muraru, Vergil
January 2019
International Conference on Thermal Equipment, Renewable Energy ;2019, Vol. 112, p1
Conference Proceeding
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.


Related Articles

  • Fatigue life study of ITO/PET specimens in cyclic bending tests. Li, Tse-Chang; Lin, Jen-Fin // Journal of Materials Science: Materials in Electronics;Jan2015, Vol. 26 Issue 1, p250 

    A commercial micro-compression tester and a self-designed bending tester in reciprocating motion are adopted to study the fatigue resistance and thus fatigue life of indium tin oxide (ITO) films deposited on a poly(ethylene terephthalate) substrate with various prestrain levels. The fatigue life...

  • Effect of Water Temperature on Cyclic Fatigue Properties of Glass-fiber-reinforced Hybrid Composite Resin and Its Fracture Pattern After Flexural Testing. Kuroda, Soichi; Shinya, Akikazu; Vallittu, Pekka K.; Nakasone, Yuji; Shinya, Akiyoshi // Journal of Adhesive Dentistry;2013, Vol. 15 Issue 1, p19 

    Purpose: To evaluate in vitro the influence of dynamic loading applied to a glass-fiber-reinforced hybrid composite resin on its flexural strength in a moist, simulated oral environment. Materials and Methods: Three-point flexural strength specimens were subjected to cyclic loading in water at...

  • A mathematical framework of high-order surface stresses in three-dimensional configurations. Chen, Tungyang; Chiu, Min-Sen // Acta Mechanica;Apr2014, Vol. 225 Issue 4/5, p1043 

    The mathematical behavior of a curved interface between two different solid phases with surface or interface stress effects is often described by the generalized Young-Laplace (YL) equations. The generalized YL equations can be derived by considering force equilibrium of a thin interphase with...

  • Parametric Coordination and Simulation Study on Nonstandard Spur Gears. Qian tang; Xiaofeng Jin; Qiulei Fan // Jordan Journal of Mechanical & Industrial Engineering;Apr2014, Vol. 8 Issue 2, p50 

    This paper presents the parametric collaborative rules of nonstandard spur gear in order to improve the bending strength. For numerical work, equation between fillet radius and pressure angle is established according to the gearing theory. Also, the mechanism of action that pressure angle,...

  • Development of complex mathematical model of hydraulic drive, sensitive to the loading variations. Alexandra, Ivanovskaya; Vladimir, Popov; Elena, Bogatyreva; Bidenko, Sergey // Vibroengineering Procedia;Jun2019, Vol. 25, p171 

    In this paper the hydraulic drive sensitive to the change of loading is offered to use under special conditions. Its distinctive feature is a smooth response to the abrupt change of loading from towed and lifted cargo, the impact of hydrometeorological factors. All this will improve the...

  • FLUCTUATION OF THE DYNAMIC LOAD NATURE IN THE POWER TRANSMISSION TRAIN. Damjanović, Milanko; Popović, Vladimir; Simović, Sreten // Tehnicki vjesnik / Technical Gazette;May/Jun2016, Vol. 23 Issue 3, p741 

    This paper analyses the impact of the selected parameters: operating mode, design parameters and condition of power transmission system onto the dynamic load of some on its components. Apart from analytical considerations, we also offer the experimental results related to the influence of the...

  • Vertical Hydrodynamic Loads on the Elements of Hydrotechnical Constructions. Leschenko, Sergey V.; Makarov, Konstantin N. // European Researcher;2013, Vol. 48 Issue 5-1, p1189 

    The mathematical model of propagating waves interaction with horizontal elements of sea hydraulic engineering constructions is offered. The model allows to calculate vertical loads of constructions and to provide their stability at wave influence.

  • Progressive damage analysis of laminated composite plate subjected to bending fatigue. Khanmohammadi, Mohammad; Ahmadi, Isa // Modares Mechanical Engineering;2015, Vol. 15 Issue 2, p72 

    In this paper, a laminated composite plate that was subjected to bending fatigue load was modeled based on the strength degradation theory of the composites. Also, effects of the fiber directions in the layers and layer stacking on the fatigue life of the plate were studied. First, the governing...

  • Optimal Selection of Addendum Modification Coefficients of Involute Cylindrical Gears. Xueyi Li; Shoubo Jiang; Qingliang Zeng // Journal of Computers;Aug2013, Vol. 8 Issue 8, p2156 

    Based on the principles of equalized sliding coefficients and equalized teeth bending strength, the optimization mathematical model for calculating and allocating the addendum modification coefficients of involute cylindrical gear is firstly established. Then the measures to calculate the tooth...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics