Autoparametric Oscillations with Delays in Elastic and Frictional Forces

Alifov, A. A.

doi:10.3103/s1052618821020023

Cited by 2 publications

(2 citation statements)

References 7 publications

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“…( 6) have a limited range of definition + > 0 , < , . Nowadays the paper is published that takes into account delay of friction forces in depend on variation of deformational displacement, but in modeling of dynamic system the author used the model of pure time delay [20].…”

Section: Example Of the System And Its Propertiesmentioning

confidence: 99%

“…In recent years, several studies have been published that consider the conditions for the appearance of tori and strange (chaotic) attractors [10], [19]. Various ways of self-excitation are considered, including those associated with the formation of a time-delay argument [20]. In recent years, particularly great interest has been paid to the study of the stability and properties of the attracting sets of deformation displacements in friction systems during cutting [21]- [28].…”

Section: Introductionmentioning

confidence: 99%

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Self-organization and evolution in dynamic friction systems

Gvindjiliya¹,

Zakovorotny²

2021

J. vibroeng.

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The dynamic features of the friction process of the contacting pairs affect their durability and functional suitability. There-fore, the problems of their dynamics and vibrational activity always attract the attention of researchers in the field of tribology. It is known that self-organization processes take place during friction, such as the formation of selective transfer phenom-ena during friction, formation of equilibrium roughness. But known studies do not take into account changes in the dynamic properties of the system in the process of its functioning. The primary sources of self-organization are energetic in nature, but the relationship of these phenomena with the dynamic properties of the system has not been explained, and their modeling has not yet been performed. The paper presents the results of experimental and mathematical modeling of evolutionary changes of friction system due to the power of irreversible transformations of energy input to friction zone, which characterizes the goal of research. In order to achieve the goal, the paper deals with the mathematical modeling of the processes of self-organization in a dynamic friction system in combination with the analysis of the equilibrium of the system, its stability, and the manifolds formed in the vicinity of the equilibrium. It is shown that the proposed mathematical models are integro-differential functionally coupled equations that describe self-organization. Examples are given of dynamic restructuring of the friction system, including bifurcations of the attracting sets of its deformation displacements along the trajectory of the friction forces work. The paper briefly presents the results of the experimental study of the vibration characteristics of the contacting pairs during the development of their wear by the example of two systems: steel-brass and steel-glycerin-brass. It is shown that in the system of friction, new properties always establish naturally due to the work of forces. These properties are determined by the evolutionary change of the parameters of the dynamic coupling and the attractive sets of deformation displacements. The study and experiments show that measurement of parameters available for estimation of some coordinates in the dynamic friction system allows one to solve the problem of non-decoupled dynamic monitoring of the state of friction units and also opens new ways of improvement of friction units.

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Section: Example Of the System And Its Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-organization and evolution in dynamic friction systems

Gvindjiliya¹,

Zakovorotny²

2021

J. vibroeng.

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Influence of different delays on mixed types of oscillations under limited excitation

Alifov

2023

jour

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This review summarizes the findings of some published studies that have explored the influence of various delays (elasticity, damping, and self-oscillatory mechanism of excitation) on the dynamics of classes (or types) of mixed oscillations (MO) without and with consideration of the interaction between the oscillating system and the energy source. A general holistic framework was provided for how such delays, both separately and in combination, affect the dynamics of MOs. A unified computational scheme (model) used in the works studied made it easy to understand and compare the results of this influence on different types of MOs. With the account of the interaction with the energy source, the known calculation scheme (or model) of a mechanical frictional self-oscillating system serves as a unified basis for considering all types of MOs. Nonlinear differential equations of motion valid for all types of MOs with their respective solutions were presented, from which the relations for any certain type of MO are derived as special cases. Equations of unsteady motion and relations to calculate the amplitude and phase of stationary oscillations, the velocity of the energy source and the load of the oscillating system on it, as well as the stability conditions of stationary oscillations were given. The results of the calculations carried out to gain insight into the influence of delays on the system dynamics were discussed. Overall, the calculations show that the interaction between the forces with delay and the forces in the energy source is at the core of a variety of phenomena. Different delays in the same system change the shape of the amplitude-frequency curves, shift them, and influence the stability of motion.

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Autoparametric Oscillations with Delays in Elastic and Frictional Forces

Cited by 2 publications

References 7 publications

Self-organization and evolution in dynamic friction systems

Self-organization and evolution in dynamic friction systems

Influence of different delays on mixed types of oscillations under limited excitation

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