Modelling Hysteresis of Energy Dissipation at Vibration of Mechanical Systems

Данилин, А. Н.; Кузнецова, Е. С.; Rabinsky, Lev N.

doi:10.15593/perm.mech/2014.4.02

Cited by 5 publications

(5 citation statements)

References 7 publications

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“…One practical example of natural hysteresis is the galloping of the power lines, which is a major concern for both engineers and utilities [14,[35][36][37]. It is caused by strong winds and icing, which invoke self-oscillations, reminiscent of aircraft wing flutter.…”

Section: Pendulum Torsional Damper and Detunermentioning

confidence: 99%

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Hysteresis Modelling of Mechanical Systems at Nonstationary Vibrations

Данилин

Shalashilin

2018

Mathematical Problems in Engineering

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This paper considers and reviews a number of known phenomenological models, used to describe hysteretic effects of various natures. Such models consider hysteresis system as a "black box" with experimentally known input and output, related via formal mathematical dependence to parameters obtained from the best fit to experimental data. In particular, we focus on the broadly used Bouc-Wen and similar phenomenological models. The current paper shows the conditions which the Bouc-Wen model must meet. An alternative mathematical model is suggested where the force and kinematic parameters are related by a first-order differential equation. In contrast to the Bouc-Wen model, the right hand side is a polynomial with two variables representing hysteresis trajectories in the process diagram. This approach ensures correct asymptotic approximation of the solution to the enclosing hysteresis cycle curves. The coefficients in the right side are also determined experimentally from the hysteresis cycle data during stable oscillations. The proposed approach allows us to describe hysteretic trajectory with an arbitrary starting point within the enclosed cycle using only one differential equation. The model is applied to the description of forced vibrations of a low-frequency pendulum damper.

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Section: Pendulum Torsional Damper and Detunermentioning

confidence: 99%

“…The values of , , , 0 , , , , and are all identified experimentally. Various modifications of (2) are known, which allow the description of many physical hysteretic processes with relative accuracy [12,[27][28][29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Hysteresis Modelling of Mechanical Systems at Nonstationary Vibrations

Данилин

Shalashilin

2018

Mathematical Problems in Engineering

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“…The Bouc-Wen (BWM) model is widely used to describe a hysteresis [1][2][3][4][5][6][7][8][9][10][11]. System with BWM has the form ( , , ) ( ) mx cx F x z t f t…”

Section: Introductionmentioning

confidence: 99%

“…Examples [11] are known when BWM parameters estimations do not agree with results obtained for other inputs. Such examples confirm the identification ambiguity which causes instability of the model and emphasize that the Bouc-Wen model should be stable in order to provide an adequate description of a physical process [12].…”

Section: Introductionmentioning

confidence: 99%

Identification of System with Bouc-Wen Hysteresis

Karabutov

2019

EPJ Web Conf.

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A method of adaptive identification of parameters for a system with Bouc-Wen hysteresis has been developed. The method is based on the use of adaptive observers and resolves the problem of stability of the identification system. Adaptive algorithms of identification were obtained using the Lyapunov second method. The stability proof of the adaptive system is based on the application of Lyapunov vector functions. Adaptive algorithms for adjusting model parameters were developed obtained and finiteness of trajectories in the adaptive system was pointed out.

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“…A method of energy averaging treating each wire layer as an equivalent anisotropic cylindrical shell has been proposed in (Shalashilin et al, 2005;Danilin et al, 2011a;Danilin et al, 2011b). As a result, conductors are considered as systems of cylindrical shells embedded in each other and interacting by means of pressure and friction forces.…”

Section: Introductionmentioning

confidence: 99%

Deformation of the Helical Type Wire Structures

Danilin¹,

Rabinskiy²,

Zhavoronok³

2019

PTQ

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Analysis of overhead power transmission lines (OPL) involves the simulation of statics and oscillation. Solving such problems strictly requires the proper accounting of the internal conductor structure, in particular for power safety and reliability systems of information-telecommunication supply of aerodromes and aircraft systems, as well as for overhead transmission lines subjected to intense wind, especially in icing conditions. Due to the complexity of wire structures, known issues arise in the estimates of their deformations, stiffness, bearing capacity, etc. For instance, the bending stiffness of the conductor can vary considerably. Consequently, the stiffness can vary along the conductor axis as well as in time. This paper proposes a new deformation model of wire structures similar to typical OPL conductors. Such structures include not only conductors and cables, but spiral clamps intended for tension, suspension, joining, protection, and repair of conductors. Based on energy averaging each wire layer is considered as an equivalent elastic anisotropic cylindrical shell. Therefore a conductor or a spiral clamp can be modeled as a system of shells nested into each other and interacting by means of pressure and friction forces. In the process of the study, calculations were made that made it possible to formulate equations for the matrices of flexibility and cruelty of spiral structures. The interaction problem for a tension clamp with an external wire layer of a conductor has been formulated and solved. Finally, the mechanism of the force transfer from the clamp on the conductor has been investigated.

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Modelling Hysteresis of Energy Dissipation at Vibration of Mechanical Systems

Cited by 5 publications

References 7 publications

Hysteresis Modelling of Mechanical Systems at Nonstationary Vibrations

Hysteresis Modelling of Mechanical Systems at Nonstationary Vibrations

Identification of System with Bouc-Wen Hysteresis

Deformation of the Helical Type Wire Structures

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