Nonlinear model identification of a frictional contact support

Ahmadian, Hamid; Jalali, Hassan; Pourahmadian, Fatemeh

doi:10.1016/j.ymssp.2010.06.007

Cited by 29 publications

(8 citation statements)

References 21 publications

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“…The dynamic response of the structure is affected by the behavior of the contact interface at the frictional support. At low excitation amplitudes, the contact interface is in stick regime and the structure behaves linearly (Ahmadian et al, 2010). Nonlinearities arise when the amplitude of the external applied force is increased, which causes the beam end to slip.…”

Section: Application To a Contact Interface 41 Experimental Resultsmentioning

confidence: 99%

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Nonlinearity identification using sensitivity of frequency response functions

Jalali

Bonab

2012

Journal of Vibration and Control

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Nonlinearities in mechanical systems demand extensive efforts both in modeling their dynamics and identification of their parameters. In this paper an identification approach is proposed for nonlinear multi-degree-of-freedom systems when there is a single nonlinear element in the system and its location is known. The proposed method is an extension of the frequency response function (FRF) sensitivity method used in the linear systems. The method uses measured nonlinear FRFs and employs a reduced order model for sensitivity calculations. Numerical and experimental case studies are used to verify the accuracy of the proposed method.

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Section: Application To a Contact Interface 41 Experimental Resultsmentioning

confidence: 99%

“…In fact, distortion of the FRFs and deviation of their resonant point from the resonant point of linear FRF show the nonlinearity in stiffness characteristics. In contrast, when the response amplitude constant method is used, the FRFs are similar to linear FRFs (Ahmadian et al, 2010).…”

Section: Problem Statement 21 Frfs Of a Nonlinear Systemmentioning

confidence: 99%

Nonlinearity identification using sensitivity of frequency response functions

Jalali

Bonab

2012

Journal of Vibration and Control

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“…The mode shapes of the reference linear system or the nonlinear normal modes can be used as trial functions in Galerkin method. Details about nonlinear normal modes calculation and reference linear system construction can be found in [34]. In order to implement the Galerkin method, the expansion series in Eq.…”

Section: Experimental Case Study and Mathematical Modelingmentioning

confidence: 99%

“…t e , remains unchanged. Ahmadian et al [34] showed that for the same contact interface 0 t e | . This is used in next section to develop a relation which considers the variation of the contact tangential stiffness in stick vs. the response amplitude level.…”

Section: Figure (5) Indicates That After 20 Generations the Minimizatmentioning

confidence: 99%

Modeling the interaction between contact mechanisms in normal and tangential directions

Bazrafshan

Ahmadian

Jalali

2014

International Journal of Non-Linear Mechanics

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“…In the case of a strongly nonlinear dependence of the amplitude of vibrations on the resistance forces, it is impossible to get the analytic solution of the problem and, hence, there are no general procedures aimed at the determination of the dynamic characteristics of the process of vibration. The outlined problem is quite urgent for engineering [5]. However, in the general case, it was solved only for a fairly narrow class of vibration systems [2,6,7].…”

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confidence: 99%

Investigation of Bending Vibrations in Voigt–Kelvin Bars with Regard for Nonlinear Resistance Forces

Пукач¹

2016

J Math Sci

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We present a procedure aimed at the qualitative investigation of the solution of a mathematical model of bending vibrations of viscoelastic bodies under the action of dissipative forces and nonlinear resistance forces in a bounded domain. This procedure is based of the general approaches of the theory of nonlinear boundary-value problems and the application of the Galerkin method and enables one to substantiate the correctness of the solution of the model and use approximate methods for its investigation. Urgency of the Problem and Survey of the Main ResultsThe mathematical models of vibration systems that describe actual technological processes are mainly based on nonlinear differential equations. The principal difficulties encountered in the analytic investigation of the mathematical models of dynamic processes are connected with their nonlinearity because, only on the basis of the analysis of solutions (exact or approximate), one can estimate the influence of the parameters of systems on the dynamic phenomena, predict resonances even in the stage of design, and choose the optimal strength characteristics of machine parts and units. As the most efficient analytic methods for the investigation of quasilinear vibration systems, we can mention the Poincaré method, the van der Pol method, and the KrylovBogolyubov-Mitropol'skii asymptotic method (see, e.g., [3,4]). At the same time, the advances of engineering and the implementation of fast machine building require the formulation and solution of new problems for which the corresponding mathematical models cannot be investigated by the asymptotic methods of nonlinear mechanics. These class of problems includes the problems of vibration of flexible elements of belt and chain gears, tape systems for data recording and reproduction, conveyer lines, various types of rope tows, paperrolling machines, equipment for winding metallic strips, wires, and threads, equipment for drilling oil and gas wells, pipelines, etc. For the major part of applied problems, the action of generalized forces of internal dissipation in vibration systems is obvious. Thus, in particular, bending waves in Voigt-Kelvin bars are described by a linear equation of the fifth order [1, p. 60] taking into account the influence of dissipative forces on the dynamic process.The present paper is devoted to the qualitative investigation of the mathematical model of bending vibrations in Voigt-Kelvin bars under the action of nonlinear resistance forces. In the case of a strongly nonlinear dependence of the amplitude of vibrations on the resistance forces, it is impossible to get the analytic solution of the problem and, hence, there are no general procedures aimed at the determination of the dynamic characteristics of the process of vibration. The outlined problem is quite urgent for engineering [5]. However, in the general case, it was solved only for a fairly narrow class of vibration systems [2,6,7]. In [7], the problem of existence of weak solutions of mixed problems was studied in a bounded domain for a ...

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Nonlinear model identification of a frictional contact support

Cited by 29 publications

References 21 publications

Nonlinearity identification using sensitivity of frequency response functions

Nonlinearity identification using sensitivity of frequency response functions

Modeling the interaction between contact mechanisms in normal and tangential directions

Investigation of Bending Vibrations in Voigt–Kelvin Bars with Regard for Nonlinear Resistance Forces

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