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Research Papers

Methods of Identification of Definite Degenerated and Nonlinear Dynamic System Using Specially Programmed Nonharmonic Enforce

[+] Author and Article Information
Miroslaw Bocian

Department of Mechanics, Materials Science
and Engineering,
Wroclaw University of Science and Technology,
Smoluchowskiego 25,
Wroclaw 50-370, Poland
e-mail: miroslaw.bocian@pwr.edu.pl

Krzysztof Jamroziak

Department of Mechanics, Materials Science
and Engineering,
Wroclaw University of Science and Technology,
Smoluchowskiego 25,
Wroclaw 50-370, Poland
e-mail: krzysztof.jamroziak@interia.pl

Mariusz Kosobudzki

General Tadeusz Kosciuszko Military Academy
of Land Forces,
Czajkowskiego 109,
Wroclaw 51-150, Poland
e-mail: m.kosobudzki@wso.wroc.pl

Maciej Kulisiewicz

Faculty of Technology and Engineering,
Wroclaw University of Science and Technology,
Armii Krajowej 78,
Walbrzych 58-302, Poland
e-mail: maciej.kulisiewicz@pwr.edu.pl

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 25, 2016; final manuscript received February 8, 2017; published online May 31, 2017. Assoc. Editor: Davide Spinello.

J. Dyn. Sys., Meas., Control 139(8), 081012 (May 31, 2017) (6 pages) Paper No: DS-16-1367; doi: 10.1115/1.4036080 History: Received July 25, 2016; Revised February 08, 2017

The paper presents the new way of identification of complex nonlinear dynamic systems. The method has been explained with the use of a dynamic structure (degenerated one) with 1.5 degrees-of-freedom and some nonlinear restitution force. The applied method allows for the assessment of the dynamic behavior of material in a wide range of dynamic loads. The equation of energy balance when oscillations are set harmonic is applicable to the solution. It is possible when the loading force is adjustable. The method has been computer verified using a system with cubic spring characteristic.

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Figures

Grahic Jump Location
Fig. 1

The diagram of (a) the real system and (b) the model

Grahic Jump Location
Fig. 2

The diagram of the method applied to force harmonic oscillations of system (4)

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Fig. 3

The concept of the extortion of harmonic oscillations

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Fig. 4

The main idea of the presented identification method

Grahic Jump Location
Fig. 5

An example of the displacement from the place of the experiment for q(x) = c3x3: (a) the extortion of harmonic oscillations, (b) before the introduction of the corrective feedback, and (c) when the system is stabilized

Grahic Jump Location
Fig. 6

Examples of loops for intermittent vibrations of the system calculated with the use of the energy balance equation: (a), (d), (g), and (j) before the introduction of the corrective feedback; (b), (e), (h), and (k) during stabilizing the system when the correction of the control system is switched on; and (c), (f), (i), and (l) the system is stabilized after introducing the correction to control the system of excitation p(t)

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