Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods

Limitations in determining the resonance frequency for large models, taking into account non-linearity in the form of contact, initiated work on the creation of a simplified method of estimating these resonance frequencies. The trend in this field is the use of time-domain methods with full contact,...

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Main Authors: Maciej Wnuk, Artur Iluk
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/18/9344
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author Maciej Wnuk
Artur Iluk
author_facet Maciej Wnuk
Artur Iluk
author_sort Maciej Wnuk
collection DOAJ
description Limitations in determining the resonance frequency for large models, taking into account non-linearity in the form of contact, initiated work on the creation of a simplified method of estimating these resonance frequencies. The trend in this field is the use of time-domain methods with full contact, or frequency-domain methods which take into account nonlinearity for specific cases. For simplification, classical modal analysis is often used, with boundary conditions taken into account or freeform vibrations, with neglected contact, or with tied contact areas, as though the contact was always closed. The presented approximation method is based on both types of such analysis and compensates for the error of both of the solutions. The method was elaborated with nonlinear dynamics simulations in the time domain. This work presents experimental verification of the method for a simple beam, and for more complex geometry—the satellite antenna panel.
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spelling doaj.art-0342a317278141b5aff843d2abce89592023-11-23T14:57:07ZengMDPI AGApplied Sciences2076-34172022-09-011218934410.3390/app12189344Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics MethodsMaciej Wnuk0Artur Iluk1Faculty of Mechanical Engineering, Wroclaw University of Science and Technology, Ignacego Łukasiewicza 5, 50-371 Wroclaw, PolandFaculty of Mechanical Engineering, Wroclaw University of Science and Technology, Ignacego Łukasiewicza 5, 50-371 Wroclaw, PolandLimitations in determining the resonance frequency for large models, taking into account non-linearity in the form of contact, initiated work on the creation of a simplified method of estimating these resonance frequencies. The trend in this field is the use of time-domain methods with full contact, or frequency-domain methods which take into account nonlinearity for specific cases. For simplification, classical modal analysis is often used, with boundary conditions taken into account or freeform vibrations, with neglected contact, or with tied contact areas, as though the contact was always closed. The presented approximation method is based on both types of such analysis and compensates for the error of both of the solutions. The method was elaborated with nonlinear dynamics simulations in the time domain. This work presents experimental verification of the method for a simple beam, and for more complex geometry—the satellite antenna panel.https://www.mdpi.com/2076-3417/12/18/9344non-linear vibrationsresonance frequencymodal analysisvibrations with contact
spellingShingle Maciej Wnuk
Artur Iluk
Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods
Applied Sciences
non-linear vibrations
resonance frequency
modal analysis
vibrations with contact
title Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods
title_full Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods
title_fullStr Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods
title_full_unstemmed Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods
title_short Estimation of Resonance Frequency for Systems with Contact Using Linear Dynamics Methods
title_sort estimation of resonance frequency for systems with contact using linear dynamics methods
topic non-linear vibrations
resonance frequency
modal analysis
vibrations with contact
url https://www.mdpi.com/2076-3417/12/18/9344
work_keys_str_mv AT maciejwnuk estimationofresonancefrequencyforsystemswithcontactusinglineardynamicsmethods
AT arturiluk estimationofresonancefrequencyforsystemswithcontactusinglineardynamicsmethods