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Title: Identification of a Lumped Element Modeled Ring Shaped Structure Via Peak Picking Method
Authors: Seyrek, P.
Arısoy, D.O.
Karapıstık, G.
Erözden, A.K.
Karataş, H.Ç.
Ünver, H.Ö.
Keywords: Modal Analysis
Parameter Estimation
System identification
Eigenvalues and eigenfunctions
Frequency estimation
Frequency response
Lumped parameter networks
Natural frequencies
Quality control
Religious buildings
Coupling terms
Damping ratio
Frequency ratios
Lumped element
Parameters estimation
Peak-picking method
Quality factors
Ring shaped structures
Modal analysis
Issue Date: 2023
Publisher: American Society of Mechanical Engineers (ASME)
Abstract: This paper presents an application of a well-known modal system identification method (i.e., Peak Picking Method) on ring shaped structures with imbalances in terms of natural frequency and damping ratio mismatches, in-silico. To the best of our knowledge, the application of this method to ring shaped structures is novel in the literature. The system is modeled at secondary vibration pattern (n=2) via zero dimension lumped element modeling approach. Hence the model has two orthogonal modes (i.e., 2-DOF) with coupling terms of natural frequency and time constant mismatch azimuth angles in-between. Natural frequencies and damping ratios in modal coordinates are estimated using Peak Picking Method based on Real and Imaginary parts of Direct and Cross Frequency Response Functions (FRFs). For this purpose, sine-sweep force signals are applied to the model and displacement values of the both modes are collected. Additionally, eigenvalue decomposition method is utilized to obtain the system characteristic as well as to derive system parameters and coupling terms in generalized coordinates. This identification approach is applied to model with varying quality factors (ranging between 2,500-1,000,000), natural frequencies (ranging between 500-3501 Hz) with numerous natural frequency differences of 0.2 Hz, 1 Hz, and 5 Hz, and different natural frequency azimuth mismatch angle values of π/6 and π/12 while keeping the time constant azimuth mismatch angle value at π/8 for performance evaluations. Results show that Peak Picking Method can accurately estimate the natural frequencies in all scenarios, on the other hand damping ratio estimations present higher errors in lower quality factors. Also, both azimuth mismatch angle estimations always converge to the highest value given, which is a shortcoming of this method. Copyright © 2023 by ASME.
Description: Computers and Information in Engineering Division;Design Engineering Division
ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2023 -- 20 August 2023 through 23 August 2023 -- 194603
ISBN: 9780791887400
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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