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Title: Shaker-structure interaction modeling and analysis for nonlinear force appropriation testing

Abstract

Nonlinear force appropriation is an extension of its linear counterpart where sinusoidal excitation is applied to a structure with a modal shaker and phase quadrature is achieved between the excitation and response. While a standard practice in modal testing, modal shaker excitation has the potential to alter the dynamics of the structure under test. Previous studies have been conducted to address several concerns, but this work specifically focuses on a shaker-structure interaction phenomenon which arises during the force appropriation testing of a nonlinear structure. Under pure-tone sinusoidal forcing, a nonlinear structure may respond not only at the fundamental harmonic but also potentially at sub- or superharmonics, or it can even produce aperiodic and chaotic motion in certain cases. Shaker-structure interaction occurs when the response physically pushes back against the shaker attachment, producing non-fundamental harmonic content in the force measured by the load cell, even for pure tone voltage input to the shaker. This work develops a model to replicate these physics and investigates their influence on the response of a nonlinear normal mode of the structure. Experimental evidence is first provided that demonstrates the generation of harmonic content in the measured load cell force during a force appropriation test. Thismore » interaction is replicated by developing an electromechanical model of a modal shaker attached to a nonlinear, three-mass dynamical system. Several simulated experiments are conducted both with and without the shaker model in order to identify which effects are specifically due to the presence of the shaker. Finally, the results of these simulations are then compared to the undamped nonlinear normal modes of the structure under test to evaluate the influence of shaker-structure interaction on the identified system’s dynamics.« less

Authors:
 [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1783767
Alternate Identifier(s):
OSTI ID: 1815326
Report Number(s):
SAND-2021-5781J
Journal ID: ISSN 0888-3270; 696159
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Mechanical Systems and Signal Processing
Additional Journal Information:
Journal Volume: 162; Journal ID: ISSN 0888-3270
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; nonlinear normal modes; shaker structure interaction; nonlinear force appropriation; phase quadrature; phase control; structural dynamics

Citation Formats

Pacini, Benjamin R., Kuether, Robert J., and Roettgen, Daniel R. Shaker-structure interaction modeling and analysis for nonlinear force appropriation testing. United States: N. p., 2021. Web. doi:10.1016/j.ymssp.2021.108000.
Pacini, Benjamin R., Kuether, Robert J., & Roettgen, Daniel R. Shaker-structure interaction modeling and analysis for nonlinear force appropriation testing. United States. https://doi.org/10.1016/j.ymssp.2021.108000
Pacini, Benjamin R., Kuether, Robert J., and Roettgen, Daniel R. Sat . "Shaker-structure interaction modeling and analysis for nonlinear force appropriation testing". United States. https://doi.org/10.1016/j.ymssp.2021.108000. https://www.osti.gov/servlets/purl/1783767.
@article{osti_1783767,
title = {Shaker-structure interaction modeling and analysis for nonlinear force appropriation testing},
author = {Pacini, Benjamin R. and Kuether, Robert J. and Roettgen, Daniel R.},
abstractNote = {Nonlinear force appropriation is an extension of its linear counterpart where sinusoidal excitation is applied to a structure with a modal shaker and phase quadrature is achieved between the excitation and response. While a standard practice in modal testing, modal shaker excitation has the potential to alter the dynamics of the structure under test. Previous studies have been conducted to address several concerns, but this work specifically focuses on a shaker-structure interaction phenomenon which arises during the force appropriation testing of a nonlinear structure. Under pure-tone sinusoidal forcing, a nonlinear structure may respond not only at the fundamental harmonic but also potentially at sub- or superharmonics, or it can even produce aperiodic and chaotic motion in certain cases. Shaker-structure interaction occurs when the response physically pushes back against the shaker attachment, producing non-fundamental harmonic content in the force measured by the load cell, even for pure tone voltage input to the shaker. This work develops a model to replicate these physics and investigates their influence on the response of a nonlinear normal mode of the structure. Experimental evidence is first provided that demonstrates the generation of harmonic content in the measured load cell force during a force appropriation test. This interaction is replicated by developing an electromechanical model of a modal shaker attached to a nonlinear, three-mass dynamical system. Several simulated experiments are conducted both with and without the shaker model in order to identify which effects are specifically due to the presence of the shaker. Finally, the results of these simulations are then compared to the undamped nonlinear normal modes of the structure under test to evaluate the influence of shaker-structure interaction on the identified system’s dynamics.},
doi = {10.1016/j.ymssp.2021.108000},
journal = {Mechanical Systems and Signal Processing},
number = ,
volume = 162,
place = {United States},
year = {Sat May 15 00:00:00 EDT 2021},
month = {Sat May 15 00:00:00 EDT 2021}
}

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