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

Journal Article · · Mechanical Systems and Signal Processing
 [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1783767
Alternate ID(s):
OSTI ID: 1815326
Report Number(s):
SAND--2021-5781J; 696159
Journal Information:
Mechanical Systems and Signal Processing, Journal Name: Mechanical Systems and Signal Processing Vol. 162; ISSN 0888-3270
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (15)

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Force distortion in resonance testing of structures with electro-dynamic vibration exciters journal April 1979
Dynamic testing of nonlinear vibrating structures using nonlinear normal modes journal January 2011
A phase resonance approach for modal testing of structures with nonlinear dissipation journal November 2018
On the interaction of the responses at the resonance frequencies of a nonlinear two degrees-of-freedom system journal May 2010
Past, present and future of nonlinear system identification in structural dynamics journal April 2006
Estimating the degree of nonlinearity in transient responses with zeroed early-time fast Fourier transforms journal October 2010
Modal testing of nonlinear vibrating structures based on nonlinear normal modes: Experimental demonstration journal May 2011
Nonlinear characterization of a bolted, industrial structure using a modal framework journal February 2017
Measurement of nonlinear normal modes using multi-harmonic stepped force appropriation and free decay journal August 2016
Nonlinear system identification in structural dynamics: 10 more years of progress journal January 2017
Excitation power quantities in phase resonance testing of nonlinear systems with phase-locked-loop excitation journal November 2017
Application of control-based continuation to a nonlinear structure with harmonically coupled modes journal April 2019
Measurement of multivalued response curves of a strongly nonlinear system by exploiting exciter dynamics journal June 2020
On the Force Drop Off Phenomenon in Shaker Testing in Experimental Modal Analysis journal January 2002

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