Multi-mode quasi-static excitation for systems with nonlinear joints

Singh, Aabhas; Allen, Matthew S.; Kuether, Robert J.

doi:10.1016/j.ymssp.2022.109601

Title: Multi-mode quasi-static excitation for systems with nonlinear joints

Journal Article · Wed Feb 15 00:00:00 EST 2023 · Mechanical Systems and Signal Processing

DOI:https://doi.org/10.1016/j.ymssp.2022.109601· OSTI ID:1889393

^[1];

^[2]; Kuether, Robert J. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Univ. of Wisconsin-Madison, Stoughton, WI (United States)

Finite element models can be used to model and predict the hysteresis and energy dissipation exhibited by nonlinear joints in structures. As a result of the nonlinearity, the frequency and damping of a mode is dependent on excitation amplitude, and when the modes remain uncoupled, quasi-static modal analysis has been shown to efficiently predict this behavior. However, in some cases the modes have been observed to couple such that the frequency and damping of one mode is dependent on the amplitude of other modes. To model the interactions between modes, one must integrate the dynamic equations in time, which is several orders of magnitude more expensive than quasi-static analysis. This work explores an alternative where quasi-static forces are applied in the shapes of two or more modes of vibration simultaneously, and the resulting load–displacement curves are used to deduce the effect of other modes on the effective frequency and damping of the mode in question. This methodology is demonstrated on a simple 2D cantilever beam structure with a single bolted joint which exhibits micro-slip nonlinearity over a range of vibration amplitudes. The predicted frequency and damping are compared with those extracted from a few expensive dynamic simulations of the structure, showing that the quasi-static approach produces reasonable albeit highly conservative bounds on the observed dynamics. This framework is also demonstrated on a 3D structure where dynamic simulations are infeasible.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1889393

Report Number(s):: SAND2022-12019J; 709607

Journal Information:: Mechanical Systems and Signal Processing, Vol. 185; ISSN 0888-3270

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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