Observations of modal coupling due to bolted joints in an experimental benchmark structure. (1st January 2022)

• Record Type: Journal Article
• Authors: Wall, Mitchell; Allen, Matthew S.; Kuether, Robert J.
• Is Part Of: Mechanical systems and signal processing. Volume 162(2022)
• Publication Date: 2022-01-01
• Subjects: Averaging method -- Modal model -- Bolted joint -- Modal coupling -- Free-decay backbone curves; Structural dynamics -- Periodicals; Vibration -- Periodicals; Constructions -- Dynamique -- Périodiques; Vibration -- Périodiques; Structural dynamics; Vibration; Periodicals; 621
• DOI: 10.1016/j.ymssp.2021.107968
• Languages: English
• ISSNs: 0888-3270

Abstract

Highlights: Experimental measurements show coupling between modes due to friction in bolted joints. One-way coupling is observed where Mode 2 affects Mode 1 but not the reverse. Micro-scale geometry is carefully characterized and included in finite element models. Nonlinear contact simulations predict natural frequency versus preload. Abstract: The goal of this paper is to present a set of measurements from a benchmark structure containing two bolted joints to support future efforts to predict the damping due to the joints and to model nonlinear coupling between the first two elastic modes. Bolted joints introduce nonlinearities in structures, typically causing a softening in the natural frequency and an increase in damping because of frictional slip between the contact interfaces within the joint. These nonlinearities pose significant challenges when characterizing the response of the structure under a large range of load amplitudes, especially when the modal responses become coupled, causing the effective damping and natural frequency to not only depend on the excitation amplitude of the targeted mode, but also the relative amplitudes of other modes. In this work, two nominally identical benchmark structures, known in some prior works as the S4 beam, are tested to characterize their nonlinear properties for the first two elastic modes. Detailed surface measurements are presented and validated through finite element analysis and reveal distinct contact interactions between the two sets of beams. The free-free test structures are excited with an impact hammer and the transient response is analyzed to extract the damping and frequency backbone curves. A range of impact amplitudes and drive points are used to isolate a single mode or to excite both modes simultaneously. Differences in the nonlinear response correlate with the relative strength of the modes that are excited, allowing one to characterize mode coupling. Each of the beams shows different nonlinear properties for each mode, which is attributed to the different contact pressure distributions between the parts, although the mode coupling relationship is found to be consistent between the two. The test data key finding are presented in this paper and the supporting data is available on a public repository for interested researchers.