Model reduction for systems with random parameters using spectral submanifolds

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Predicting the Variability of the Dynamics of Bolted Joints Using Polynomial Chaos Expansion

Predicting the variability of the dynamics of bolted joints using polynomial chaos expansion

This study conducts an extensive theoretical-experimental investigation into the nonlinear dynamical response of a base-excited initially curved panel clamped at two ends via bolted joints. A new distributed nonlinear joint stiffness model is proposed capable of exhibiting interconnected effects at various states of the contact interface. More specifically, the proposed model allows the control of the nonlinear softening behaviour of the panel through controlling the displacement threshold for micro-slip and new stick states, as well as the rate at which the micro-slip region develops. Due to the inclined angle of the clamping supports, the panel is slightly curved in its fastened arrangement. Hence, the panel is modelled as a shallow shell using Donnell’s nonlinear shallow shell theory, taking into account von Kármán strain nonlinearities, while retaining all in-plane and out-of-plane displacements. Structural damping is considered via use of the Kelvin–Voigt model. Taking into account the work of the nonlinear joint stiffness model, the partial differential equations governing the in-plane and out-of-plane motions of the panel are derived using the generalised Hamilton’s principle, which are then discretised into a reduced-order model using a two-dimensional Galerkin modal decomposition approach. For the experimental part, two nominally identical panels are considered and several tests are conducted through base excitation in the primary resonance region and the backbone curves are obtained directly via the Phase Lock Loop method. Extensive comparisons are conducted between experimental results and theoretical predictions for both backbone curves and time histories of the panel midpoint velocity and displacement. It is shown that the theoretical predictions are in very good agreement with the experimental results, with the proposed joint stiffness model being capable of predicting the significant variability in the experimental results. 

A nonlinear joint model for large-amplitude vibrations of initially curved panels: Reduced-order modelling and experimental validation

The Tribomechadynamics Research Challenge: Confronting Blind Predictions for the Linear and Nonlinear Dynamics of a Novel Jointed Structure with Measurement Results

The present article summarizes the submissions to the Tribomechadynamics Research Challenge announced in 2021. The task was a blind prediction of the vibration behavior of a system comprising a thin plate clamped on two sides via bolted joints. Both geometric and frictional contact nonlinearities are expected to be relevant. Provided were the CAD models and technical drawings of all parts as well as assembly instructions. The main objective was to predict the frequency and damping ratio of the lowest-frequency mode as function of the amplitude. Many different prediction approaches were pursued, ranging from well-known methods to very recently developed ones. After the submission deadline, the system has been fabricated and tested. The aim of this article is to evaluate the current state of the art in modelling and vibration prediction, and to provide directions for future methodological advancements.

The Tribomechadynamics Research Challenge: Confronting blind predictions for the linear and nonlinear dynamics of a thin-walled jointed structure with measurement results

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The Tribomechadynamics Research Challenge: Confronting Blind Predictions for the Linear and Nonlinear Dynamics of a Novel Jointed Structure with Measurement Results

The Tribomechadynamics Research Challenge: Confronting blind predictions for the linear and nonlinear dynamics of a thin-walled jointed structure with measurement results