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

Mechanical Systems and Signal Processing

Krack, Malte; Brake, Matthew R.W.; Schwingshackl, Christoph; Gross, Johann; Hippold, Patrick; Lasen, Matias; Dini, Daniele; Salles, Loic; Allen, Matthew S.; Shetty, Drithi; Payne, Courtney A.; Willner, Kai; Lengger, Michael; Khan, Moheimin Y.; Ortiz, Jonel; Najera-Flores, David A.; Kuether, Robert J.; Miles, Paul R.; Xu, Chao; Yang, Huiyi; Jalali, Hassan; Taghipour, Javad; Khodaparast, Hamed H.; Friswell, Michael I.; Tiso, Paolo; Morsy, Ahmed A.; Bhattu, Arati; Hermann, Svenja; Jamia, Nidhal; Ozguven, H.N.; Muller, Florian; Scheel, Maren

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 modeling and vibration prediction, and to provide directions for future methodological advancements.

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A Bayesian Multi-Fidelity Neural Network to Predict Nonlinear Frequency Backbone Curves

Journal of Verification, Validation and Uncertainty Quantification

Najera-Flores, David A.; Ortiz, Jonel; Khan, Moheimin Y.; Kuether, Robert J.; Miles, Paul R.

The use of structural mechanics models during the design process often leads to the development of models of varying fidelity. Often low-fidelity models are efficient to simulate but lack accuracy, while the high-fidelity counterparts are accurate with less efficiency. This paper presents a multifidelity surrogate modeling approach that combines the accuracy of a high-fidelity finite element model with the efficiency of a low-fidelity model to train an even faster surrogate model that parameterizes the design space of interest. The objective of these models is to predict the nonlinear frequency backbone curves of the Tribomechadynamics research challenge benchmark structure which exhibits simultaneous nonlinearities from frictional contact and geometric nonlinearity. The surrogate model consists of an ensemble of neural networks that learn the mapping between low and high-fidelity data through nonlinear transformations. Bayesian neural networks are used to assess the surrogate model’s uncertainty. Once trained, the multifidelity neural network is used to perform sensitivity analysis to assess the influence of the design parameters on the predicted backbone curves. Additionally, Bayesian calibration is performed to update the input parameter distributions to correlate the model parameters to the collection of experimentally measured backbone curves.

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Uncertainty Quantification for Component Modeling Using the Discrete-Direct Approach

Mersch, John; Miles, Paul R.; Fowler, Deborah M.; Laursen, Christopher M.; Fuchs, Brian M.

Threaded fastener behavior can be an important aspect of complex component and system behavior, but there is no one-size-fits-all finite element analysis technique. Proper modeling of threaded fastener joints requires careful consideration of many details, from test setup and data acquisition to constitutive modeling and uncertainty quantification approaches. This report details analysis of a “mini-radax” bolted-joint exemplar where a Discrete-Direct uncertainty quantification approach is employed to evaluate margin of the component. The mini-radax geometry is tested to failure on a drop table, and single-coupon tests of individual fasteners serve as foundational data for the analysis. Analysis predictions complement the test data well and provide additional context for engineering decision-making.

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6 Results
6 Results