Contents 1 Linear and Nonlinear Response of a Continuous-Interface BARC: FEA Prediction and Test 1 Sean Magoffin, Brooklyn Andrus, Matthew S. Allen, and Raymond Joshua 2 www.FreeDyn.at A free, GUI based multi-body dynamics software for stand-alone use and with C API for linking it to Python, Matlab or custom code 15 Wolfgang Witteveen and Stefan Oberpeilsteiner 3 Nonlinear Frequency Response Surfaces, Part I: Theoretical Formulation 21 D. Di Maio, Jip van Tiggelen, and Marcel H.M. Ellenbroek 4 Fatigue Damage Potential in a Nonlinear Dynamical System with Isolated Resonances 27 Brian Evan Saunders 5 Robust Optimization of Surface Topology for Jointed Connections 31 Aalokeparno Dhar, Justin H. Porter, and Matthew R. W. Brake 6 Nonlinear Vibration Control on Complex Structures via Model Predictive Control Exploiting Koopman Model 41 Yichang Shen and Ludovic Renson 7 Stochastic Dynamics and Surrogate Modeling for Nonlinear Aerospace Nozzle Systems with Partial Observations 45 Evange´line Capiez-Lernout, Olivier Ezvan, and Christian Soize 8 Industrial Applications of Nonlinear Modal Modeling: Two Case Studies 49 Benjamin R Pacini 9 An Overview of ANSYS Harmonic Balance Method: Current Capabilities and Future Directions 71 Furkan K. C¸ elik, Taylan Karaag˘ac¸lı, M. Bu¨lent O¨ zer, and H. Nevzat O¨ zgu¨ven 10 Derivative-Free Arclength Control-Based Continuation for Secondary Resonances Identification 77 Michael Kwarta 11 Modelling a Nonlinear Single-Degree-of-freedom System from Experimental Data using Lagrangian Neural Networks 83 Alexandre Spits, Ghislain Raze, and Gae¨tan Kerschen 12 Computing Periodic Responses of Highly Flexible Beams Modelled under the SE(3) Lie Group Framework with Multiple Shooting 87 Alan Xavier and Ludovic Renson 13 Direct Parameterization of Invariant Manifolds 94 Amir K. Bagheri, Valentin Sonneville, and Ludovic Renson 14 Nonlinear Solvers for Computing Periodic Solutions 96 Tiago S. Martins, F. Trainotti, L. Kreuzer, and D. J. Rixen 15 Application and Discussion of Results 98 ˙Izzet Ulug˘ and Ender Cigeroglu vii
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