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Brake, Ludovic Renson, Robert J. Kuether, Paolo Tiso 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (257 pages) 225 1 $aConference Proceedings of the Society for Experimental Mechanics Series,$x2191-5652 311 08$a3-031-36998-X 327 $aIntro -- Preface -- Contents -- 1 On the Detection and Quantification of Nonlinearity via Statistics of the Gradients of a Black-Box Model -- 1.1 Introduction -- 1.2 Machine Learning for Structural Dynamics -- 1.3 A Three-Storey Building Dataset -- 1.4 Statistics of the Model Gradients as a Nonlinearity Metric -- 1.5 Conclusions -- References -- 2 Robust Identification of Nonlinear Oscillators from Frequency Response Data -- 2.1 Introduction -- 2.2 System Identification -- 2.3 Results -- 2.4 Conclusions -- References -- 3 Creating Data-Driven Reduced-Order Models for Nonlinear Vibration via Physics-Informed Neural Networks -- 3.1 Introduction -- 3.2 Methodology -- 3.2.1 Example: Five-Degree-of-Freedom, Nonlinear Mass-Spring Model -- 3.2.2 Data Generation -- 3.2.3 Long Short-Term Memory -- 3.2.4 Physics-Informed Loss Function -- 3.3 Conclusions -- References -- 4 Effect of Structural Parameters on the Nonlinear Vibration of L-Shaped Beams -- 4.1 Introduction -- 4.2 Background -- 4.2.1 Formulation of the L-Shaped Beam -- 4.2.2 Discretization of the Nonlinear PDEs by Using Galerkin's Method -- 4.2.3 Multiharmonic Harmonic Balance Method (HBM) -- 4.3 Results and Discussions -- 4.3.1 Linear Model Results -- 4.3.2 Case Studies -- 4.4 Conclusion -- References -- 5 Importance of Virtual Sensing and Model Reduction in the Structural Identification of Bolted Assemblies -- 5.1 Introduction -- 5.2 Methodology -- 5.3 Analysis and Discussion -- 5.4 Conclusion -- References -- 6 On the Harmonic Balance Method Augmented with Nonsmooth Basis Functions for Contact/Impact Problems -- 6.1 Introduction -- 6.2 Nonsmooth Galerkin Formulation -- 6.3 Least-Squares Regression Analysis -- 6.4 Conclusion -- References -- 7 Periodic Response Prediction for Hybrid and Piecewise Linear Systems -- 7.1 Introduction. 327 $a7.2 Periodic Response of Harmonically-Excited Time-Switched Hybrid Systems -- 7.3 Periodic Response of Harmonically-Excited Piecewise Linear Systems -- 7.4 Discussion and Conclusion -- References -- 8 A Tutorial on Data-Driven Methods in Nonlinear Dynamics -- 8.1 Introduction -- 8.2 Bayesian Inference and System Identification -- 8.3 System Identification Using Markov Chain Monte Carlo -- 8.4 Case Study in Parameter Estimation: The Duffing Oscillator -- 8.5 Model Selection and Approximate Bayesian Computation -- 8.6 Case Study in Equation Discovery: Hysteretic Systems -- 8.7 Coloured Boxes and Physics-Informed Machine Learning -- 8.7.1 Case Study: Prior Mean Functions-Residual Modelling -- 8.8 Conclusions -- References -- 9 Modeling Nonlinear Structures Using Physics-Guided, Machine-Learnt Models -- 9.1 Introduction -- 9.2 Background -- 9.3 Introducing Nonconservative Forces -- 9.4 Experimental Analysis -- 9.5 Exploiting Known Physics -- References -- 10 Bypassing the Repeatability Issue in Nonlinear Experimental Modal Analysis of Jointed Structures by Using the RCT-HFS Framework -- 10.1 Repeatability Issue -- 10.2 Application of the RCT-HFS Framework to the Orion Beam -- 10.3 Discussions and Conclusions -- References -- 11 Towards Exact Statistically Independent Nonlinear Normal Modes via the FPK Equation -- 11.1 Introduction -- 11.2 The Fokker-Planck-Kolmogorov Equation -- 11.3 Direct NNMs in a Single Dimension -- 11.3.1 A Cautionary Result -- 11.4 Towards Direct MDOF NNMs -- 11.5 Discussion -- References -- 12 Simulating Nonlinear Beating Phenomena Induced by Dry Friction in Dynamic Systems -- 12.1 Introduction -- 12.2 Background -- 12.2.1 Lumped Parameter Model -- 12.3 Analysis -- 12.3.1 Numerical Integration Scheme -- 12.4 Conclusion -- References -- 13 Case Study on the Effect of Nonlinearity in Dynamic Environment Testing -- 13.1 Introduction. 327 $a13.2 Setting of Problem -- 13.3 Results -- 13.4 Conclusions -- References -- 14 Strategies for Improving the Comparison of Frequency Response Functions with Similarity Metrics -- 14.1 Introduction -- 14.2 Simulation -- 14.3 Experimental Validation -- 14.4 Conclusions -- Appendix -- References -- 15 Resonant Characterization of Nonlinear Structures in the Co-existence of Multiple Resonant Components -- 15.1 Introduction -- 15.2 Methodology -- 15.3 Numerical Illustrations on a Two-DOF System -- 15.3.1 Two-Component Single Harmonic Balance Results -- 15.4 Conclusions -- References -- 16 Derivative-Less Arclength Control-Based Continuation for the Experimental Identification of Nonlinear Frequency Responses -- 16.1 Arclength Continuation: The Basic Idea -- 16.2 Numerical Example -- 16.3 Conclusion -- References -- 17 Experimental Modal Analysis of Structures with High Nonlinear Damping by Using Response-Controlled Stepped-Sine Testing -- 17.1 Introduction -- 17.2 Nonlinear Experimental Modal Analysis with the RCT-HFS Framework -- 17.3 Experiment -- 17.4 Discussions and Conclusions -- References -- 18 The TRChallenge: Experimental Quantification of Nonlinear Modal Parameters and Confrontation with the Predictions -- 18.1 Introduction -- 18.2 Experimental Setup and Test Strategies -- 18.3 Results -- 18.4 Conclusion -- References -- 19 Using Abaqus with Python to Perform QSMA on the TMD Structure -- 19.1 Introduction -- 19.2 Theory -- 19.2.1 Using Python to Perform QSMA -- 19.2.1.1 Using Abaqus's Restarts -- 19.2.1.2 Rough Friction vs. Lagrange Friction -- 19.3 Case Study 1: Stacked Beam -- 19.3.1 Application of Quasi-static Modal Analysis -- 19.3.1.1 Post-Processing Results from the Static Analysis -- 19.3.2 Validation of Pseudo-inverse Approach -- 19.4 Case Study 2: 2D TMD Benchmark Structure-10pt -- 19.4.1 Results. 327 $a19.5 Case Study 3: 3D TMD Benchmark Structure -- 19.6 Conclusions -- Appendix -- References -- 20 A Novel Approach for Local Structural Modification of Nonlinear Structures -- 20.1 Introduction -- 20.2 Theory -- 20.3 Case Studies -- 20.4 Conclusions -- References -- 21 Model Validation of a Modular Foam Encapsulated Electronics Assembly with Controlled Preloads via Additively Manufactured Silicone Lattices -- 21.1 Introduction -- 21.2 Geometry -- 21.3 Materials -- 21.4 Homogenized Material Paramaterization for DIW Lattice Structures -- 21.5 Experimental Methods -- 21.6 Finite Element Analysis -- 21.7 Results -- 21.8 Conclusion -- References -- 22 Characterizing the Dynamic Response of a Foam-Based Testbed with Material, Geometric, and Experimental Uncertainties -- 22.1 Introduction -- 22.2 Methods -- 22.3 Results and Analysis -- 22.4 Discussion -- 22.5 Conclusion -- Appendix -- References -- 23 Experimental Investigation on Frictional Interfaces of a Bolted Flange System -- 23.1 Introduction -- 23.2 Experimental Setups -- 23.3 Results and Discussion -- 23.4 Conclusion -- References -- 24 Estimation of Wheel Center Forces of a Car, Without Neither Load Sensor Nor Strain Gauge Measurements When Crossing a Groove on the Road -- 24.1 Introduction -- 24.2 Background -- 24.2.1 Rotation Representation -- 24.2.2 Multi-body Equations -- 24.2.3 The Constraints Equations -- 24.3 Kalman Filtering of the Multi-body Model -- 24.3.1 The Augmented and Constrained Extended Kalman Filter (ACEKF) -- 24.3.2 Kalman Prediction -- 24.3.3 Kalman Correction -- 24.3.4 Kalman Modifications -- 24.4 Analysis -- 24.4.1 Model Studied -- 24.4.2 Experimentation of Alternative Kalman Filters -- 24.5 Conclusion -- References -- 25 Nonlinear Dynamics, Continuation, and Stability Analysis of a Shaft-Bearing Assembly -- 25.1 Introduction -- 25.2 System Modeling and Numerical Methods. 327 $a25.3 Frequency Response Analysis -- 25.4 Conclusions -- References -- 26 Quantification of Amplitude- and Rotation Speed-Dependent Nonlinearity of Machine Tool Spindles -- 26.1 Introduction -- 26.2 Selected Results -- 26.3 Conclusions -- References -- 27 Toward Active Control of Limit Cycle Oscillations in an Aeroelastic Wing Using a Variable Frequency Flow Disturbance Generator -- 27.1 Introduction -- 27.2 Methodology -- 27.3 Results and Analysis -- 27.4 Planned Future Work -- 27.5 Conclusions -- References -- 28 Experimental Parameter Identification of Nonlinear Mechanical Systems via Meta-heuristic Optimisation Methods -- 28.1 Introduction -- 28.2 Experimental Test Rig and Nonlinear Analysis -- 28.3 Model Updating of the Underlying Linear System -- 28.4 Nonlinear Model Updating -- 28.5 Conclusion -- References -- 29 Investigation of the Nonlinear Dynamics of a Particle-Damped Slender Beam by Experimental Continuation -- 29.1 Introduction -- 29.2 Theoretical Background of Experimental Continuation -- 29.3 Experimental Setup -- 29.4 Results -- References -- 30 Identification of Nonlinear Characteristics of an Additive Manufactured Vibration Absorber -- 30.1 Introduction -- 30.2 Experimental Test Rig -- 30.3 Linear System Characterisation -- 30.4 Nonlinear System Characterisation -- 30.5 Conclusion -- References -- 31 Resonant Vibration Absorbers with Impacts -- 31.1 Introduction -- 31.2 Methodology -- 31.3 Results and Discussion -- 31.4 Conclusions -- References -- 32 Modeling and Verifying the Dynamic Response of Layered Plate Damping Systems -- 32.1 Introduction -- 32.2 Background -- 32.3 Experimental Testing Methodology -- 32.3.1 Test Setup and Considerations -- 32.3.2 Test Procedure -- 32.4 Finite Element Procedure -- 32.4.1 Model Setup -- 32.4.2 Mesh Convergence and Material Property Estimation -- 32.4.3 Simulation Steps -- 32.5 Results. 327 $a32.5.1 Numerical and Experimental Comparison. 330 $aNonlinear Structures & Systems, Volume 1: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the first volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Experimental Nonlinear Dynamics Jointed Structures: Identification, Mechanics, Dynamics Nonlinear Damping Nonlinear Modeling and Simulation Nonlinear Reduced-Order Modeling Nonlinearity and System Identification. 410 0$aConference Proceedings of the Society for Experimental Mechanics Series,$x2191-5652 606 $aMultibody systems 606 $aVibration 606 $aMechanics, Applied 606 $aStatics 606 $aBuilding construction 606 $aSystem theory 606 $aMultibody Systems and Mechanical Vibrations 606 $aMechanical Statics and Structures 606 $aEngineering Mechanics 606 $aSolid Construction 606 $aComplex Systems 615 0$aMultibody systems. 615 0$aVibration. 615 0$aMechanics, Applied. 615 0$aStatics. 615 0$aBuilding construction. 615 0$aSystem theory. 615 14$aMultibody Systems and Mechanical Vibrations. 615 24$aMechanical Statics and Structures. 615 24$aEngineering Mechanics. 615 24$aSolid Construction. 615 24$aComplex Systems. 676 $a620.104 676 $a620.104 700 $aBrake$b Matthew R. W$01438259 701 $aRenson$b Ludovic$01438260 701 $aKuether$b Robert J$01438261 701 $aTiso$b Paolo$01438262 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910760265903321 996 $aNonlinear Structures & Systems, Volume 1$93599568 997 $aUNINA