Nonlinear Dynamics, Volume 1

Dr. Gaetan Kerschen is a Professor at the University of Liege, Liege, Belgium.

• Chap 1. Interface Reduction on Hurty/Craig-Bampton Substructures with Frictionless Contact.- Chap 2. Experimental Path Following of Unstable Static Equilibria for Snap-Through Buckling.- Chap 3. Direct Detection of Nonlinear Modal Interactions and Model Updating using Measured Time Series.- Chap 4. Pareto Optimization of a Nonlinear Tuned Mass Damper to Control Vibrations in Hand Held Impact Machines.- Chap 5. Inverse Methods for Characterizing of Contact Areas in Mechanical Systems.- Chap 6. Experimental Characterization of a new Benchmark Structure for Prediction of Damping Nonlinearity.- Chap 7. Nonlinear System Identification for Joints Including Modal Interactions.- Chap 8. Performance of Nonlinear Modal Model in Predicting Complex Bilinear Stiffness.- Chap 9. Low Order Nonlinear Dynamic Modelling of Fuel Supply Pipes.- Chap 10. System Identification to Estimate the Nonlinear Modes of a Gong.- Chap 11. An Enhanced Static Reduction Algorithm for Predictive Modeling of Bolted Joints.- Chap 12. Time-varying Spectral Submanifolds: Analytic Calculation of Backbone Curves and Forced Response.- Chap 13. Operational Modal Analysis based Stress Estimation in Friction Systems.- Chap 14. Damping Estimation of Friction Systems in Random Vibrations.- Chap 15. System Identification of Jointed Structures: Nonlinear Modal Testing vs. State-Space Model Identification.- Chap 16. Effect of Boundary Conditions on Finite Element Submodeling.- Chap 17. On Euler Buckling and Snap-Through.- Chap 18. Solitons in Cyclic and Symmetric Structures.- Chap 19. Experimental and Numerical Nonlinear Modal Analysis of a Beam with Impact: Part I - Numerical Investigation.- Chap 20. Experimental and Numerical Nonlinear Modal Analysis of a Beam with Impact: Part II - Experimental Investigation.- Chap 21. The Effect of Non-Flat Interfaces on System Dynamics.- Chap 22. Investigating Modal Contributions using a Galerkin Model.- Chap 23. Acoustic Excitation of a Flanged Joint.- Chap 24. In Situ Measurements of Interfacial Contact Pressure During Impact Hammer Test.- Chap 25. An Improved Shape Reconstruction Methodology for Long rod like Structures using Cosserat Kinematics- Including the Poisson’s Effect.- Chap 26. Computing Nonlinear Normal Modes of Aerospace Structures using the Multi-Harmonic Balance Method.- Chap 27. Nonlinear Identification of an Aero-Engine Component Using Polynomial Nonlinear State Space Model.- Chap 28. Curved Structures that can Elastically Snap-through.- Chap 29. Experimental Analysis of Non-linear Damping Performance in Composites Materials Thanks to Local Transduction-dissipation Phenomenon.- Chap 30. Subspace-based Identification of a Distributed Nonlinearity in Time and Frequency Domains.- Chap 31. Reduced Order Modelling for Non-Linear Rotating Systems in ALE Formulation with Contact.- Chap 32. Damage Precursor Indicator for Aluminum 7075-T6 Based on Nonlinear Dynamics.- Chap 33. Application of Control-based Continuation to a Nonlinear System with Harmonically Coupled Modes.- Chap 34. Numerically Assessing the Relative Significance of Nonlinear Normal Modes to Forced Responses.- Chap 35. Direct Frequency Domain Identification of time Varying Systems.- Chap 36. Reduced-order Modelling for Investigating Nonlinear FEM Systems.- Chap 37. Nonlinear Forced Response of a Composite fan Blade Actuated by Piezoelectric Patches: Simulation and Testing.- Chap 38. Locating Nonlinearity in Mechanical Systems - A Dynamic Network Perspective.- Chap 39. Tracing a Prescribed Force-displacement Curve using Topology Optimization.- Chap 40. Model Updating of a Wing-Engine Structure with Nonlinear Connections.- Chap 41. Modal Analysis of Axially Deforming Rods with Isolated Lap Joints.- Chap 42. Identification of Nonlinear Viscoelastic Parameters Based on an Enhanced Oberst Beam Method.- Chap 43. A General Framework for Time Domain Finite Element Analysis of Viscoelastically Damped Structures.- Chap 44. Nonlinear Structural, Inertial and Damping Effectsin an Oscillating Cantilever Beam.- Chap 45. Reduced Order Modeling of Structures with Preloaded Bolted Joints by the use of Trial Vector Derivatives.- Chap 45. Towards the Development of a Model for Nonlinear Elements in Machine Tools.- Chap 46. Nonlinear Characterization of a Machine Tool Energy Absorber.- Chap 47. Tutorial: Bolted Joints and Tribomechadynamics (60-min).