Nonlinear Dynamics, Volume 1

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

• Chapter1: Design Sensitivities of Components Using Nonlinear Reduced-order Models and Complex Variables.- Chapter2: An Explanation for Why Natural Frequencies Shifting in Structures with Membrane Stresses, Using Backbone Curve Models.- Chapter3: Experimental Nonlinear Dynamics and Snap-through of Post-Buckled Composite Plates.- Chapter4: Comparing Analytical Approximation Methods with Numerical Results for Nonlinear Systems.- Chapter5: Identification of Complex Nonlinearities Using Cubic Splines with Automatic Discretization.- Chapter6: Nonlinear Vibration Analysis of a Complex Aerospace Structure.- Chapter7: Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by using Hilbert Transform.- Chapter8: Non-linear System Identification using the Hilbert-Huang Transform and Complex Non-linear Modal Analysis.- Chapter9: Experimental Analysis of a Piezoelectric Energy Harvester with Internal Resonances.- Chapter10: Identification of Pressure-DependentModal Properties of Non-Linear Brake pad by using Scalable Dirac Impulse.- Chapter11: A Proposal of Multi-Dimensional Modal Reduction for Nonlinear Dynamic Simulations.- Chapter12: Nonlinear Normal Modes of a Curved Beam and its Response to Random Loading.- Chapter13: Experimental Study on the Effect of Large Axial Tension Force on the Natural Frequency of a Fixed-Fixed Steel Beam.- Chapter14: The Significance of Nonlinear Normal Modes for Forced Responses.- Chapter15: Influence of Actual Static Transmission Error and Contact Ratio on Gear Engagement Dynamics.- Chapter16: Sensitivity Analysis of Nonlinear Railway Vehicle Models Using Linearized Proxy Analyses.- Chapter17: Application of Nonlinear Displacement-Dependent Dampers in Suspension Systems.- Chapter18: Persistent Models for Complex Control Systems.- Chapter19: Evaluation of Autoparametric Vibration Absorbers on N-Story Building-like Structures.- Chapter20: Modal Methods for Contact Analysis and Contact Force Reconstruction.- Chapter21: Design of a Frequency-energy Independent Nonlinear Oscillator.- Chapter22: Identification of Nonlinear Wave Forces using Gaussian Process NARX Models.