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-Dependent Modal 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.