SpringerLink Springer Engineering eBooks 2017 English+International

Preface; Contents; 1 Design Sensitivities of Components Using Nonlinear Reduced-Order Models and Complex Variables; 1.1 Introduction; 1.2 Background; 1.3 Current Work; 1.4 Discussion and Summary; References; 2 An Explanation for Why Natural Frequencies Shifting in Structures with Membrane Stresses, Using Backbone Curve Models; 2.1 Introduction; 2.2 Nonlinear Dynamic Behaviour of a Thin Plate; 2.3 Nonlinear Reduced Order Model (NROM); 2.4 Simulation Results of the NROM; 2.5 Effect of the Nonlinear Coupled-Mode Terms Explanation; 2.6 Conclusions; References.

3 Experimental Nonlinear Dynamics and Snap-Through of Post-Buckled Composite Plates3.1 Introduction; 3.2 Theoretical Nonlinear Model for Post-Buckled Plates; 3.3 Experiment of Snap-Through of a Post-Buckled Thin Laminated Composite Plate; 3.3.1 Digital Image Correlation (DIC) Technique; 3.3.2 Full-Field Measurement of Nonlinear Dynamic Response; 3.4 Modeling of Snap-Through of a Post-Buckled Thin Laminated Composite Plate; 3.4.1 Static Analysis; 3.4.2 Dynamic Analysis; 3.5 Comparison of Modeling and Experimental Results; 3.6 Summary and Future Work; References.

4 Comparing Analytical Approximation Methods with Numerical Results for Nonlinear Systems4.1 Introduction; 4.2 Analytical Approximations; 4.2.1 Example System; 4.2.2 Backbone Curves; 4.2.2.1 Harmonic Balance; 4.2.2.2 Second-Order Normal Forms; 4.2.2.3 Multiple Scales; 4.2.3 Forced Response; 4.3 Results and Discussion; 4.3.1 Backbone Curves; 4.3.2 Forced Responses; 4.4 Conclusions; References; 5 Identification of Complex Nonlinearities Using Cubic Splines with Automatic Discretization; 5.1 Introduction; 5.2 Identification Procedure.

5.2.1 Initial State-Space Model Obtained Using Nonlinear Subspace Identification and Curve Fitting5.2.2 Final State-Space Model Obtained Using Nonlinear Optimization; 5.3 Numerical Demonstration on a Single-DOF System with a Trilinear Stiffness; 5.3.1 Identification Using 6-Knot Splines; 5.3.2 Identification Using 12-Knot Splines; 5.4 Conclusion; References; 6 Nonlinear Vibration Analysis of a Complex Aerospace Structure; 6.1 Introduction; 6.1.1 Description of the Test Structure; 6.2 Experimental Test and Linear Identification; 6.2.1 Low Level Test Campaign; 6.2.2 Linear Identification.

6.3 Nonlinear Experimental Identification6.3.1 Nonlinearity Detection; 6.3.1.1 Time Series Inspection; 6.3.2 Nonlinear Characterisation; 6.3.2.1 Acceleration Surface Plots; 6.3.2.2 Hilbert Transform Identification; 6.3.3 Qualitative Parameter Estimation; 6.4 Control Stepped-Sine Test; 6.5 Conclusion; References; 7 Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform; 7.1 Introduction; 7.2 Theoretical Foundation; 7.2.1 Geometrically Nonlinear Isolator; 7.2.2 Identification with Hilbert Transform; 7.3 Experimental Identification.

Nonlinear Dynamics, Volume 1: Proceedings of the 35th IMAC, A Conference and Exposition on Structural Dynamics, 2017, 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: Nonlinear System Identification Nonlinear Modeling & Simulation Nonlinear Reduced-order Modeling Nonlinearity in Practice Nonlinearity in Aerospace Systems Nonlinearity in Multi-Physics Systems Nonlinear Modes and Modal Interactions Experimental Nonlinear Dynamics.