Linked e-resources
Details
Table of Contents
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
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