Nonlinear dynamics. proceedings of the 35th IMAC, a Conference and Exposition on Structural Dynamics 2017 /: proceedings of the 35th IMAC, a Conference and Exposition on Structural Dynamics 2017. Volume 1 : (2017)

• Record Type: Book
• Further Information: Note: Gaetan Kerschen, editor.
• Editors: Kerschen, G
• Other Names: International Modal Analysis Conference, 35th
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (viii, 221 pages), illustrations (some color)
• Subjects: 515/.39; 620; Engineering; Nonlinear mechanics -- Congresses; Structural dynamics -- Congresses; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Nonlinear mechanics; Structural dynamics; Technology & Engineering -- General; Science -- Mechanics -- Solids; Science -- Chaotic Behavior in Systems; Cybernetics & systems theory; Mechanics of solids; Nonlinear science; Vibration; Mechanics; Mechanics, Applied; Technology & Engineering -- Mechanical; Dynamics & vibration; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319544045; 3319544047
• Related ISBNs: 9783319544038; 3319544039
• Notes: Note: Includes bibliographical references at the end of each chapters.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 15, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.