Nonlinear Structures and Systems, Volume 1

Name: Nonlinear Structures and Systems, Volume 1 | Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019
Brand: Springer
Price: 223.63 EUR
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Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019

Gaetan Kerschen M. R. W. Brake Ludovic Renson(Editor)

Springer (Publisher)

1st Edition

Published on 28. June 2019

IX, 277 pages

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978-3-030-12391-8 (ISBN)

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Content

Intro
Preface
Contents
1 Nonsmooth Modal Analysis of a Non-internally Resonant Finite Bar Subject to a Unilateral Contact Constraint
1.1 Introduction
1.2 Non-internally Resonant Elastic Bar
1.3 Periodic Solutions and Nonsmooth Modal Analysis
1.4 Numerical Scheme
1.5 Spectrum of Nonsmooth Vibration
1.6 Response to Periodic External Forcing
1.7 Conclusions
References
2 A New Iwan/Palmov Implementation for Fast Simulation and System Identification
2.1 Introduction
2.2 Understanding the Algorithm
2.2.1 When the External Force is Non-zero
2.2.2 When the External Force is Zero
2.3 Application to Single Degree of Freedom System
2.3.1 Results and Analysis
Accuracy
Speed
2.4 Conclusions
References
3 Analysis of Transient Vibrations for Estimating Bolted Joint Tightness
3.1 Introduction
3.2 Background
3.3 Analysis
3.4 Conclusion
References
4 Spider Configurations for Models with Discrete Iwan Elements
4.1 Introduction
4.2 Modeling Approach
4.2.1 Hurty/Craig Bampton Reduction
4.2.2 Spidering
4.2.3 Whole-Joint Model
4.2.4 Linear Model Updating
4.2.5 Nonlinear Model Updating
4.3 Application to S4 Beam: Linear Updating
4.3.1 Single Beam Calibration
4.3.2 Whole-Joint Spring Calibration
4.4 Nonlinear Model Updating
4.5 Conclusion
Appendix: Full Interface RBAR Springs for all Models
References
5 Predicting S4 Beam Joint Nonlinearity Using Quasi-Static Modal Analysis
5.1 Introduction
5.2 Background
5.3 Model Creation
5.3.1 Bolt Preload
5.3.2 Modeling Surface Curvature
5.4 Test Cases
5.4.1 Solver Tolerances
5.4.2 Bolt Preload
5.4.3 Surface Contours
5.5 Conclusion and Future Work
References
6 The Best Linear Approximation of MIMO Systems: First Results on Simplified Nonlinearity Assessment
6.1 Introduction
6.2 Basics
6.3 Design of Experiment
6.3.1 Multisine Excitation and Detection of Nonlinearities
6.3.2 Multisines for Multiple Input Measurements
6.4 Best Linear Approximation
6.4.1 Theoretical Structure and the Basic Assumptions
6.4.2 Two-Dimensional Averaging
6.5 Measurement
6.6 Analysis
6.7 Conclusion
References
7 Forced Response of Nonlinear Systems Under Combined Harmonic and Random Excitation
Nomenclature
7.1 Introduction
7.2 The Fokker-Planck Equation
7.3 Galerkin-Type Method for Combined Harmonic and Random Excitation
7.4 Orthogonal Time-Dependent Correction Functions
7.5 Application
7.5.1 Duffing-Oscillator
7.5.2 Duffing-van der Pol-Oscillator
7.5.3 3-DOF-System
7.5.4 20-DOF Model of a Bladed Disk Assembly
7.6 Problems and Limitations
7.7 Conclusion and Outlook
References
8 Gerrymandering for Interfaces: Modeling the Mechanics of Jointed Structures
8.1 Introduction
8.2 Model Description
8.2.1 ZTE Meshes
8.2.2 Quasi Static Modal Analysis
8.3 Results
8.4 Conclusion
References
9 An Analysis of the Gimballed Horizontal Pendulum System for Use as a Rotary Vibrational Energy Harvester
9.1 Introduction
9.2 Analysis
9.3 Conclusion
References
10 On the Dynamic Response of Flow-Induced Vibration of Nonlinear Structures
10.1 Introduction
10.2 Experimental Setup
10.3 Results
10.4 Conclusion
References
11 Potential and Limitation of a Nonlinear Modal Testing Method for Friction-Damped Systems
11.1 Introduction and Method
11.2 Beam Test Rig with Friction Nonlinearity
11.3 Experimental Nonlinear Modal Analysis
11.4 Conclusion
References
12 Dynamics of a Magnetically Excited Rotational System
12.1 Introduction
12.2 System Description
12.3 Equilibria and Stabilities
12.4 Dynamic Response
12.5 Conclusion
References
13 Experimental Nonlinear Dynamics of a Post-buckled Composite Laminate Plate
13.1 Introduction
13.2 Pre-buckled Analysis
13.2.1 Analytical Solution
13.2.2 Experimentation
13.2.3 Comparison of Analytical Solution and Experimental Results
13.3 Post-buckled Analysis
13.3.1 Experimentation
13.3.2 Asymmetric Buckle
13.3.3 Chaotic Snap Through
13.3.4 Low Amplitude Modal Sweeps
13.4 Summary and Future Work
References
14 Simulation of a Self-Resonant Beam-Slider-System Considering Geometric Nonlinearities
14.1 Introduction
14.2 Natural Frequency of Clamped-Clamped Beam with Bonded Slider
14.3 Self-Resonant Process
14.4 Conclusion
References
15 Reinforcement Learning for Active Damping of Harmonically Excited Pendulum with Highly Nonlinear Actuator
15.1 Introduction
15.2 Methods
15.3 Results
15.4 Conclusion
References
16 Investigation of Nonlinear Dynamic Phenomena Applying Real-Time Hybrid Simulation
16.1 Introduction
16.2 Nonlinear Vibrations in Hybrid Simulation
16.3 Control of Transfer System
16.4 Real-Time Hybrid Testing of a Duffing Oscillator
16.5 Conclusion
References
17 Experimental and Numerical Aeroelastic Analysis of Airfoil-Aileron System with NonlinearEnergy Sink
17.1 Present Work
References
18 On the Modal Surrogacy of Joint Parameter Estimates in Bolted Joints
18.1 Introduction
18.2 Methodology
18.3 Results and Conclusions
References
19 Vehicle Escape Dynamics on an Arbitrarily Curved Surface
19.1 Introduction
19.2 Background
19.3 Models
19.4 Methods
19.5 Results
19.6 Conclusion
19.7 Future Work
References
20 Nonlinear Dynamical Analysis for Coupled Fluid-Structure Systems
20.1 Introduction
20.2 Description of the Computational Model
20.3 Numerical Application
20.4 Conclusions
References
21 Experimental Nonlinear Vibration Analysis of a Shrouded Bladed Disk Model on a Rotating Test Rig
21.1 Introduction
21.2 Bladed Disk Model
21.3 Rotating Test Rig
21.4 Excitation Mechanism
21.5 Experimental Results
21.6 Conclusions
References
22 The Measurement of Tangential Contact Stiffness for Nonlinear Dynamic Analysis
22.1 Introduction
22.2 Oxford Rig
22.3 Imperial College Rig
22.4 Comparison of Tangential Contact Stiffness
22.5 Discussion and Conclusions
References
23 Investigating Nonlinearity in a Bolted Structure Using Force Appropriation Techniques
23.1 Approach
23.2 Results
References
24 Techniques for Nonlinear Identification and Maximizing Modal Response
24.1 Introduction
24.2 Theory
24.2.1 Nonlinear Pseudo-Modal Model
24.2.2 Modal Filter Theory
24.2.3 Experimental Applied Force
24.3 Experimental Set-Up
24.3.1 Hardware Description
24.3.2 Linear Model Extraction
24.4 Nonlinear Modal Model Extraction Overview
24.5 Experimental Results to Modified Windowed Sinusoidal Inputs
24.5.1 Experimental Results from Cases A-D
24.5.2 Experimental Results from Cases E-F
24.6 Experimental Results from Cases E and H
24.7 Model Comparison
24.8 Conclusions and Future Work
References
25 Influences of Modal Coupling on Experimentally Extracted Nonlinear Modal Models
25.1 Introduction
25.2 Experimental Theoretical Background
25.2.1 Pseudo - Modal Models
25.2.2 Hilbert Analysis
25.3 Experimental Methodology
25.3.1 Test Structure
25.3.2 Linear Testing
25.3.3 Nonlinear Shaker Testing
25.3.4 Shaker Experimental Results
25.3.5 Nonlinear Hammer Testing
25.4 Conclusions
*-30pt
Appendix B-Additional Hammer Data Plots
References
26 Dynamic Response of a Curved Plate Subjected to a Moving Local Heat Gradient
26.1 Introduction
26.2 Experimental Setup
26.2.1 Introduction
26.2.2 Thermal Loading
26.3 Results
26.3.1 Quasi-Static Response
26.3.2 Dynamic Response
26.4 Future Work
References
27 A Test-Case on Continuation Methods for Bladed-Disk Vibration with Contact and Friction
27.1 Introduction
27.2 Methodology and Analysis
27.2.1 Framework
27.2.2 Preliminary Results
27.3 Conclusion
References
28 Dynamics of Geometrically-Nonlinear Beam Structures, Part 1: Numerical Modeling
28.1 Introduction
28.2 Background
28.3 Results
28.4 Conclusion
References
29 Dynamics of Geometrically-Nonlinear Beam Structures, Part 2: Experimental Analysis
29.1 Introduction
29.2 Beam Under Moderately Large Lateral Oscillations
29.3 Nonlinear System Identification
29.4 Experimental Tests and Results
29.5 Conclusion
References
30 Constructing Backbone Curves from Free-Decay Vibrations Data in Multi-Degrees of Freedom Oscillatory Systems
30.1 Introduction
30.2 Method Overview and Numerical Example
30.3 Conclusion
References
31 Nonlinear 3D Modeling and Vibration Analysis of Horizontal Drum Type Washing Machines
31.1 Introduction
31.2 Analysis
31.3 Conclusion
References
32 Comparison of Linear and Nonlinear Modal Reduction Approaches
32.1 Harmonic Vibration Analysis of Nonlinear MDOF Systems
32.2 Case Study
32.3 Conclusions
References
33 Reduced Order Modeling of Bolted Joints in Frequency Domain
33.1 Introduction
33.2 Theory
33.2.1 Nonlinear Static Analysis of Brake-Reuß Beam
33.2.2 Representative High Fidelity Model
33.2.3 Reduced Order Joint Model
33.3 Results and Discussion
References
34 Comparison of ANM and Predictor-Corrector Method to Continue Solutions of Harmonic Balance Equations
34.1 Introduction
34.1.1 Alternating-Frequency-Time Scheme with Predictor-Corrector Continuation (AFT-PreCo)
34.1.2 Classical Harmonic Balance with Asymptotic Numerical Method (cHB-ANM)
34.2 Results
34.3 Conclusions
References
35 A Priori Methods to Assess the Strength of Nonlinearities for Design Applications
35.1 Introduction
35.2 Defining Strength of Nonlinearity
35.3 Parameter Extractions
35.3.1 Amplitude Dependent Frequency and Damping
35.3.2 Contact Pressure and Modal Strain
35.4 Correlation of Numerical and Experimental Parameters
35.5 Conclusion
References
36 Predictive Modeling of Bolted Assemblies with Surface Irregularities
36.1 Introduction
36.2 System Description
36.3 Single Beam Structure
36.3.1 Experimental Modal Analysis
36.3.2 Model Updating
36.3.2.1 Density
36.3.2.2 Young's Modulus
36.3.2.3 Surface Geometry
36.4 Bolted Beam Assembly
36.4.1 Experimental Modal Analysis
36.4.2 Computational Preload Analysis
36.4.3 Modal Analysis Validation
36.5 Conclusions
References
37 A Novel Computational Method to Calculate Nonlinear Normal Modes of Complex Structures
37.1 Introduction
37.2 Theory
37.2.1 Describing Function Method
37.2.2 Dynamic Stiffness Formulation to Obtain NNMs
37.3 Results
37.4 Conclusion
References
38 Experimental-Numerical Comparison of Contact Nonlinear Dynamics Through Multi-level Linear Mode Shapes
38.1 Introduction
38.2 Experimental Set-Up
38.3 Multi-Phi Method
38.4 Comparison Between Prediction and Experimental Data
38.5 Conclusion
References
39 Dynamic Behavior and Output Charge Analysis of a Bistable Clamped-Ends Energy Harvester
39.1 Introduction and Model Description
39.2 Results and Discussion
39.3 Conclusion
References

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Nonlinear Structures and Systems, Volume 1

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