Nonlinear Dynamics, Volume 1 1st edition by Gaetan Kerschen 1461465706 9781461465706

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ISBN-10 ‏ : ‎1461465706 

ISBN-13 ‏ : ‎ 9781461465706

Author: Gaetan Kerschen 

Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven 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 Structural Dynamics, including papers on:   Nonlinear Oscillations Nonlinearities … In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity

Nonlinear Dynamics, Volume 1 1st Table of contents:

Chapter 1 International Space Station 2A Array Modal Analysis
1.1 Introduction
1.2 Problem Description
1.2.1 ISS Array Longeron Shadowing
1.2.2 2A Anomoly
1.3 2A Array Modal Analysis
1.3.1 Linear Analysis
1.3.2 Non-linear Analysis
1.4 Mast Damage Sensitivity Study
1.5 Conclusions
References
Chapter 2 Experimental Non-linear Modal Testing of an Aircraft Engine Casing Assembly
2.1 Introduction
2.2 Test Planning for Rapid Validation of FMFEM Axisymmetric Casings and Assemblies
2.2.1 Contrast with WEM Model Validation Testing
2.2.2 Reducing Modal Test Times
2.2.3 Sector Test Planning for Large Axisymmetric FMFEMs
2.3 Test Case: SILOET 2.3.2: Full Assembly COC”026E30F HPTIPT”026E30F LPT FMFEM
2.4 Test Setup for Non-linear Large Assembly Tests
2.4.1 Preliminary Measurements
2.4.2 Importance of Vibration Settling Time
2.4.3 Final Test Setup and Preliminary Non-linear Testing
2.5 Non-linear Testing Method
2.5.1 Test Results for SILOET 2.3.2 Test Case
2.6 Conclusions
References
Chapter 3 Nonlinear Dynamic Analysis of a Track Bridge Structure Designedfor a Floating Bridge
3.1 Introduction
3.2 Finite Element Model of the Bridge and LRV Train
3.3 Finite Element Model of the Track Bridge
3.4 Results
3.5 Conclusion
References
Chapter 4 Experiment-Based Assessment of NLBeam for Modeling Geometrically Nonlinear Dynamic Deforma
4.1 Introduction
4.2 Theoretical Background
4.3 Numerical Modeling
4.3.1 Linear Model
4.3.2 NLBeam Model
4.3.3 Mesh Refinement Study
4.3.4 Sensitivity Analysis
4.4 Experimental Approach
4.4.1 Static Bending Experiments
4.4.2 Dynamic Experiments
4.5 Results and Discussion
4.5.1 Comparison of Model and Experiment Under Static Loading
4.5.2 Comparison of Model and Experiment Under Dynamic Base Excitation
4.6 Conclusions
References
Chapter 5 Identification of Restoring Force Surfaces in Nonlinear MDOF Systems from FRF Data Using N
5.1 Introduction
5.2 Theory
5.2.1 Application of the Method
5.3 Case Studies
5.3.1 Case Study 1
5.3.2 Case Study 2
5.3.3 Case Study-3
5.4 Experimental Study
5.5 Conclusions
References
Chapter 6 Smooth Projective Noise Reduction for Nonlinear Time Series
6.1 Introduction
6.2 Smooth Projective Nonlinear Noise Reduction
6.2.1 Smooth Orthogonal Decomposition
6.2.2 Smooth Subspace Identification and Data Projection
6.3 Description of Smooth Projective Noise Reduction Algorithm
6.4 Evaluating Performance of the Algorithm
6.5 Conclusions
References
Chapter 7 Nonlinear Finite Element Model Updating of a Large-Scale Infilled Frame Structures Based o
7.1 Introduction
7.2 Test Structure and Nonlinear FE Model
7.3 System Identification
7.4 Nonlinear Model Updating
7.5 Conclusions
References
Chapter 8 Frequency-Domain Subspace Identification of Nonlinear Mechanical Systems: Application to a
8.1 Introduction
8.2 Description of a Simplified Solar Array System
8.3 Subspace Identification of Nonlinear Mechanical Systems in the Frequency Domain
8.3.1 Equivalent Linear Identification through Feedback
8.3.2 Output-State-Input Matrix Equation Formulation
8.3.3 Estimation of the State Matrices
8.3.4 Conversion from State Space to Physical Space
8.4 Identification of the Snubber Softening-Hardening Nonlinearities
8.5 Conclusions
References
Chapter 9 Localization and Identification of Structural Nonlinearities Using Neural Networks
9.1 Introduction
9.2 Theory
9.2.1 Neural Network Models
9.2.2 Mathematical Modeling
9.3 Case Study: 4-DOF Nonlinear System
9.4 Conclusion
References
Chapter 10 Locally Non-linear Model Calibration Using Multi Harmonic Responses: Applied on Ecole de
10.1 Introduction
10.2 Theoretical Background
10.2.1 δ-Level Multi-harmonics Frequency Response Functions
10.2.2 A Deviation from Linearity criterion Function
10.2.3 Ranking Identifiability of Parameters
10.2.4 Parameter Estimation
10.3 Numerical Example
10.3.1 Parameter Estimation
10.4 Conclusions
References
Chapter 11 Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic
11.1 Introduction
11.2 New Fatigue Testing Apparatus
11.2.1 Mechanical Setup
11.2.2 Instrumentation
11.3 Description of Experiment and Results
11.4 Cumulative Fatigue Damage
11.5 Nonlinear Characterization of Loading
11.6 Discussion
11.7 Conclusion
References
Chapter 12 Forced Response of a Nonlinear Translating Brake Band in the Presence of Friction Guides
12.1 Introduction
12.2 Problem Formulation
12.3 Calculation of Center of Contact Force Location
12.4 Nonlinear Mathematical Model of the Translating Brake Band Problem
12.5 Translating Friction Band Experiment
12.6 Conclusion
References
Chapter 13 Obtaining Linear FRFs for Model Updating in Structures with Multiple Nonlinearities Inclu
13.1 Introduction
13.2 Theory
13.3 Case Studies
13.3.1 Application of the Approach to a SDOF System
13.3.2 Application of the Approach to a SDOF System with Polluted Data
13.3.3 Application of the Approach to a MDOF System with Polluted Data
13.3.4 Performance of the Method at Different Excitation Frequencies
13.4 Discussion and Conclusions
References
Chapter 14 LDV Measurement of Local Nonlinear Contact Conditions of Flange Joint
14.1 Introduction
14.2 Bolted Flange Joint Design
14.3 Experimental Test Rig
14.4 Measurement Simulation and Alignment
14.5 Measurement Results
14.6 Discussion
14.7 Conclusions
References
Chapter 15 Experimental Study of Joint Linearity
15.1 Introduction
15.2 Test Setup
15.3 Excitation Methods
15.4 Results
15.5 Conclusions
References
Chapter 16 Nonlinear Modal Decomposition Using Normal Form Transformations
16.1 Introduction
16.2 Modal Decomposition for a Nonlinear System
16.2.1 Backbone Curves
16.2.2 Modeshapes
16.2.3 Simulation Results
16.3 Conclusion
References
Chapter 17 Nonlinear Normal Modes of Nonconservative Systems
17.1 Introduction
17.2 Review of Normal Modes for Nonlinear Systems
17.2.1 Manifold-Governing Partial Differential Equations
17.3 Finite Element Computation of Nonlinear Normal Modes
17.3.1 Resolution Strategy Overview
17.3.2 Streamline Upwinded Petrov-Galerkin
17.3.3 Domain Prediction
17.3.4 Domain Correction Using a Mesh Moving Technique
17.4 Algorithm Demonstration on Conservative Examples
17.5 Two Nonlinear Nonconservative Systems
17.6 Conclusions
References
Chapter 18 Discrete Empirical Interpolation Method for Finite Element Structural Dynamics
18.1 Introduction
18.2 Preliminaries
18.2.1 Governing Equations
18.2.2 Galerkin Projection
18.2.3 Proper Orthogonal Decomposition
18.3 Discrete Empirical Interpolation Method
18.3.1 Computational Complexity in Evaluating the Nonlinear Term
18.3.2 The DEIM Algorithm
18.3.3 Inefficiency of DEIM Applied to FEM
18.4 Alternative Deim Formulation
18.5 Results
18.6 Discussion and Conclusions
References
Chapter 19 Nonlinear Forced Dynamics of Planar Arches
19.1 Introduction
19.2 Theoretical and Experimental Models
19.2.1 General 2D Model Based on the Assumption of Negligible Stretching and Finite Change in Curvat
19.2.2 Mettler Model Based on the Assumption of Constant Stretching of Arch Axis and Small Change in
19.3 An Experimentally Validated Correct Modeling
19.4 Analytical Prediction and Experimental Validation
19.5 Conclusions and Future Developments
References
Chapter 20 Investigation of Jointed Structures Using the Multiharmonic Balance Method
20.1 Introduction
20.2 Multiharmonic Balance Method
20.3 FEM Model
20.3.1 ZT Elements
20.3.2 Three-Dimensional Contact Law
20.4 Numerical Results
20.5 Conclusion
References
Chapter 21 The Nonlinear Tuned Vibration Absorber
21.1 Introduction
21.2 Problem Statement
21.3 First Step of the Tuning Methodology: Frequency-Energy Based Approach
21.4 Second Step of the Tuning Methodology: Bifurcation Analysis
21.4.1 Continuation of Bifurcations: Absorber Stiffness
21.4.2 Continuation of Bifurcations: Absorber Damping
21.4.3 Subsequent Iterations
21.4.4 Influence of the Forcing Amplitude: Performance-Robustness Analysis
21.5 General Nonlinear Primary System
21.6 Concluding Remarks
References
Chapter 22 Response of a Pendulum TMD with Large Displacements
22.1 Introduction
22.2 Pendulum TMD
22.3 Chimney
22.4 NNM
22.5 Conclusions
References
Chapter 23 The Experimental Performance of a Nonlinear Dynamic Vibration Absorber
23.1 Introduction
23.2 Equations of Motion of a Single Degree of Freedom System with an Attached Nonlinear Absorber
23.3 Vibration Reduction of a NDVA
23.3.1 Influence of the Nonlinear Parameter (γ)
23.3.2 The Effect of Damping (ζ) in the Nonlinear Absorber
23.4 Experimental Validation
23.4.1 Nonlinear Dynamic Vibration Absorber Design and Experimental Investigation
23.4.2 Experimental Procedure and Results
23.4.3 Parameter Estimation and Model Validation
23.5 Conclusions
References
Chapter 24 The Effects of Clutch Damper in Idling Driveline Rattle
24.1 Introduction
24.2 The Rattle During Idling
24.3 Modeling Powertrain
24.4 Simulation
24.4.1 Evaluation of the Model Consistency
24.4.2 Adherence Simulation
24.4.3 Idle Rattling Simulation
24.5 Conclusion
References
Chapter 25 Nonlinear Free Vibration of Curved Double Walled Carbon Nanotubes Using Differential Quad
25.1 Introduction
25.2 Modeling
25.3 Generalized Differential Quadrature Method
25.3.1 Applying DQM
25.4 Solution Method
25.5 Results
25.5.1 Geometric Nonlinearity
25.5.2 Effect of Initial Curvature on Fundamental Natural Frequencies of DWCNT
25.5.3 Van der Waals Force Nonlinearity Together with Geometric Nonlinearity
25.5.4 Effect of Length Ratio, Slenderness Ratio
25.5.5 Effect of Medium Stiffness
25.6 Conclusion
References
Chapter 26 Reanalysis of Large Finite Element Models with Structural Nonlinearities
26.1 Introduction
26.2 Harmonic Balance Method with Modal Superposition
26.2.1 Cubic Stiffness Nonlinearity
26.3 Structural Modification Method
26.4 Case Studies
26.4.1 Lumped Parameter Model
26.4.2 Finite Element Model
26.5 Conclusions
References
Chapter 27 Quantifying Penetration Depth of Damage in Concrete Structures Using Nonlinear Elastic Wa
27.1 Introduction
27.1.1 Motivation
27.1.2 Background
27.1.2.1 Damage
27.1.2.2 Methodology
27.1.3 Objective
27.2 Experimental Procedures
27.2.1 Specimen Preparation
27.2.2 Testing Procedures
27.2.2.1 Resonance Ultrasound Spectroscopy Sample Characterization
27.2.2.2 Nonlinear Resonance Ultrasound Spectroscopy
27.2.2.3 Time Reversal Nonlinearity Diagnostic Methods
27.2.3 Analysis Methods
27.3 Results
27.4 Discussion
27.5 Recommendations
References
Chapter 28 Investigating Cases of Jump Phenomenon in a Nonlinear Oscillatory System
28.1 Introduction
28.2 Case Study: The Underlying Conservative System
28.2.1 Periodic Orbits in the Energy-Frequency Plane
28.2.2 Periodic Orbits on the Invariant Manifolds of the System
28.2.3 Periodic Orbits as Fixed Points of a Poincare Map
28.3 Orientability of Invariant Manifolds
28.4 Stability of Periodic Orbits and Orientability of Their Invariant Manifolds
28.4.1 Stability of Periodic Solutions (Floquet Theory at a Glance)
28.4.1.1 Range of Validity of Floquet Stability Analysis
28.4.2 Stability of Periodic Orbits and Orientability of Their Local Invariant Manifolds
28.5 Numerical Simulation of Jump Phenomena
28.5.1 Non-conservative System
28.5.2 Cases of Jump Phenomena in the Free Response of the Non-conservative System
28.6 Conclusion
28.6.1 Bifurcations of Periodic Orbits from a Fixed Point
28.6.2 Bifurcations of Periodic Orbits from a Periodic Orbit
References
Chapter 29 Modelling of Gear Meshing: A Numerical Approach for Dynamic Behavior Estimation of Thin G
29.1 Introduction
29.2 State of Art
29.2.1 Dynamic Factor
29.2.2 Tooth Elasticity and Gears Dynamic
29.2.3 Shafts and Gears Dynamic
29.2.4 Multibody/FEM Models
29.3 Models
29.3.1 Full Rigid Model (FRM)
29.3.2 Flex Teeth Model (FTM)
29.3.3 Full Flexible Model (FFM)
29.4 Results
29.4.1 Transmission Error
29.4.2 Contact Forces and Contact Pairs
29.5 Conclusions
References
Chapter 30 Influence of the Support Conditions in the Modal Parameters of a Cantilever Beam
30.1 Introduction
30.2 Motivation
30.3 Experimental Tests
30.3.1 Steel Foundation
30.3.2 Wooden Foundation
30.4 Conclusions

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