Dynamic Substructures, Volume 4

Name: Dynamic Substructures, Volume 4 | Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020
Brand: Springer
Price: 213.99 EUR
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Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020

Andreas Linderholt Matt Allen Walter D'Ambrogio(Editor)

Springer (Publisher)

1st Edition

Published on 12. September 2020

VIII, 199 pages

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978-3-030-47630-4 (ISBN)

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Content

Intro
Preface
Contents
1 Comparison of Feedforward Control Schemes for Real-Time Hybrid Substructuring (RTHS)
1.1 Introduction
1.2 Feedforward Control Schemes
1.2.1 Model-Based Dynamic Feedforward
1.2.2 Model-Free Inversion-Based Iterative Feedforward Control
1.2.3 Velocity Feedforward
1.3 Experimental Setup
1.3.1 Stewart Platform
1.3.2 System Identification
1.3.3 Benchmark Problem
1.3.4 Parameters Setting for the Experiments
1.4 Results and Discussion
1.4.1 Convergence of MFIIC
1.4.2 Comparison of the Feedforward Control Schemes
1.4.3 Coupling Between Directions
1.4.4 Discussion
1.5 Conclusion
References
2 Proposed 12-DOF Shaker Control of BARC Structure
2.1 Introduction
2.2 BARC Impact Tests
2.3 Base Input Force Definition
2.4 Component Rigid Body Base Input Definition
2.5 12-DOF Control Strategy
2.6 Results
2.7 Fixed Base Component Modes
2.8 Summary
References
3 Mechanical Environment Test Specifications Derived from Equivalent Energy in Fixed Base Modes
3.1 Motivation
3.2 Modal Theory for Base Mounted Component on Fixture
3.3 MATV Hardware and Instrumentation
3.4 MATV System Level Test
3.5 Free Modal Test of Component and Fixture
3.6 Extracting the Nominal Fixed Base Modal Cross Spectra from System Level Test
3.7 Calculated 6 DOF Base Input Specs to Ensure Conservatism on Fixed Base Modal DOF Based on Variability
3.8 Typical 1 DOF SPEC Response
3.9 Discussion of 6 DOF and 1 DOF Test Specifications
3.10 Conclusion
References
4 Implementing Experimental Substructuring in Abaqus
4.1 Introduction
4.2 Background and Theory
4.3 Implementation
4.3.1 Gather Subsystem Data and Import into MATLAB
4.3.2 Identify Constraint DOF
4.3.3 Decouple the TS from the Experimental Subsystem
4.3.4 Form Constraint Equations for Use in Abaqus
4.3.5 Write Auxiliary Abaqus Input File
4.4 Numerical Case Study
4.5 Experimental Test Case
4.6 Conclusions and Future Work
Appendix A: MATLAB Function to Generate Auxillary Abaqus Input File*-10pt
Truncated Auxillary Abaqus Input File for Beam Case Study
References
5 Vibration Test Design with Integrated Shaker Electro-Mechanical Models
5.1 Introduction
5.2 Theory
5.2.1 Frequency Based Substructuring
5.3 Shaker Electro-Mechanical Model
5.4 Example of Substructuring a Shaker to a Dynamic System
5.5 Example of Substructuring a Shaker Model to a Measured System
5.6 Using the Shaker Electro-Mechanical Model to Choose Shaker Locations
5.7 Conclusions
References
6 Reproducing a Component Field Environment on a Six Degree-of-Freedom Shaker
6.1 Motivation
6.2 Introduction and Background
6.3 Experimental Results and Discussion
6.4 Conclusion
References
7 In-Situ Source Characterization for NVH Analysis of the Engine-Transmission Unit
7.1 Introduction
7.2 Theory
7.2.1 In-Situ Blocked Force TPA
7.2.2 Virtual Point Transformation
7.2.3 Procedure of the iTPA
Blocked Force Calculation
On-Board Validation
Cross Validation
7.3 Vibration Prediction from Vehicle Measurements
7.3.1 Force Identification
Discrete Speed
Run-up
7.3.2 On-Board Validation
Discrete Speed
Run-up
7.3.3 Discussion
7.4 Conclusions
References
8 Using Modal Projection Error to Predict Success of a Six Degree of Freedom Shaker Test
8.1 Introduction
8.2 Modal Projection Error Theory
8.3 System Configurations
8.3.1 BARC
8.3.2 Removable Component on a Rigid Fixture
8.3.3 Removable Component on an Aerospace Structure
8.4 Environment Field and Laboratory Tests
8.5 Results
8.5.1 Aerospace Structure with RC Base DOFs
8.5.2 Aerospace Structure with Full Field RC DOFs
8.5.3 BARC
8.6 Conclusion and Future Work
References
9 On Dynamic Substructuring of Systems with Localised Nonlinearities
9.1 Introduction
9.2 Theory
9.2.1 Craig-Bampton Reduction
9.2.2 Integration and Coupling
9.2.3 With Sub-cycling
9.3 Case Study
9.4 Virtual Hybrid Simulation
9.4.1 Reduction of the Linear Frame
9.4.2 Comparison of Monolithic and Partitioned Solutions
9.4.3 Subcycling
9.5 Conclusions
References
10 Source Characterization for Automotive Applications Using Innovative Techniques
Nomenclature
10.1 Background
10.1.1 Component-Based TPA
10.1.2 Virtual Point Transformation
10.1.3 Techniques Presented Here
10.2 Analysis
10.2.1 Rigidness Correction for Low Frequency TPA
10.2.2 Reciprocal FRFs for Mid-Frequency TPA Predictions
10.2.3 Rotational FRFs for Mid- to High-Frequency TPA
10.3 Conclusion
References
11 Impact of Junction Properties on the Modal Behavior of Assembled Structures
11.1 Introduction
11.2 Modelling
11.3 Conclusion
References
12 Quantifying Joint Uncertainties for Hybrid System Vibration Testing
12.1 Introduction
12.2 Experimental Procedure
12.2.1 Test Component
12.2.2 Experimental Setup
12.2.3 Test Procedure
12.3 Numerical Model
12.4 Analysis
12.4.1 Joint Stiffness Calibration
12.5 Results and Discussion
12.5.1 Experimentally Determined Natural Frequencies
12.5.2 Stiffness Uncertainty Quantification
12.6 Conclusions and Future Work
References
13 Damping Identification and Model Updating of Boundary Conditions for a Cantilever Beam
13.1 Introduction
13.2 Theory
13.2.1 Model Reduction and Modal Expansion
13.2.2 SEREP Modal Expansion/Model Reduction
13.2.3 Inverse Eigensensitivity Approach
13.2.4 Non-proportional Damping
13.2.5 Direct Damping Updating
13.3 Simulated Beam
13.3.1 Model Setup
13.3.2 Results
13.4 Experimental Beam
13.4.1 Model Setup
13.4.2 Results
13.5 Discussion
13.6 Conclusion
References
14 An Experimental Substructure Test Object: Components Cut Out From a Steel Structure
14.1 Introduction
14.2 The Test Object
14.3 Finite Element Analyzes of the One Piece Structure
14.4 Finite Element Analyzes of the Two Components
14.5 Future Work
14.6 Conclusion
References
15 Frequency Based Model Mixing for Machine Condition Monitoring
15.1 Introduction
15.2 Numerical Model
15.3 Modal Expansion
15.4 Conclusion
References
16 Using a Machine Learning Approach for Computational Substructure in Real-Time Hybrid Simulation
16.1 Introduction
16.2 System Components and Capabilities
16.3 Modeling Assumptions
16.4 Model Parameters for HS
16.5 Validation for RTHS with FE Model
16.6 Methodology for Linear Regression Algorithm
16.7 Methodology for Recurrent Neural Network Algorithm
16.8 Summary and Conclusions
References
17 On the Stability of a Discrete Convolution with Measured Impulse Response Functions of Mechanical Components in Numerical Time Integration
17.1 Introduction
17.2 Error of the Discrete Convolution
17.2.1 Discrete Fourier Transformation
17.2.2 Error Due to the Approximation of an Integral with the Trapezoidal Rule
17.2.3 Discrete Convolution: Error Due to Trapezoidal Rule
17.3 Possibilities for Stabilization
17.3.1 Modal Fit
17.3.2 Filtering in the Frequency Domain
17.3.3 Decreasing High Frequency Content by the Use of Artificial Mass
17.3.4 Systematic Stabilization Approach
17.4 Examples
17.4.1 Two-Degree-of-Freedom Oscillator
17.4.2 Unbalance Rotor Mounted on a Beam
Measurement of cdof Driving Point IRF
IRF Treatment for the Sake of Stabilization
Reference Measurement of the Complete System Beam + Unbalance Rotor
Simulation
Comparison of Measurement and Simulation
17.5 Summary and Conclusion
References
18 Development of an Electrodynamic Actuator for an Automatic Modal Impulse Hammer
18.1 Introduction
18.1.1 What Is an Ideal Impact?
18.1.2 A Comment About Sampling Rate During Impact Testing
18.1.3 Development Potential of the AMimpact
18.2 Multibody Simulation
18.3 Actuator Design
18.3.1 Physical Principle
18.3.2 Finite Element Simulation of the Actuator
18.3.3 Electrical Circuit
18.3.4 Mechanical Design
18.4 Control Strategy
18.4.1 Position Sensing
18.4.2 Control Sequence
18.5 Verification Measurements
18.5.1 High-Speed Camera
18.5.2 Force
18.6 Conclusion
References

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