Virtual Experiments in Mechanical Vibrations - Structural Dynamics and Signal Processing

Informationen zum Autor Michael J. Brennan is a former professor in the Department of Mechanical Engineering, São Paulo State University, Brazil, and also in the Institute of Sound and Vibration Research, University of Southampton, UK. He has extensive experience in teaching, research, and consulting in vibrations and signal processing. He has authored or co-authored more than 225 journal papers and approximately 220 conference papers. Bin Tang is a professor in the School of Energy and Power Engineering, Dalian University of Technology, China. He is the author of more than 60 publications in national and international journals, including Journal of Sound and Vibration, Applied Mechanics Reviews, and Soft Robotics Klappentext VIRTUAL EXPERIMENTS in MECHANICAL VIBRATIONSThe first book of its kind to explain fundamental concepts in both vibrations and signal processing using MATLAB virtual experimentsStudents and young engineers with a strong grounding in engineering theory often lack the practical skills and knowledge required to carry out experimental work in the laboratory. Fundamental and time-consuming errors can be avoided with the appropriate training and a solid understanding of basic concepts in vibrations and/or signal processing, which are critical to testing new designs.Virtual Experiments in Mechanical Vibrations: Structural Dynamics and Signal Processing is designed for readers with limited knowledge of vibrations and signal processing. The intention is to help them relate vibration theory to measurements carried out in the laboratory. With a hands-on approach that emphasizes physics rather than mathematics, this practical resource explains fundamental concepts in vibrations and signal processing. It uses the concept of a virtual experiment together with MATLAB to show how the dynamic properties of vibration isolators can be determined, how vibration absorbers can be designed, and how they perform on distributed parameter structures.Readers will find that this text:* Allows the concepts of experimental work to be discussed and simulated in the classroom using a physics-based approach* Presents computational virtual experiments using MATLAB examples to determine the dynamic behaviour of several common dynamic systems* Explains the rationale of virtual experimentation and describes typical vibration testing setups* Introduces the signal processing tools needed to determine the frequency response of a system from input and output data* Includes access to a companion website containing MATLAB codeVirtual Experiments in Mechanical Vibrations: Structural Dynamics and Signal Processing is a must-have resource for researchers, mechanical engineers, and advanced undergraduate and graduate students who are new to the subjects of vibrations, signal processing, and vibration testing. It is also an invaluable tool for universities where the possibilities of doing experimental work are limited. Zusammenfassung VIRTUAL EXPERIMENTS in MECHANICAL VIBRATIONSThe first book of its kind to explain fundamental concepts in both vibrations and signal processing using MATLAB virtual experimentsStudents and young engineers with a strong grounding in engineering theory often lack the practical skills and knowledge required to carry out experimental work in the laboratory. Fundamental and time-consuming errors can be avoided with the appropriate training and a solid understanding of basic concepts in vibrations and/or signal processing, which are critical to testing new designs.Virtual Experiments in Mechanical Vibrations: Structural Dynamics and Signal Processing is designed for readers with limited knowledge of vibrations and signal processing. The intention is to help them relate vibration theory to measurements carried out in the laboratory. With a hands-on approach that emphasizes physics rather than mathematics, this practical resource explains fundamental co...

List of contents

Preface xiii
 
List of Abbreviations xv
 
List of Symbols xvii
 
About the Companion Website xxi
 
1 Introduction 1
 
1.1 Introduction 1
 
1.2 Typical Laboratory-Based Vibration Tests 3
 
1.3 Relationship Between the Input and Output for a SISO System 5
 
1.4 A Virtual Vibration Test 6
 
1.5 Some Notes on the Book 7
 
References 7
 
2 Fundamentals of Vibration 9
 
2.1 Introduction 9
 
2.2 Basic Concepts - Mass, Stiffness, and Damping 9
 
2.3 Single Degree-of-Freedom System 11
 
2.4 Free Vibration 11
 
2.5 Impulse Response Function (IRF) 13
 
2.6 Determination of Damping from Free Vibration 17
 
2.7 Harmonic Excitation 19
 
2.8 Frequency Response Function (FRF) 22
 
2.9 Other Features of the Receptance FRF 28
 
2.10 Determination of Damping from an FRF 29
 
2.11 Reciprocal FRF 33
 
2.12 Summary 35
 
References 37
 
3 Fourier Analysis 39
 
3.1 Introduction 39
 
3.2 The Fourier Transform (FT) 39
 
3.2.1 Example - SDOF system 44
 
3.3 The Discrete Time Fourier Transform (DTFT) 45
 
3.4 The Discrete Fourier Transform (DFT) 48
 
3.5 Inverse Fourier Transforms 53
 
3.6 Summary 57
 
References 58
 
4 Numerical Computation of the FRFs and IRFs of an SDOF System 61
 
4.1 Introduction 61
 
4.2 Effect of Sampling on the FRFs 61
 
4.2.1 Receptance 62
 
4.2.2 Mobility 66
 
4.2.3 Accelerance 71
 
4.3 Effect of Data Truncation 77
 
4.4 Effects of Sampling on the IRFs Calculated Using the IDFT 85
 
4.5 Summary 91
 
References 92
 
5 Vibration Excitation 93
 
5.1 Introduction 93
 
5.2 Vibration Excitation Devices 93
 
5.2.1 Electrodynamic Shaker 93
 
5.2.2 Instrumented Impact Hammer 94
 
5.3 Vibration Excitation Signals 96
 
5.3.1 Excitation at a Single Frequency 98
 
5.3.2 Excitation Using a Random Signal 104
 
5.3.3 Excitation Using a Chirp or Swept Sine 110
 
5.3.4 Excitation Using a Half-Sine Pulse 113
 
5.4 Summary 117
 
References 117
 
6 Determination of the Vibration Response of a System 119
 
6.1 Introduction 119
 
6.2 Determination of the Vibration Response 119
 
6.2.1 Convolution in the Time Domain 119
 
6.2.2 Calculation of the Response via the Frequency Domain 120
 
6.2.3 Numerical Integration of the Equation of Motion 121
 
6.3 Calculation of the Vibration Response of an SDOF System 121
 
6.3.1 Impulsive Force 122
 
6.3.2 Half-sine Force Impulse 122
 
6.3.3 Chirp (Swept Sine) Force Input 123
 
6.3.4 Random Force Input 125
 
6.4 Summary 129
 
References 130
 
7 Frequency Response Function (FRF) Estimation 131
 
7.1 Introduction 131
 
7.2 Transient Excitation 131
 
7.2.1 H1 and H2 Estimators 134
 
7.2.2 Coherence Function 135
 
7.2.3 Examples 137
 
7.3 Random Excitation 144
 
7.4 Comparison of Excitation Methods and Effects of Shaker-Structure Interaction 151
 
7.5 Virtual Experiment - Vibration Isolation 157
 
7.5.1 The Physics of Vibration Isolation 157
 
7.5.2 Experimental Determination of the Stiffness and Damping of a Vibration Isolator 159
 
7.5.3 Experiment to Investigate the Trade-off Between Decreasing the Response at the Resonance Frequency and Improving Vibration Isolation 163
 
7.6 Summary 167
 
References 168
 
8 Multi-Degre

Product details

• Authors: Michael J Brennan, Michael J. Brennan, Michael J. (Southampton University Brennan, Michael J. Tang Brennan, Mj Brennan, Brennan Michael J., Bin Tang, Bin Brennan Tang, Tang Bin
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 28.10.2022
• EAN: 9781118307977
• ISBN: 978-1-118-30797-7
• No. of pages: 336
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; Maschinenbau, Signalverarbeitung, Vibration, Mechanical Engineering, Solid Mechanics, Signal Processing, Electrical & Electronics Engineering, Elektrotechnik u. Elektronik, Festkörpermechanik, Computational / Numerical Methods, Rechnergestützte / Numerische Verfahren im Maschinenbau