Mechanical Wave Vibrations - Analysis and Control

Mechanical Wave Vibrations
 
An elegant and accessible exploration of the fundamentals of the analysis and control of vibration in structures from a wave standpoint
 
In Mechanical Wave Vibrations: Analysis and Control, Professor Chunhui Mei delivers an expert discussion of the wave analysis approach (as opposed to the modal-based approach) to mechanical vibrations in structures. The book begins with deriving the equations of motion using the Newtonian approach based on various sign conventions before comprehensively covering the wave vibration analysis approach. It concludes by exploring passive and active feedback control of mechanical vibration waves in structures.
 
The author discusses vibration analysis and control strategies from a wave standpoint and examines the applications of the presented wave vibration techniques to structures of various complexity. Readers will find in the book:
* A thorough introduction to mechanical wave vibration analysis, including the governing equations of various types of vibrations
* Comprehensive explorations of waves in simple rods and beams, including advanced vibration theories
* Practical discussions of coupled waves in composite and curved beams
* Extensive coverage of wave mode conversions in built-up planar and spatial frames and networks
* Complete treatments of passive and active feedback wave vibration control
* MATLAB(r) scripts both in the book and in a companion solutions manual for instructors
 
Mechanical Wave Vibrations: Analysis and Control is written as a textbook for both under-graduate and graduate students studying mechanical, aerospace, automotive, and civil engineering. It will also benefit researchers and educators working in the areas of vibrations and waves.

List of contents

Preface xi
 
Acknowledgement xiii
 
About the Companion Website xv
 
1 Sign Conventions and Equations of Motion Derivations 1
 
1.1 Derivation of the Bending Equations of Motion by Various Sign Conventions 1
 
1.1.1 According to Euler-Bernoulli Bending Vibration Theory 2
 
1.1.2 According to Timoshenko Bending Vibration Theory 7
 
1.2 Derivation of the Elementary Longitudinal Equation of Motion by Various Sign Conventions 10
 
1.3 Derivation of the Elementary Torsional Equation of Motion by Various Sign Conventions 12
 
2 Longitudinal Waves in Beams 15
 
2.1 The Governing Equation and the Propagation Relationships 15
 
2.2 Wave Reflection at Classical and Non-Classical Boundaries 16
 
2.3 Free Vibration Analysis in Finite Beams - Natural Frequencies and Modeshapes 20
 
2.4 Force Generated Waves and Forced Vibration Analysis of Finite Beams 24
 
2.5 Numerical Examples and Experimental Studies 27
 
2.6 MATLAB Scripts 32
 
3 Bending Waves in Beams 39
 
3.1 The Governing Equation and the Propagation Relationships 39
 
3.2 Wave Reflection at Classical and Non-Classical Boundaries 40
 
3.3 Free Vibration Analysis in Finite Beams - Natural Frequencies and Modeshapes 46
 
3.4 Force Generated Waves and Forced Vibration Analysis of Finite Beams 50
 
3.5 Numerical Examples and Experimental Studies 55
 
3.6 MATLAB Scripts 59
 
4 Waves in Beams on a Winkler Elastic Foundation 69
 
4.1 Longitudinal Waves in Beams 69
 
4.1.1 The Governing Equation and the Propagation Relationships 69
 
4.1.2 Wave Reflection at Boundaries 70
 
4.1.3 Free Wave Vibration Analysis 71
 
4.1.4 Force Generated Waves and Forced Vibration Analysis of Finite Beams 72
 
4.1.5 Numerical Examples 76
 
4.2 Bending Waves in Beams 79
 
4.2.1 The Governing Equation and the Propagation Relationships 79
 
4.2.2 Wave Reflection at Classical Boundaries 82
 
4.2.3 Free Wave Vibration Analysis 84
 
4.2.4 Force Generated Waves and Forced Wave Vibration Analysis 84
 
4.2.5 Numerical Examples 89
 
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5 Coupled Waves in Composite Beams 97
 
5.1 The Governing Equations and the Propagation Relationships 97
 
5.2 Wave Reflection at Classical and Non-Classical Boundaries 100
 
5.3 Wave Reflection and Transmission at a Point Attachment 102
 
5.4 Free Vibration Analysis in Finite Beams - Natural Frequencies and Modeshapes 104
 
5.5 Force Generated Waves and Forced Vibration Analysis of Finite Beams 105
 
5.6 Numerical Examples 108
 
5.7 MATLAB Script 114
 
6 Coupled Waves in Curved Beams 119
 
6.1 The Governing Equations and the Propagation Relationships 119
 
6.2 Wave Reflection at Classical and Non-Classical Boundaries 121
 
6.3 Free Vibration Analysis in a Finite Curved Beam - Natural Frequencies and Modeshapes 127
 
6.4 Force Generated Waves and Forced Vibration Analysis of Finite Curved Beams 128
 
6.5 Numerical Examples 134
 
6.6 MATLAB Scripts 143
 
7 Flexural/Bending Vibration of Rectangular Isotropic Thin Plates with Two Opposite Edges Simply-supported 151
 
7.1 The Governing Equations of Motion 151
 
7.2 Closed-form Solutions 152
 
7.3 Wave Reflection, Propagation, and Wave Vibration Analysis Along the Simply-supported X Direction 154
 
7.4 Wave Reflection, Propagation, and Wave Vibration Analysis Along the y Direction 156
 
7.4.1 Wave Reflection at a Classical Boundary along the y Direction 157
 
7.4.2 Wave Propagation and

About the author

Chunhui Mei is a Professor in the Department of Mechanical Engineering at the University of Michigan-Dearborn. She has over twenty years' research and teaching experience on vibrations, controls, and instrumentation and measurement systems. She served as an Associate Editor for ASME Journal of Vibration and Acoustics.

Product details

• Authors: Chunhui Mei, Chunhui (University of Michigan-Dearborn Mei
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 10.08.2023
• EAN: 9781119135043
• ISBN: 978-1-119-13504-3
• No. of pages: 448
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; Maschinenbau, Vibration, Baustatik, Mechanical Engineering, Solid Mechanics, Bauingenieur- u. Bauwesen, Civil Engineering & Construction, Baustatik u. Baumechanik, Festkörpermechanik, Structural Theory & Structural Mechanics, Mess- u. Regeltechnik, Control Process & Measurements