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Elastic Waves and Metamaterials: The Fundamentals

ISBN-13: 9789819902040 / Angielski

Yoon Young Kim
Elastic Waves and Metamaterials: The Fundamentals Yoon Young Kim 9789819902040 Springer - książkaWidoczna okładka, to zdjęcie poglądowe, a rzeczywista szata graficzna może różnić się od prezentowanej.

Elastic Waves and Metamaterials: The Fundamentals

ISBN-13: 9789819902040 / Angielski

Yoon Young Kim
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This book serves as an introductory text for students and engineers with limited knowledge of metamaterials (and elastic waves).This text begins with the most straightforward vibrating systems, such as single and 2-DOF spring-mass systems. It examines the observed phenomena in 2-DOF systems in an unconventional manner to prepare the reader for research on metamaterials. After presenting wave phenomena in an infinitely connected spring-mass system, an elastic bar, a continuous version of an infinite system, is analyzed. This instructional strategy, which progresses from the discrete model to the continuous model, facilitates efficient comprehension of wave and metamaterial concepts. Using continuous and discrete one-dimensional models, bending waves and their manipulation through metamaterials are also discussed. In the latter chapters of this book, advanced readers are introduced to the fundamental wave phenomena in two-dimensional media and wave manipulation using metamaterials, such as mode-converting transmission.As wave phenomena are the fundamental phenomena in vibrating structures, those interested in acoustics and vibration would gain a great deal of knowledge from this book, as the material covered in it offers a very different perspective on oscillatory phenomena than what is typically found in books on acoustics and vibration. Because this book presents a new technique for manipulating waves using metamaterials, engineers and scientists who work with (ultra)sounds and structural vibrations would find it very useful for expanding their knowledge of relevant topics.

This book serves as an introductory text for students and engineers with limited knowledge of metamaterials (and elastic waves). This text begins with the most straightforward vibrating systems, such as single and 2-DOF spring-mass systems. It examines the observed phenomena in 2-DOF systems in an unconventional manner to prepare the reader for research on metamaterials. After presenting wave phenomena in an infinitely connected spring-mass system, an elastic bar, a continuous version of an infinite system, is analyzed. This instructional strategy, which progresses from the discrete model to the continuous model, facilitates efficient comprehension of wave and metamaterial concepts. Using continuous and discrete one-dimensional models, bending waves and their manipulation through metamaterials are also discussed. In the latter chapters of this book, advanced readers are introduced to the fundamental wave phenomena in two-dimensional media and wave manipulation using metamaterials, such as mode-converting transmission. As wave phenomena are the fundamental phenomena in vibrating structures, those interested in acoustics and vibration would gain a great deal of knowledge from this book, as the material covered in it offers a very different perspective on oscillatory phenomena than what is typically found in books on acoustics and vibration. Because this book presents a new technique for manipulating waves using metamaterials, engineers and scientists who work with (ultra)sounds and structural vibrations would find it very useful for expanding their knowledge of relevant topics.

Kategorie:
Technologie
Kategorie BISAC:
Technology & Engineering > Materials Science - Electronic Materials
Technology & Engineering > Microwaves
Science > Optyka
Wydawca:
Springer
Język:
Angielski
ISBN-13:
9789819902040

Chapter 1. Introduction

 

1.1 Mechanical Waves

1.2 Waves versus Vibrations

1.3 Phonic Crystals and Metamaterials for Advanced Wave Manipulation

 

Chapter 2. Fundamentals

 

2.1 Undamped free vibration of a 1-DOF system

2.2 Damped free and forced vibration of a 1-DOF system

2.3 Impedance and Power in 1-DOF system

2.4 Vibration of the undamped 2-DOF system and effective mass concept

2.5 Dynamic vibration absorber: resulting physical phenomena

2.6 Dynamic vibration absorber interpreted by effective mass

 

Chapter 3. Longitudinal waves in 1-D lattices

 

3.1   Governing equation and general solution

3.2   Phase, energy, and group velocities

3.3   Characteristic Impedance

3.4   Dispersion relation for  

 

Chapter 4. Longitudinal waves in 1-D diatomic lattices

 

4.1 Governing equation

4.2 Dispersion relation (for passband)

4.3 Dispersion relation for the stopband

 

Chapter 5. Effective mass property manipulation in 1-D lattice systems

5.1 Frequency-dependent Effective Mass

5.2 Frequency-dependent Effective Stiffness

5.3 Double Negative Effective Material Properties

 

Chapter 6. Metamaterials: effective property realization

 

6.1 Metamaterial modeling via a spring-mass system

6.2 Evaluation of frequency-dependent effective mass

6.3 Evaluation of frequency-dependent effective mass

6.4 Metamaterial with frequency-dependent effective mass and stiffness

 

Chapter 7. Longitudinal waves in 1-D continuum bars

                                   (This chapter may be split into two chapters.)

*A sample chapter will cover section 7.1. up to section 7.15.

 

7.1 Governing wave equation

7.2 General solution to the 1-D wave equation

7.3 Characteristic impedance

7.4 Reflection and transmission

7.5 Energy perspective of a wave in a bar

7.6 Impedance matching

7.7 Fabry-Perot resonance

7.8 Standing waves

7.9 Dispersive longitudinal waves – metamaterial interpretation

7.10 Transfer matrix approach

7.11 Bloch-Floquet Theorem

7.12 Dispersion analysis of periodic continuum body (phononic crystal)

7.13 The analysis of stopband in periodic continuum body

7.14 Periodic bar structure consisting of quarter-wave stacks

7.15 Metamaterial characterization using the S parameters

7.16 Resonator-based metamaterial for signal amplification (advanced topic)

7.17 Metasurface (advanced topic)

Chapter 8. Flexural Waves in a Beam

 

8.1 Wave analysis by Euler-Bernoulli beam theory

8.2 Reflection and transmission

8.3 Wave analysis based on Timoshenko beam theory

8.4 Actuation/sensing enhancement of flexural waves (advanced topic)

8.5 Flexural waves in a lattice consisting of periodic discrete elements

 

Chapter 9. Wave manipulation in 2D elastic media using metamaterials

91. Governing field equations in elastic media

9.2 Dispersion relations in 2D anisotropic/isotropic media

9.3 State-vector representation

9.4 Reflection and transmission across two dissimilar isotropic media

94.1 Reflected and transmitted angles for longitudinal wave incidence

9.4.2 Reflected and transmitted angles for transverse wave incidence

94.3 Reflection and transmission coefficients

9.5 Perfect mode-conversion between dissimilar isotropic media – normal incidence

9.5.1 Theory

9.5.2 Applications

9.6 Perfect mode-conversion between dissimilar isotropic media – oblique incidence

9.6.1 Theory

9.6.2 Applications

Dr. Yoon Young Kim is a distinguished professor at Seoul National University (SNU), being a member of the Korean Academy of Science and Technology and the National Academy of Engineering, Korea. He was educated at SNU for his BS and MS and Stanford University for his Ph.D. His research is focused on elastic wave and metamaterials and design optimization. He served as the president of the Korean Society of Mechanical Engineers, a vice-president of Int. Society of Structural and Multidisciplinary Optimization (SMO), and the president of the Asian Society of SMO. He is an executive committee member of Int. Association for Computational Mechanics and was a co-chair of the World Congress on Computational Mechanics (2016). His recent awards include the JSCES (Japan Soceity for Computational Engineering and Science) Grand Prize (2022), the National Medal of Honor in Science and Technology (2021), the Mechanical Engineer of the Year (2019), Excellent Education Award of Dept. of Mech. Eng., SNU (2019), and SNU Research Excellence Award (2018).

This book serves as an introductory text for students and engineers with limited knowledge of metamaterials (and elastic waves).

This text begins with the most straightforward vibrating systems, such as single and 2-DOF spring-mass systems. It examines the observed phenomena in 2-DOF systems in an unconventional manner to prepare the reader for research on metamaterials. After presenting wave phenomena in an infinitely connected spring-mass system, an elastic bar, a continuous version of an infinite system, is analyzed. This instructional strategy, which progresses from the discrete model to the continuous model, facilitates efficient comprehension of wave and metamaterial concepts. Using continuous and discrete one-dimensional models, bending waves and their manipulation through metamaterials are also discussed. In the latter chapters of this book, advanced readers are introduced to the fundamental wave phenomena in two-dimensional media and wave manipulation using metamaterials, such as mode-converting transmission.

As wave phenomena are the fundamental phenomena in vibrating structures, those interested in acoustics and vibration would gain a great deal of knowledge from this book, as the material covered in it offers a very different perspective on oscillatory phenomena than what is typically found in books on acoustics and vibration. Because this book presents a new technique for manipulating waves using metamaterials, engineers and scientists who work with (ultra)sounds and structural vibrations would find it very useful for expanding their knowledge of relevant topics.



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