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 velocities3.3 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.