Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media.​

The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media in a consistent format. They combine the material issued from a variety of engineering applications, spanning a wide range of length scale, characterized by structures and materials, both man-made and naturally occurring, featuring geometry, micro-structural and/or materials properties that vary periodically in space, including periodically stiffened plates, shells and beam-like as well as bladed disc assemblies, phononic metamaterials, photonic crystals and ordered granular media. Along with linear models and applications, analytical methodologies for analyzing and exploiting complex dynamical phenomena arising in nonlinear periodic systems are also presented.​

Mechanical Filters
Metamaterials
Periodic Systems
Wave Propagation

• Front Matter
• Waves and defect modes in structured media
• Piezoelectric Superlattices and Shunted Periodic Arrays as Tunable Periodic Structures and Metamaterials
• Topology optimization
• Map-based approaches for periodic structures
• Methodologies for Nonlinear Periodic Media

University “La Sapienza”, Rome, Italy
Francesco Romeo

Georgia Institute of Technology, Atlanta, USA
Massimo Ruzzene

Book Title
Wave Propagation in Linear and Nonlinear Periodic Media

Book Subtitle
Analysis and Applications

Editors
Francesco Romeo, Massimo Ruzzene

Series Title
CISM International Centre for Mechanical Sciences

DOI
https://doi.org/10.1007/978-3-7091-1309-7

Hardcover ISBN
978-3-7091-1308-0
Published: 26 July 2012

Softcover ISBN
978-3-7091-1712-5
Published: 20 August 2014

eBook ISBN
978-3-7091-1309-7
Published: 30 July 2013

Series ISSN
0254-1971

Series E-ISSN
2309-3706

Edition Number
1

Number of Pages
X, 326

Topics
Vibration, Dynamical Systems, Control, Applications of Nonlinear Dynamics and Chaos Theory, Applications of Mathematics