Wave Propagation in Linear and Nonlinear Periodic Media [electronic resource] : Analysis and Applications /
International Centre for Mechanical Sciences.
Romeo, Francesco.editor.
Ruzzene, Massimo.editor.
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.
At head of title: International Centre for Mechanical Sciences.
Includes bibliographical references.
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.
Vibration.
Dynamical systems.
Dynamics.
Statistical physics.
Applied mathematics.
Engineering mathematics.
Vibration, Dynamical Systems, Control.
Applications of Nonlinear Dynamics and Chaos Theory.
Applications of Mathematics.
Courses and lectures /