Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook

Abstract

The study of phononic materials and structures is an emerging discipline that lies at the crossroads of vibration and acoustics engineering and condensed matter physics. Broadly speaking, a phononic medium is a material or structural system that usually exhibits some form of periodicity, which can be in the constituent material phases, or the internal geometry, or even the boundary conditions. As such, its overall dynamical characteristics are compactly described by a frequency band structure, in analogy to an electronic band diagram. With roots extended to early studies of periodic systems by Newton and Rayleigh, the field has grown to encompass engineering configurations ranging from trusses and ribbed shells to phononic crystals and metamaterials. While applied research in this area has been abundant in recent years, treatment from a fundamental mechanics perspective, and particularly from the standpoint of dynamical systems, is needed to advance the field in new directions. For example, techniques already developed for the incorporation of damping and nonlinearities have recently been applied to wave propagation in phononic materials and structures. Similarly, numerical and experimental approaches originally developed for the characterization of conventional materials and structures are now being employed toward better understanding and exploitation of phononic systems. This article starts with an overview of historical developments and follows with an in-depth literature and technical review of recent progress in the field with special consideration given to aspects pertaining to the fundamentals of dynamics, vibrations, and acoustics. Finally, an outlook is projected onto the future on the basis of the current trajectories of the field.

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

“…Research interest has therefore focused towards achieving increased structural damping through measures of reduced mass, volume and cost impact. A methodology receiving increasing attention due to its attenuation efficiency (particularly in the low-frequency range) is the inclusion of internal tuned resonators [1]. As demonstrated below, a number of authors has suggested that the inclusion of negative stiffness elements in the structural ensemble, can drastically amplify internal oscillations and consequently the structural damping performance of the configuration.…”

Band Structures Analysis Method of Two-Dimensional Phononic Crystals Using Wavelet-Based Elements

“…The existence of a phononic band-gap where the propagation of acoustic or elastic waves is forbidden exhibits a lot of potential applications, such as noise reduction, acoustic filters, etc. [4]. The mechanism for tuning PC band-gap also possesses significant practical applications in the design of vibrationless environments for high-precision mechanical systems [5].…”

Scattering of flexural waves from a hole in a thin plate with an internal beam

“…Examples of potential applications of this local resonator, range from vibration absorption 25 to an elastic analogous of graphene. 26 For more information on this topic, the reader is referred to the reviews [27][28][29] and references therein.…”