This work studies the active control effects on nonlinear phononic crystals by the
piezoelectric spring model. Both negative and positive proportional control actions are …

This book uses asymptotic methods to obtain simple approximate analytic solutions to
various problems within mechanics, notably wave processes in heterogeneous materials …

Different from the linear phononic crystals, elastic waves can exhibit more interesting
phenomena in periodic structures with nonlinear properties. By the active control action …

The nonreciprocal phenomenon appears in nonlinear acoustic metamaterial which are
composed of a linear phononic crystal and a nonlinear layer. Based on the nonlinear …

In this investigation, the nonreciprocal transmission of elastic waves is realized by
enlightenment of an acoustic diode. The phenomenon can be found in a nonlinear elastic …

We study propagation of wave packets through the interface between two dissimilar
harmonic chains with on-site potentials (eg, chains lying on elastic foundations). An …

In this investigation, the non-reciprocal transmission in a nonlinear elastic metamaterial with
imperfect interfaces is studied. Based on the Bloch theorem and stiffness matrix method, the …

In the paper we apply asymptotic technique based on the method of stationary phase and
obtain the approximate analytical description of thermal motions caused by a source on an …

We introduce a new wave phenomenon, which can be observed in continuum and discrete
systems, where a trapped mode exists under certain conditions, namely, the anti-localization …

This paper investigates both stability and vibration of nonlocal beams or plates in the
presence of compressive forces. Various nonlocal structural models have been proposed to …