Wave attenuation, filtering and guiding is an ongoing topic of scientific research, as there are many opportunities for improvement existing solutions in modern industry. One the recent advancements has been made with use non-reciprocal metamaterials.Certain properties metamaterials have them suitable various engineering fields. In this study, we investigate wave propagation behavior coupled th...

Abstract Described is a closed-loop control scheme capable of stabilizing parametrically excited nonlinear structure in several vibration modes. By setting the relative phase between spatially filtered response and excitation, open-loop unstable solution branches are stabilized under 2:1 parametric excitation chosen mode vibration. For given phase, automatically locks on limit cycle, through an...

An efficient and accurate analytical solution is provided using the homotopy-Pade technique for the nonlinear vibration of parametrically excited cantilever beams. The model is based on the Euler-Bernoulli assumption and includes third order nonlinear terms arisen from the inertial and curvature nonlinearities. The Galerkin’s method is used to convert the equation of motion to a nonlinear ordin...

This work investigates the nonlinear behavior of a representative parametrically amplified macroscale structure. Specifically, the effort examines the effects of structural and inertial nonlinearities on the near-resonant response of a base-excited, flexible cantilever beam driven by a combined (simultaneously parametric and direct) excitation. The prototypical structure is modeled using classi...

In this paper, we investigate the synchronization of chaotic systems consisting of non-identical parametrically excited oscillators. The active control technique is employed to design control functions based on Lyapunov stability theory and Routh–Hurwitz criteria so as to achieve global chaos synchronization between a parametrically excited gyroscope and each of the parametrically excited pendu...