Abstract: The concept of nonlinear normal mode (NNM) is used to study localized oscillations in certain classes of oscillators governed by nonlinear partial differential equations. NNMs are synchronous ...

Abstract: Transient nonlinear localization and beat phenomena are studied in a system of two rods coupled with a nonlinear backlash spring. The method of Karhunen-Loeve (K-L) decomposition is used to ...

Abstract: We study asymptotically the family of subharmonic responses of an essentially nonlinear oscillator forced by two closely spaced harmonics. By expressing the original oscillator in action-angle ...

Abstract: We analyze the dynamics of strongly nonlinear granular chains of beads in Hertzian contact with light intruders. We show that the interactions of the light intruders with solitary pulses ...

Abstract: Energy harvesting devices designed with intentional nonlinearities offer the possibility of increased performance under broadband excitations and realistic environmental conditions. This work considers ...

Abstract: We examine passive energy pumping in a system of damped coupled oscillators. This is a one-way, passive and irreversible energy flow from a linear main system to a nonlinear attachment that ...

Abstract: This work considers the performance of a resonant vibration-based energy harvesting system utilizing a strongly nonlinear attachment. Typical designs serving as the basis for harvesting energy ...

Abstract: We study the stiffening and damping effects that local essentially nonlinear attachments can have on the dynamics of a primary linear structure. These local attachments can be designed to act ...