Nonlinear targeted energy transfer of two coupled cantilever beams coupled to a bistable light attachment

Energy Transfer and Dissipation in a Duffing Oscillator Coupled to a Nonlinear Attachment

The dynamics of a two-degree-of-freedom nonlinear system consisting of a grounded Duffing oscillator coupled to an essentially nonlinear attachment is examined in the present study. The underlying Hamiltonian system is first considered, and its nonlinear normal modes are computed using numerical continuation and gathered in a frequencyenergy plot. Based on these results, the damped system is th...

Analysis of the Coupled Nonlinear Vibration of a Two-Mass System

This paper presents a fixed-end two-mass system (TMS) with end constraints that permits uncoupled solutions for different masses. The coupled nonlinear models for the present fixed-end TMS were solved using the continuous piecewise linearization method (CPLM) and detailed investigation on the effect of mass-ratio on the TMS response was conducted. The investigations showed that increased mass-r...

Nonlinear Properties of Energy Transfer in Molecular Aggregates Coupled to a Vibrational Environment

Iterative scheme to a coupled system of highly nonlinear fractional order differential equations

In this article, we investigate sufficient conditions for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with mixed type boundary conditions. To achieve this goal, we apply monotone iterative technique together with the method of upper and lower solutions. Also an error estimation is given to check the accuracy of th...

Phase-dependent dynamic potential of magnetically coupled two-degree-of-freedom bistable energy harvester

A system of magnetically coupled oscillators has been recently considered as a promising compact structure to integrate multiple bistable energy harvesters (BEHs), but its design is not straightforward owing to its varying potential energy pattern, which has not been understood completely yet. This study introduces the concept of phase-dependent dynamic potential in a magnetically coupled BEH s...