Vibration energy harvesting typically involves a mechanical oscillatory mechanism to
accumulate ambient kinetic energy, prior to the conversion to electrical energy through a …

We use the recent theory of spectral submanifolds (SSMs) for model reduction of nonlinear
mechanical systems subject to parametric excitations. Specifically, we develop expressions …

Including nonlinearity can lead to fascinating wave propagation behavior in phononic
crystals, broadening their possible applications in acoustic engineering. The current work …

This paper considers the dynamic response of a single degree of freedom system with
nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation …

Cable structures may be subjected to multiple support excitations and exhibit complex
nonlinear dynamic characteristics. To study the influence of phase-differed support …

This paper investigates the vibrational resonance and control of the response of a nonlinear
tilted cantilever beam under combined multi-harmonic low and non-resonant, high …

Nonlinear parametrically excited (NPE) systems govern the dynamics of many engineering
applications, from cable-stayed bridges where vibrations need to be suppressed, to energy …

The commencement of the semi-conductor industry in the second half of the last century
gave a surprising new outlook for engineered dynamical mechanical systems. It enabled …

Parametrically excited systems, where defining system parameters vary periodically with an
independent variable (time), are a popular research topic in engineering. Cable-stayed …

Purpose This paper addresses the challenge of pole placement for controlling a nonlinear
electromagnetic system using the receptance method. The system, consisting of a pair of …