Abstract:
The present study focuses on understanding and optimizing the dynamic response
of cantilever beams under time-harmonic parametric excitation in order to maximize the
maximum response attainable for energy harvesting applications. Employing both analytical
and experimental methodologies, the study investigates key parameters influencing the
system's performance, including the effects of nonlinear inertia, Duffing-type nonlinearity,
material and geometrical properties, and excitation frequency. Analytical methods, including
the Method of Varying Amplitudes and the Method of Multiple Scales, are employed to
obtain approximate analytical solutions representing the dynamic response characteristics of
the system. Experimental validation is conducted to corroborate the theoretical findings,
ensuring practical applicability. The results show that the response of the system is highly
dependent on the values of the Duffing-type nonlinearity term and the nonlinear inertia
term, demonstrating significant potential for energy harvesting in cantilever beam systems
through tailored parametric excitation strategies.