The aim of this study is to develop an accurate geometrical model for cantilever beams undergoing large displacements and rotations, with a focus on improvement in energy harvesting efficiency. Addressing the shortcomings of existing models, this work provides a comprehensive framework for investigating the static and dynamic responses of systems with microfiber composite piezoelectric (MFC) materials.
The proposed model is developed based on the continuous media mechanics and includes all the strain terms to capture the nonlinear behavior of the beam effectively. The case study is a three-layer energy-harvesting beam fabricated with MFC materials. The static analysis is carried out using both the Rayleigh–Ritz and Newton–Raphson methods, while the Hamiltonian principle is applied for dynamic simulations. Numerical results are validated through experimental testing that demonstrates the system’s response to base vibrations.
The model demonstrates increased accuracy in predicting the static and dynamic response of cantilever beams, specifically in nonlinear cases with large displacements. Experimental verification proves its efficiency and suggests its potential for the optimization of energy-harvesting techniques.
In this respect, this work seeks to address conspicuous lacunas in current literature by presenting a general, all-inclusive geometric model that captures all strain components relevant to energy-harvesting beams. The present research addresses the establishment of a solid framework for the examination of nonlinear phenomena and dynamic responses, furthering the current understanding of energy-harvesting systems design and setting a platform for prospective advancements within this field.
