Finite Element Modeling of Nonlinear Vibration Behavior of Piezo-Beam

Focusing on the nonlinear vibration behavior of piezoceramics, this book explores the effects observed when these materials are subjected to weak electric fields, revealing dependencies between resonance frequency and vibration amplitude. It presents a finite element model that incorporates nonlinear constitutive relations derived from Hamilton's principle. The equations of motion are simplified through modal reduction and solved using harmonic balance and numerical integration. The model's accuracy is validated through experimental comparisons with piezo-beam systems excited near their natural frequencies.