Stability and bifurcation analysis of a 2DOF dynamical system with piezoelectric device and feedback control.

ABSTRACT: This study aims to demonstrate the behaviors of a two degree-of-freedom (DOF) dynamical system consisting of attached mass to a nonlinear damped harmonic spring pendulum with a piezoelectric device. Such a system is influenced by a parametric excitation force on the direction of the spring's elongation and an operating moment at the supported point. A negative-velocity-feedback (NVF) controller is inserted into the main system to reduce the undesired vibrations that affect the system's efficiency, especially at the resonance state. The equations of motion (EOM) are derived by using Lagrangian equations. Through the use of the multiple-scales-strategy (MSS), approximate solutions (AS) are investigated up to the third order. The accuracy of the AS is verified by comparing them to the obtaine

SUBMITTER: Bahnasy TA 

PROVIDER: S-EPMC11531538 | biostudies-literature | 2024 Nov

REPOSITORIES: biostudies-literature