Application of Energy Finite Element Method in Active Vibration Control of Piezoelectric Intelligent Beam

Abstract

Based on the transmission and equilibrium relationship of vibration energy in beam-like structures, the Galerkin weighted residual method was applied to equation discretization. An equivalent transformation of feedback element was suggested to develop the Energy Finite Element model of a composite piezoelectric cantilever beam driven by harmonic excitation on lateral direction, with both systems with and without time delay being studied and the power input estimation of harmonic excitation was discussed for the resolution of Energy Finite Element function. Then the energy density solutions of the piezoelectric coupling beam through Energy Finite Element Method (EFEM) and classical wave theory were compared to verify the EFEM model, which presented a good accordance. Further investigation was undertaken about the influence of control parameters including the feedback gain and arrangement of piezoelectric patches on characteristics of system energy density distribution.

Review of Active Vibration Control using Piezoelectric Patch

“…Piezoelectric modal analysis also can be utilized in optimization of the location of the actuators and sensors for various applications to attenuate the actuation effort and to maximise the sensing capability, respectively. Jinhua Xie, Rui Huo, Yanfeng Guan, and Zhen Zhou [15] In this paper, based on the transmission and equilibrium relationship of vibration energy in beam-like structures, the Galerkin weighted residual method was applied to equation discretization. An equivalent transformation of feedback element is suggested to develop the Energy Finite Element model of a composite piezoelectric cantilever beam driven by harmonic excitation on lateral direction, both systems with and without time delay are being studied.…”