A smart composite-piezoelectric one-dimensional finite element model for vibration damping analysis

Abstract

A one-dimensional finite element method for generally layered smart beams is presented in this paper. The model implements the first-order shear deformation beam theory and is based on the preliminary analytical condensation of the electric state to the mechanical state. This allows us to establish an effective mechanical beam kinematically equivalent to the original smart beam including the effects of electro-elastic couplings. The contributions of the external electric loads are included in both the equivalent stiffness properties and the equivalent mechanical boundary conditions. Hermite shape functions, which depend on parameters representative of the staking sequence through the equivalent electro-elastic stiffness coefficients, are used to formulate the finite element method. The state space representation is then invoked for the assembled smart beam finite element model to favor its implementation in a block diagram environment for multi-domain simulation. Validation results and solutions for passive and active vibrations damping system are presented last

Assessment of FGPM shunt damping for vibration reduction of laminated composite beams

“…) of the beam under step loading is shown and compared with the results of Alaimo et al [12] in Fig. 5.…”

“…The results are shown in Table 3. For a ¼0, the considered smart composite beam of the present example reduces to the smart beam examined by Alaimo et al [12]. They analyzed this problem using a 1D beam element based on the first-order shear deformation theory.…”

“…In Ref. [12], a similar damping performance index is employed. Variations of the damping performance index with respect to the resistance of shunt circuit are shown in Fig.…”

“…They employed a one-dimensional coupled electromechanical analytical model based on equivalent single-layer Euler-Bernoulli beam model to design modal and uniform electrodes of piezoelectric transducers. Alaimo et al [12] presented a one-dimensional finite element method for active and passive vibration damping of layered piezoelectric beams. The model of these researchers is based on the first-order shear deformation beam theory.…”

High loss factor piezoelectric damping composite with three-dimensional reduced graphene oxide as the conductive phase

“…They are very promising for both active and passive vibration control in many industries, such as the automobile, airplane, aerospace, railway, sports, and engineering industries. 2 The rst piezoelectric damping composite with a piezoelectric ceramic/polymer structure was reported by Forward. 3 According to the theory of piezoelectric shunt damping, adding an appropriate piezoelectric component and a conductive phase to damping materials can be advantageous for energy dissipation.…”