Dynamic Response Optimization of Asymmetrically Configured Piezoelectric Fans

Abstract

Piezoelectric fans typically consist of one piezoelectric patch bonded on one side of a thin, flexible elastic beam. The fan is excited at resonance and used to drive unsteady flows to cool microelectronics components. Field equations of the coupled structure governing the coupled longitudinal and bending motions of the fan are derived using linear constitutive equations, slender beam approximations, and Hamilton’s principle. Analytical solutions are found to the coupled eigenvalue problem. Eigenvalues and eigenfunctions for closed and open circuited configurations are predicted analytically and are found to be in excellent agreement with three-dimensional finite element results. Electromechanical Coupling Factors (EMCF) are computed using the analytical and finite element models and optimal fan geometries are identified for maximal EMCF. The analytical solution provides a convenient tool for the optimal design of such fans.

Two-dimensional streaming flows induced by resonating, thin beams

“…As opposed to the infinite beam, the piezoelectric fan has specific modal frequencies. A slender beam model of the piezoelectric fan was presented in Basak et al 25 From Ref. 25 the first mode shape ͑resonance frequency of 60 Hz͒ of a commercial piezoelectric fan with dimensions/material properties shown in Table I is given by…”

Theoretical and experimental research of caudal-fin-type piezoelectric-stack pump with variable-cross-section oscillating vibrato

“…Ever since then, the research on air-cooling system that relied on piezoelectric vibration had gained more and more attentions, and the system was becoming one of the cooling solutions for high integration level electronic products such as laptop, fuel cell and cell phone. Ju Hyun Yoo investigated the possibility of replacing the rotary-type fan in some noise-sensitive electronic devices in 2000 [2] ; optimization of the dynamic response of the piezoelectrically-excited thin resonant beam was carried out by Sudipta Basak et al in 2005 [3] . But all these researches focused on the situations in which air was the working medium.…”