Axisymmetric Free Vibration of Soft Electroactive Circular Plates under Biasing Fields  

作　　者：Yuze Cao Jun Zhu Bin Wu Weiqiu Chen 

机构地区：[1]Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province and Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China [2]State Key Laboratory of CAD&CG,Zhejiang University,Hangzhou 310058,China [3]Nantong Taisheng Blue Island Ocean Engineering Co,Nantong,China [4]School of Mathematics,Statistics and Applied Mathematics,NUI Galway,University Road,Galway,Ireland [5]Soft Matter Research Center,Zhejiang University,Hangzhou 310027,China

出　　处：《Acta Mechanica Solida Sinica》2021年第3期326-345,共20页固体力学学报（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Nos.11872329 and 11621062).

摘　　要：Soft electroactive materials(SEAMs)with large elastic deformation capacity as well as excellent electromechanical coupling characteristic have attracted increasing attention in the fields of mechanics and related engineering disciplines.Based on the nonlinear theory of electroelasticity and its linearized version for incremental fields,we derive the state-space formulations for small-amplitude free vibrations of an SEAM circular plate under large predeformation due to static biasing fields.An exact three-dimensional solution is then obtained by adopting the finite Hankel transform for the plate with an elastic simple support at the circular boundary.The exact solution for an isotropic linear elastic circular plate can be obtained as a particular and degenerated case.The model of generalized neo-Hookean compressible material is considered in numerical simulations.It is found that the natural frequency,while depending on the intrinsic parameters of the plate(e.g.,initial thickness and electromechanical coupling coefficients),can be controlled effectively by the extrinsic factors(e.g.,pre-stretch and biasing electric displacement).Results further indicate that Euler’s instability will occur under a certain combination of the biasing electric displacement and pre-stretch,which should be of practical importance when one intends to tune the dynamic characteristics of a plate by means of external loading.

关 键 词：Soft electroactive materials Circular plate Free vibration State-space method Biasing fields 

分 类 号：O475[理学—半导体物理]