Nonlinear dynamic responses of electrically actuated dielectric elastomer-based microbeam resonators

被引:15
|
作者
Alibakhshi, Amin [1 ,2 ]
Heidari, Hamidreza [1 ]
机构
[1] Malayer Univ, Dept Mech Engn, Parastar St, Malayer 6571995863, Iran
[2] Islamic Azad Univ, Dept Mech Engn, Sci & Res Branch, Tehran, Iran
关键词
Dielectric elastomer-based microbeam resonator; Neo-Hookean model; Gent model; Von Karman; Nonlinear resonance; ELECTROMECHANICAL INSTABILITY; CHAOTIC MOTION; VIBRATIONS; BEAM;
D O I
10.1177/1045389X211023584
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper aims to investigate the chaotic and nonlinear resonant behaviors of a dielectric elastomer-based microbeam resonator, incorporating material and geometric nonlinearities. The von Karman strain-displacement equation is utilized to model the geometric nonlinearity. Material nonlinearity is described via the hyperelastic Gent model and Neo-Hookean constitutive law. The applied electrical loading to the elastomer includes both static and sinusoidal voltages. The governing equations of motion are formulated based on an energy approach and generalized Hamilton's principle. Employing a single-mode Galerkin technique, the governing equations are obtained only in terms of time derivatives. The governing ordinary differential equations are solved by means of the multiple scale method and a time-integration-based solver. The nonlinear resonance characteristics are explored through the frequency-amplitude plots. The nonlinear oscillations of the system are analyzed making use of visual techniques such as phase plane diagram, Poincare section and time history, and fast Fourier transform. Based on the results obtained, the resonant behavior is the hardening type. The vibration of the dielectric elastomer based-microbeam is the quasiperiodic response.
引用
收藏
页码:558 / 571
页数:14
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