论文标题

软电动管的静电可调轴对称振动

Electrostatically tunable axisymmetric vibrations of soft electro-active tubes

论文作者

Zhu, Fangzhou, Wu, Bin, Destrade, Michel, Chen, Weiqiu

论文摘要

由于其独特的机电耦合特性,软电动(SEA)谐振器具有可调性,非常适合,并且对于设计下一代的声学和振动处理设备而言非常重要。在本文中,我们研究了具有不同几何大小的海导的可静电可调轴对称振动。我们考虑在径向电压和轴向前伸出的不均匀偏置磁场下,在不均匀的偏置磁场下,轴对称扭转和纵向振动。然后,我们采用了状态空间方法,该方法结合了圆柱坐标中的状态空间形式主义与近似层压板技术,从而为受到适当边界条件的两种单独的轴对称振动提供了两种单独的轴对称振动的频率方程。我们执行数值计算以验证状态空间方法的收敛性和准确性,并通过调整机电偏置磁场并改变管几何形状来显着调节海导的轴对称振动特性。报道的结果为由海管组成的可调谐振设备的正确设计提供了坚实的指导

Due to their unique electromechanical coupling properties, soft electro-active (SEA) resonators are actively tunable, extremely suitable, and practically important for designing the next-generation acoustic and vibration treatment devices. In this paper, we investigate the electrostatically tunable axisymmetric vibrations of SEA tubes with different geometric sizes. We consider both axisymmetric torsional and longitudinal vibrations for an incompressible SEA cylindrical tube under inhomogeneous biasing fields induced by radial electric voltage and axial pre-stretch. We then employ the state-space method, which combines the state-space formalism in cylindrical coordinates with the approximate laminate technique, to derive the frequency equations for two separate classes of axisymmetric vibration of the tube subjected to appropriate boundary conditions. We perform numerical calculations to validate the convergence and accuracy of the state-space method and to illuminate that the axisymmetric vibration characteristics of SEA tubes may be tuned significantly by adjusting the electromechanical biasing fields as well as altering the tube geometry. The reported results provide a solid guidance for the proper design of tunable resonant devices composed of SEA tubes

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