Abstract 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.

中文翻译：

---

软电活性管的静电可调轴对称振动

摘要 由于其独特的机电耦合特性，软电活性 (SEA) 谐振器是可主动调谐的，非常适合设计下一代声学和振动治疗装置，具有重要的实际意义。在本文中，我们研究了具有不同几何尺寸的 SEA 管的静电可调轴对称振动。我们考虑了在由径向电压和轴向预拉伸引起的非均匀偏置场下不可压缩 SEA 圆柱管的轴对称扭转和纵向振动。然后我们采用状态空间方法，它将柱坐标中的状态空间形式主义与近似层压技术相结合，推导出在适当边界条件下管的两类不同轴对称振动的频率方程。我们进行数值计算以验证状态空间方法的收敛性和准确性，并说明可以通过调整机电偏置场以及改变管几何形状来显着调整 SEA 管的轴对称振动特性。报告的结果为正确设计由 SEA 管组成的可调谐振装置提供了可靠的指导。我们进行数值计算以验证状态空间方法的收敛性和准确性，并说明可以通过调整机电偏置场以及改变管几何形状来显着调整 SEA 管的轴对称振动特性。报告的结果为正确设计由 SEA 管组成的可调谐振装置提供了可靠的指导。我们进行数值计算以验证状态空间方法的收敛性和准确性，并说明可以通过调整机电偏置场以及改变管几何形状来显着调整 SEA 管的轴对称振动特性。报告的结果为正确设计由 SEA 管组成的可调谐振装置提供了可靠的指导。