Summary
Spherical-symmetric steady-state response problem of a fluid-filled piezoelectric spherical shell is discussed in the paper. In the absence of body force and free charges, the general solutions of mechanical displacement, stresses, strains, potential and electric displacement are derived from constitutive relations, geometric and motion equations under external excitation (i.e., applied surface traction and potential) in spherical coordinate system. As an application of the general solutions, the problem of a fluid-filled elastic spherical shell with piezoelectric actuator and sensor layers was solved. The results could provide theoretical basis for the spherical-symmetric dynamic control problem of fluid-structure coupling piezoelectric intelligent structure. Furthermore, the solutions can serve as reference for the research on the control of general fluid-structure dynamic problems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Tani, J., Takagi, T., Qui, J.: Intelligent material systems: Application of functional materials. Appl. Mech. Rev.51, 505–519 (1998).
Chee, C., Tong, L., Steven, G.: A review on the modelling of piezoelectric sensors and actuators incorporated in intelligent structures. J. Intell. Mat. Syst. Struct.9, 3–19 (1998).
Li, S., Yang, Y., Liu, Z.: The applications of piezoelectric materials on shape control and vibration control of smart structures. Adv Mech.29, 66–76 (1999).
Liu, Y. Z., Tani, J., Chonan, S.: Galloping control of a cantilever beam using piezoelectric actuator. Trans. Jpn. Soc. Mech. Eng. Ser.60, 113–118 (1994).
Lebster, H. C., Lefebve, S.: Piezoelectric models for active sound and vibration control of cylinders. J. Intell. Mat. Syst. Struct.4, 295–306 (1993).
Clark, R. L., Fuller, C. R.: Control of sound radiation with adaptive structures. J. Intell. Mat. Syst. Struct.2, 431–452 (1991).
Dimitriadis, E. K., Fuller, C. R.: Active control of sound transmission through elastic plates using piezoelectric actuators. AIAA J.29, 1771–1777 (1991).
Sun, J. Q., Norris, M. A., Rossetti, D. J., Highfill, J. H.: Distributed piezoelectric actuators for shell interior noise control. J. Vibr. Acoustics118, 676–681 (1996).
Yoon, K. W., Kim, J. H., Seung, J. K.: Anisotropic effects of polyvinylidene fluoride on the control of transmitted sound fields through a composite plate. Smart Mat. Struct.7, 885–893 (1998).
Tiersten, H. F.: Linear piezoelectric plate vibration. New York: Plenum Press (1969).
Tzou, H., Tseng, C.: Distributed piezoelectric sensor/actuator design for dynamic measurement/control of the distributed parameter systems: a piezoelectric finite element approach. J. Sound Vibr.138, 17–34 (1990).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Li, H., Liu, Z. & Lin, Q. Spherical-symmetric steady-state response of fluid-filled laminate piezoelectric spherical shell under external excitation. Acta Mechanica 150, 53–66 (2001). https://doi.org/10.1007/BF01178544
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01178544