Abstract
In this chapter, distributed sensors and actuators for cylindrical shells were designed and their spatially distributed sensing/control effects were analyzed. Mathematical model and analytical solutions suggest that the fully distributed shell sensor is sensitive only to all odd modes and insensitive to all even modes. This is due to signal cancellations of positive and negative signals in opposite strain regions. The diagonal stripe sensor is sensitive only to the m = n modes and insensitive to the m ≠ n modes. Three sensor sensitivities, i.e., transverse, in-plane longitudinal x and in-plane circumferential θ, were defined for each sensor and their normalized sensitivities evaluated. It was observed that the in-plane sensitivities are insensitive to thickness variations of elastic shells because the in-plane strains remain identical regardless of the thickness change. However, the transverse sensitivity increases as the shell becomes thicker due to an increase of bending strains. Furthermore, control effects of a fully distributed actuator and a diagonal strip actuator are evaluated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
DeHaven, J.G., Han, Y. and Tzou, 2007, “Transition of Membrane/bending Neural Signals on Transforming Adaptive Shells,” Journal of Vibration and Control, Vol.13, No.7, pp. 1007–1029.
Chai, W.K., DeHaven, J.G. and Tzou, H.S., 2005, “Distributed Micro-control Characteristics of Shallow Conical Shell Sections,” Journal of Vibration and Control, Vol.11, No.11, pp. 1397–1411 .
Chai, W.K., Tzou, H.S. and Higuchi, K., 2006, “Micro-actuation Characteristics of Conical Shell Sections,” Journal of Sound & Vibration. Vol.293, No1–2, pp. 286–298.
Hu, S.D., Li, H. and Tzou, H.S., 2013, “Distributed Neural Signals on Parabolic Cylindrical Shells,” Journal of Sound and Vibration 332, 2984–3001.
Li, H.Y., Li, H. and Tzou, H.S., 2015, “Frequency Control of Beams and Cylinrical Shells with Light-Activated Shape Memory Polymers,” ASME Journal of Vibration and Acoustics, 37, p. 011006.
Li, H., Hu, S D., Tzou, H.S., and Chen, Z.B., 2012, “Optimal Vibration Control of Conical Shells with Collocated Helical Sensor/Actuator Pairs,” Journal of Theoretical and Applied Mechanics, 50(3), pp. 769–784.
Smithmaitrie, P. and Tzou, H.S., 2004, Micro-control actions of actuator patches laminated on hemispherical shells, Journal of Sound and Vibration, 277, 691–710.
Soedel, W., 1981, Vibrations of Plates and Shells, Dekker, N.Y.
Tzou, H.S., Bao, Y., Venkayya, V.B., 1996, “Study of Segmented Transducers Laminated on Cylindrical Shells, Part 2: Actuator Patches,” Journal of Sound & Vibration, Vol.197, No.2, pp. 225–249, October 1996.
Tzou, H.S., Chai, W.K. and Wang, D.W., 2003, “Modal Voltages and Micro-Signal Analysis of Conical Shells of Revolution,” Journal of Sound and Vibration 260, 589–609.
Tzou, H. S., Smithmaitrie, P. and Ding, J. H., 2002, “Sensor Electromechanics and Distributed Signal Analysis of Piezo(Electric)-Elastic Spherical Shells,” Mechanical Systems and Signal Processing (Journal of), Vol.16(2–3), pp. 185–199.
Tzou, H.S., Zhong, J.P. and Natori, M.C. “Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings,” ASME Transactions, Journal of Vibration & Acoustics, Vol.115, No.1, pp. 40–46, January 1993.
Tzou, H.S. and Zhong, J.P., “Adaptive Piezoelectric Shell Structures: Theory and Experiments,” Mechanical Systems and Signal Processing (Journal of), Vol.7, No.4, pp.307–319, July 1993a.
Tzou, H.S. and Zhong, J.P., “Electromechanics and Vibrations of Piezoelectric Shell Distributed Systems: Theory and Applications,” ASME Transactions, Journal of Dynamic Systems, Measurement, and Control, Vol.115, No.3, pp. 506–517, 09, 1993b.
Tzou, H.S. and Zhong, J.P., “A Linear Theory of Piezoelastic Shell Vibrations,” Journal of Sound & Vibration, Vol.175, No.1, pp. 77–88, August 1994.
Tzou, H.S., Zhong, J.P. and Hollkamp, J.J. “Spatially Distributed Orthogonal Piezoelectric Shell Actuators: Theory and Applications,” Journal of Sound & Vibration, Vol.177, No.3, pp. 363–378, October 1994.
Tzou and H.S. J. Zhong, J., 1996, “Spatially Filtered Vibration Control of Cylindrical Shells,” Shock and Vibration Journal, (special issue of on Modern Vibration Engineering, ICVE’94), Vol.3, No.4, pp. 269–278, 1996.
Wang, D.W., Tzou, H.S., Arnold, S.M. and Lee, H.J., 2006, “Control of Static Shape, Dynamic Oscillation and Thermally Induced Vibration of Nozzles,” ASME Transactions, Journal of Pressure Vessel Technology, Vol.128, pp. 357–363.
Zhong, J.P., 1991, A Study on Piezoelectric Shell Dynamics Applied to Structural Identification and Control, Ph.D. Thesis, Department of Mechanical Engineering, University of Kentucky, 1991.
Zhou, Y.H., and Tzou, H.S., 2000, “Active Control of Nonlinear Piezoelectric Circular Shallow Spherical Shells,” International Journal of Solids and Structures, 37(12), pp. 1663–1677.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature B.V.
About this chapter
Cite this chapter
Tzou, H. (2019). Sensing and Control of Cylindrical Shells. In: Piezoelectric Shells. Solid Mechanics and Its Applications, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-1258-1_9
Download citation
DOI: https://doi.org/10.1007/978-94-024-1258-1_9
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-024-1256-7
Online ISBN: 978-94-024-1258-1
eBook Packages: EngineeringEngineering (R0)