By H.S. Tzou
Exploiting new complicated constructions and electromechanical platforms, e. g. , adaptive constructions, high-precision platforms, micro electromechanical structures, disbursed sensors/actuators, precision manipulation and controls, and so forth. , has been turning into one of many mainstream examine and improvement actions (structure & movement) in recent times. those new platforms and units may perhaps carry a brand new technological revolution in smooth industries and additional, without delay or in some way, influence human existence. within the look for and study in cutting edge applied sciences, it's proved that piezoelectric fabrics are very flexible in either sensor and actuator functions. therefore, piezoelectric know-how has been largely utilized to plenty of commercial functions and units, various from thin-film micro sensors/actuators to giant area constructions as well as these rather traditional functions, e. g. , sensors, actuators, hydrophones, precision manipulators, cellular robots, micro cars, and so on. there were a number of books on piezoelectricity released some time past; notwithstanding, a unified presentation of piezoelectric shells and allotted senSing/control purposes remains to be missing. This e-book is meant to fill the space and to pro~de training engineers and researchers with an creation to complex piezoelectric shell theories and allotted sensor/actuator applied sciences in structural identity and keep an eye on. This ebook represents a set of the author's fresh examine and improvement on piezoelectric shells and comparable functions to dispensed dimension and keep watch over of continuaj it displays six best-paper awards, together with [ xviii] • Contents. ASME Best-Paper Awards in fresh years.
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Additional resources for Piezoelectric Shells: Distributed Sensing and Control of Continua
Acoust. Soc. 1596-1608. , 1987, "Vibration Isolation for Spacecraft Using the Piezoelectric Polymer PVF 2," Proc. of the 114th Meeting of the Acoustic Soc. , Nov. 1987. , 1983, Distributed Parameter System Theory, Part 1 & 2, Hutchinson Ross Pub. Co. Stroudsburg, P A. , 1969, Linear Piezoelectric Plate Vibrations, Plenum, New York. , 1959, "Piezoelectric Relation and the Rachial Deformation of Polarized Spherical Shell," J. Acoust. Soc. 315-318. 1201-1206. • 1. (10), December 1988, 51-58. , 1989a, "Development of a Light-weight Robot End-effector using Polymeric Piezoelectric Bimorph," Proceedings of 1989 IEEE Intl.
0:3 « R2; thus, the ratio of finite distance to radius of • Piezoelectric Shells. [ 40 ] 1 + a3 ~ 1 and lrl- 1+~~1. 6) = phA1A2ii3 . ) I IJ I h/2 I-h/2 , can be treated as boundary forces on the top and bottom surfaces; or set to zero if both surfaces are force free surfaces. (a33 - e33E3) Ih/2 -h/2 denotes the transverse normal stress effect. • 2. 9) where superscript "m" denotes the mechanically induced component and "e" the electrically induced component. The resultant forces and moments, both mechanical and electric, are defined next.
A final variational equation is derived, which leads to all electromechanical system equations and boundary conditions (Tzou and Zhong, 1991b). 1 Variation of Kinetic Energy The variation of kinetic energy Jr is Note that integration by parts was used in the kinetic energy variation. , a) the mechanical strains Sij and b) the electric fields E j which are presented separately. • 2. Piezoelectric Shell Vibration Theory [ 25 ] a) Variation of Mechanical Strain Energy There are three normal strains and three shear strains needed to be considered in the derivation.