Effective health monitoring and distributed control of advanced structures depends on accurate measurements of dynamic responses of elastic structures. Conventional sensors used for structural measurement are usually add-on “discrete” devices. Lightweight distributed thin-film piezoelectric neurons fully integrated (laminated or embedded) with structural components can serve as in-situ sensors monitoring structure’s dynamic state and health status. This study is to investigate modal voltages and detailed signal contributions of linear or nonlinear paraboloidal shells of revolution laminated with piezoelectric neurons. Signal generation of distributed neuron sensors laminated on paraboloidal shells is defined first, based on the open-voltage assumption and Maxwell’s principle. The neuron signal of a linear paraboloidal shell is composed of a linear membrane component and a linear bending component; the signal of a nonlinear paraboloidal shell is composed of nonlinear and linear membrane components and a linear bending component due to the von Karman geometric nonlinearity. Signal components and distributed modal voltages of linear and nonlinear paraboloidal shells with various curvatures and thickness are investigated.

Issue Section:
Technical Papers
Keywords:
shells (structures), dynamic response, distributed control, bending, piezoelectric transducers, strain measurement, strain sensors, neural nets, membranes, structural acoustics, electric potential
Topics:
Sensors, Shells, Signals, Membranes
1.
Plumb
,
J. M.
,
Hubbard
,
J. E.
, and
Bailey
,
T.
,
1987
, “
Nonlinear Control of a Distributed System: Simulation and Experimental Results
,”
ASME J. Dyn. Syst., Meas., Control
,
109
(
2
), pp.
133
–
139
.
2.
Crawley
,
E. F.
, and
de Luis
,
J.
,
1987
, “
Use of Piezoelectric Actuator as Elements of Intelligent Structures
,”
AIAA J.
,
25
(
10
), pp.
1373
–
1385
.
3.
Baz
,
A.
, and
Poh
,
S.
,
1988
, “
Performance of an Active Control System With Piezoelectric Actuators
,”
J. Sound Vib.
,
126
(
2
), pp.
327
–
343
.
4.
Hanagud, S., and Obal, M. W., 1988, “Identification of Dynamic Coupling Coefficients in a Structure With Piezoelectric Sensors and Actuators,” AIAA paper No. 88–2418.
5.
Tzou, H. S., 1987, “Active Vibration Control of Flexible Structures via Converse Piezoelectricity,” Development in Mechanics, 14(b), 20th Midwest Mechanical Conference, pp. 1201–1206.
6.
Tzou, H. S., 1993, Piezoelectric Shells (Distributed Sensing and Control of Continua), Kluwer Academic Publishers, Boston/Dordrecht.
7.
Gabbert, U., and Tzou, H. S., 2001, Smart Structures and Structronic Systems, Kluwer Academic Pub., Dordrecht/Boston/London.
8.
Tzou, H. S., 1992, “Thin-Layer Distributed Piezoelectric Neurons and Muscles: Electromechanics and Applications,” Precision Sensors, Actuators, and Systems, H. S. Tzou and T. Fukuda, eds., Kluwer Academic Publishers, Dordrecht/Boston/London, pp. 175–218.
9.
Tzou
,
H. S.
,
Zhong
,
J. P.
, and
Natori
,
M. C.
,
1993
, “
Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings
,”
ASME J. Vibr. Acoust.
,
115
(
1
), pp.
40
–
46
.
10.
Howard
,
R. V.
,
Chai
,
W. K.
, and
Tzou
,
H. S.
,
2001
, “
Modal Voltages of Linear and Nonlinear Structures Using Distributed Artificial Neurons (A Theoretical and Experimental Study)
,”
Mech. Syst. Signal Process.
,
15
(
3
), pp.
629
–
640
.
11.
Mazurkiewicz, Z. E., and Nagorski, R. T., 1991, Shells of Revolution, PWN-Polish Scientific Publishers, Warsaw, pp. 7–9, pp. 333–341.
12.
Tzou
,
H. S.
, and
Yang
,
R. J.
,
2000
, “
Nonlinear Piezo-Thermoelastic Shell Theory Applied to Control of Variable-Geometry Shells
,”
Journal of Theoretical and Applied Mechanics
,
38
(
3
), pp.
623
–
644
.
13.
Tzou
,
H. S.
,
Bao
,
Y.
, and
Zhou
,
Y.
,
1997
, “
Nonlinear Piezothermoelasticity and Multi-Field Actuations, Part-1: Nonlinear Anisotropic Piezothermoelastic Shell Laminates; Part-2: Control of Nonlinear Buckling and Dynamics
,”
ASME J. Vibr. Acoust.
,
119
, pp.
374
–
389
.
14.
Wang, J. T.-S., and Lin, C.-W., 1967, “On the Differential Equations of the Axisymmetric Vibration of Paraboloidal Shells of Revolution,” NASA CR-932, Nov 1967.
15.
Glockner
,
P. G.
, and
Tawardros
,
K. Z.
,
1973
, “
Experiments on Free Vibration of Shells of Revolution
,”
Exp. Mech.
,
13
(
10
), pp.
411
–
421
.
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