Electroelastic plate equations for high frequency vibrations of thermopiezoelectric materials

Thin-Walled Structures

Volumn 39, Issue 1, 2001, Pages 95-109

  Askar Altay G ^a   Cengiz Dokmeci M ^b  

^a BOGAZICI UNIVERSITY   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CERAMIC MATERIALS; COMPUTATIONAL GEOMETRY; MOTION CONTROL; PIEZOELECTRICITY; SHEAR STRESS; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

ELECTROELASTIC PLATE EQUATIONS; THERMOPIEZOELECTRIC PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0343833038     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8231(00)00056-2     Document Type: Article

References (45)

1. Gandhi M.V., Thompson B.S. Smart materials and structures. 1992;Chapman and Hall, New York.
2. Culshaw B. Smart structures and materials. 1996;Artech House, Boston.
3. Tzou HS, Guran A. Structronic systems: smart structures, devices and systems, vols. 1-2. London: World Scientific London, 1997-1998.
4. Wang Z.L., Kang Z.C. Functional and smart materials. 1998;Plenum Press, New York.
5. Janocha H. Adaptronics and smart structures. 1999;Springer-Verlag, New York.
6. Forward R.L. Electronic damping of vibrations in optical structures. J. Appl. Opt. 18:1979;690-697.
7. Bailey T., Hubbard J.E. Distributed piezoelectric-polymer active vibration control of a cantilever beam. AIAA J. Guidance Contr. Dyn. 8:1985;605-611.
8. Librescu L., Song O., Rogers C.A. Adaptive vibrational behavior of cantilevered structures modelled as composite thin-walled beams. Int. J. Engng Sci. 31:1993;775-792.
9. Librescu L., Rogers C.A., Song O. Static aeroelasticity and free vibration behavior of adaptive aircraft wing structures modelled as composite thin-walled beams. Proceedings of the Second Joint Japan/US Conference on Adaptive Structures, 1991, Nagoya, Japan. 1991;461-479 Technomic Publishing, Lancaster (PA).
10. Hagood N.W., Chung W.H., von Flotow A. Modelling of piezoelectric actuator, dynamics for active structural control. J. Intell. Mater. Syst. Struct. 1:1990;327-354.
11. Dosch J.J., Inman D.J., Garcia E. A self-sensing piezoelectric actuator for collocated control. J. Intell. Mater. Syst. Struct. 3:1992;166-185.
12. Utku S. Theory of adaptive structures. 1998;CRC Press, Boca Raton (FL).
13. Wada B.K., Fanson J.L., Crawley E.F. Adaptive structures. J. Intell. Mater. Syst. Struct. 1:1990;157-174.
14. Crawley E.F. Intelligent structures for aerospace: a technology overview and assessment. AIAA J. 32:1994;1689-1699.
15. Loewy R.G. Recent development in smart structures with aeronautical applications. Smart Mater. Struct. 6:1997;R11-R42.
16. Chee C.Y.K., Tong L., Steven G.P. A review of the modelling of piezoelectric sensors and actuators incorporated in intelligent structures. J. Intell. Mater. Syst. Struct. 9:1998;3-19.
17. Rao S.S., Sunar M. Piezoelectricity and its use in disturbance sensing and control of flexible stuctures. Appl. Mech. Rev. 47(4):1994;113-123.
18. Rao S.S., Sunar M. Analysis of distributed thermopiezoelectric sensors and actuators in advanced intelligent structures. AIAA J. 31:1993;1280-1286.
19. Birman V. Thermal effects on measurements of dynamic processes in composite structures using piezoelectric sensors. Smart Mater. Struct. 54:1996;379-385.
20. Tzou H.S., Ye R. Pyroelectric and thermal strain effects of piezoelectric (PVDF and PZT) devices. Mech. Syst. Signal Process. 10:1996;459-469.
21. Karlash V.L. Forced high-frequency vibrations of thin circular piezoceramic disks. Int. Appl. Mech. 31(5):1995;394-398.
22. Postnikov L.L. Mathematical modelling of high-frequency quartz resonators with piezoelectrical crystals of nonuniform thickness. Acoust. Phys. 42(1):1996;79-90.
23. Sunar M., Rao S.S. Recent advances in sensing and control of flexible structures via piezoelectric materials technology. Appl. Mech. Rev. 52(1):1999;1-16.
24. Dökmeci M.C. Recent advances: vibrations of piezoelectric crystals. Int. J. Engng Sci. 18:1980;431-448.
25. Dökmeci M.C. Recent progress in the dynamic applications of piezoelectric crystals. The Shock and Vibration Digest. 20(2):1988;3-20.
26. Dökmeci M.C. Theory of vibrations of coated, thermopiezoelectric laminae. J. Math. Phys. 19:1978;109-126.
27. Dökmeci MC, Aşkar Altay G. Advances and trends in dynamics of piezoelectrics. Paper presented at the 1999 ASME Summer Conference, June 27-30; Virginia Polytechnic Institute and State University, Blacksburg, VA.
28. Lee H.-J., Saravanos D.A. Coupled layerwise analysis of thermopiezoelectric composite beams. AIAA J. 34:1996;1231-1237.
29. 3-polymer piezoelectric composite material. J. Acoust. Soc. Am. 96:1994;307-318.
30. Aşkar Altay G, Dökmeci MC. A bar theory for motions of thermopiezoceramics. TR.7/99; July 1999.
31. Mindlin R.D. Equations of high frequency vibrations of thermopiezoelectric crystal plates. Int. J. Solids Struct. 10:1974;625-637.
32. Tiersten H.F. Electroelastic equations for electroded thin plates subject to large driving voltages. J. Appl. Phys. 74:1993;3389-3393.
33. Yang J.S., Batra R.C. A theory of electroded thin thermopiezoelectric plates subject to large driving voltages. J. Appl. Phys. 76:1994;5411-5417.
34. Mindlin R.D. On the equations of motion of piezoelectric crystals. Radok J. Problems of continuum mechanics - Muskhelishvili anniversary volume. 1961;282-291 Society of Industrial and Applied Mathematics, Philadelphia.
35. Aşkar Altay G., Dökmeci M.C. Fundamental variational equations of discontinuous thermopiezoelectric fields. Int. J. Engng Sci. 34:1996;769-782.
36. Chandrasekharaiah D.S. Hyberbolic thermoelasticity: a review of recent literature. Appl. Mech. Rev. 51(12):1998;705-729.
37. Mura T., Koya T. Variational methods in mechanics. 1992;Oxford University Press, New York.
38. Dökmeci M.C. Certain integral and differential types of variational principles in nonlinear piezoelectricity. IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control. 35:1988;775-787.
39. Nye J.F. Physical properties of crystals. 1957;Oxford University Press, London.
40. Mindlin R.D. The collected papers. 1989;Springer-Verlag, New York.
41. Tiersten H.F. Linear piezoelectric plate vibrations. 1969;Plenum Press, New York.
42. Tasi J., Herrmann G. Thermoelastic dissipation in high frequency vibrations of crystal plates. J. Acoust. Soc. Am. 36:1964;100-110.
43. Aşkar Altay G., Dökmeci M.C. Numerical algorithms for dynamics of thermopiezoelectric bars. ZAMM. 77:1997;429-445.
44. Librescu L., Lin W. Non-linear response of laminated plates and shells to thermomechanical loading: implications of violation of interlaminar shear traction continuity requirement. Int. J. Solids Struct. 36:1999;4111-4147.
45. Dube G.P., Kapuria S., Dumir P.C. Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending. Int. J. Mech. Sci. 38:1996;1161-1177.