Modeling of a circular plate with piezoelectric actuators

Mechatronics

Volumn 14, Issue 9, 2004, Pages 1007-1020

  Sekouri, El Mostafa ^a   Hu, Yan Ru ^b   Ngo, Anh Dung ^a  

^a ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

^b CANADIAN SPACE AGENCY   (Canada)

Author keywords

Circular plate; FEM; Harmonic analysis; Modal analysis; Modeling; Piezoelectric

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTRIC LOADS; FINITE ELEMENT METHOD; HARMONIC ANALYSIS; INTELLIGENT CONTROL; MATHEMATICAL MODELS; NATURAL FREQUENCIES; PIEZOELECTRIC DEVICES; PLATE METAL; STRAIN; STRUCTURAL LOADS;

CIRCULAR PLATES; LOADINGS; MODEL ANALYSIS; MODELING;

ACTUATORS;

EID: 3843127455     PISSN: 09574158     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechatronics.2004.04.003     Document Type: Article

References (16)

1. Southwell R.V. On the free transverse vibrations of uniform circular disc clamped at its center; and on the effects of rotation. Proc. Roy. Soc. (Lond.). 101:1922;133-153.
2. Vogel S.M., Skinner D.W. Natural frequencies of transversely vibrating uniform circular plates. J. Appl. Mech. 32:1965;926-931.
3. Bailey T., Hubbard J.E. Distributed piezoelectric-polymer active vibration of a cantilever beam. J. Guid. Contr. Dyn. 8(5):1985;605-611.
4. Crawley E.F., deLuis J. Use of piezoelectric actuators as elements of intelligent structures. AIAA J. 25(10):1987;1373-1385.
5. Fanson JL, Chen JC. Structural control by the use of piezoelectric active members. In: Proceedings of NASA/DOD Control-Structures Interaction Conference, NASA CP-2447, Part II, 1986.
6. Jiarang F., Jianqiao Y. Exact solutions for axisymmetric vibration of laminated circular plates. ASCE J. Eng. Mech. 116:1990;920-927.
7. Dimitriads E., Fuller C.R., Rogers C.A. Piezoelectric actuators for distributed vibration excitation of thin plates. ASME J. Appl. Mech. 113:1991;100-107.
8. Van Neikerk J.L., Tongue B.H., Packard A.K. Active control of circular plate to reduce transient transmission noise. J. Sound Vib. 183:1995;643-662.
9. Heyliger P.R., Ramirez G. Free vibration of laminated piezoelectric plates and discs. J. Sound Vib. 229:1999;935-956.
10. Wang Q., Quek S.T., Sun C.T., Liu X. Analysis of piezoelectric coupled circular plate. Smart Mater. Struct. 10:2001;229-239.
11. Tylikowski A. Control of circular plate vibrations via piezoelectric actuators shunted with a capacitive circuit. Thin-Walled Struct. 39:2001;83-94.
12. Swanson, Inc., ANSYS User's Manual, Version 5.7. Houston, PA: Swanson, Inc.; 2000.
13. Banks H.T., Smith R.C., Wang Y. The modeling of piezoceramic patch interactions with shells plates and beams. Quart. Appl. Math. 53(2):1995;353-381.
14. Leissa A. Vibration of plates. 1993;American Institute of Physics, New York.
15. Kirchhoff Uber das Gleichgewicht und die Bewegung einer elastischen Scheibe. Math. J. 40(5):1850;51-58.
16. Poisson SD. Memoires de l'Academie Royale des Sciences de l'Institut de France, serie 2, tome VIII, 357. L'equilibre et le mouvement des corps elastique, 1829.