Laminated elastic plates with piezoelectric sensors and actuators

CMES - Computer Modeling in Engineering and Sciences

Volumn 85, Issue 6, 2012, Pages 543-572

  Sladek, J ^a   Sladek, V ^a   Stanak, P ^a   Wen, P H ^b   Atluri, S N ^c  

^a INSTITUTE OF CONSTRUCTION AND ARCHITECTURE   (Slovakia)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Actuator; Houbolt finitedifference scheme; Local integral equations; MLS approximation; Reissner Mindlin plate theory; Sensor

Indexed keywords

FINITE-DIFFERENCE SCHEME; HEAVISIDE STEP FUNCTION; LAMINATED ELASTIC PLATES; LAMINATED PLATE; LOCAL INTEGRAL EQUATIONS; MECHANICAL LOADS; MESHLESS LOCAL PETROV-GALERKIN METHOD; MLS APPROXIMATION; NODAL POINTS; NORMAL FORCES; PIEZOELECTRIC LAYERS; PIEZOELECTRIC PLATE; PIEZOELECTRIC SENSORS AND ACTUATORS; RANDOMLY DISTRIBUTED; REISSNER-MINDLIN PLATE THEORY; REISSNER-MINDLIN THEORY; SECOND ORDERS; SHEAR FORCE; SUB-DOMAINS; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; TEST FUNCTIONS; THICK PLATE; THREEDIMENSIONAL (3-D); TIME STEPPING METHOD; TRANSIENT DYNAMICS;

ACTUATORS; DYNAMIC LOADS; ELECTRIC POTENTIAL; MINDLIN PLATES; ORDINARY DIFFERENTIAL EQUATIONS; SENSORS;

LAMINATING;

EID: 84867716974     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. Atluri, S.N.; Zhu, T. (1998): A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics, 22: 117-127. (Pubitemid 128620889)
2. Atluri, S.N.; Sladek, J.; Sladek, V.; Zhu, T. (2000): The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Computational Mechanics, 25: 180-198. (Pubitemid 30593734)
3. Atluri, S. N. (2004): The Meshless Method, (MLPG) For Domain & BIE Discretizations, Tech Science Press.
4. Atluri, S.N.; Han, Z.D.; Shen, S. (2003): Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences, 4: 507-516.
5. Batra, R.C.; Liang, X.Q.; Yang, J.S. (1996): Shape control of vibrating simplysupported restangular plates. AIAA Journal, 134: 116-122. (Pubitemid 126499200)
6. Batra, R.C.; Liang, X.Q. (1997): The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators. Computers & Structures, 63: 203-216. (Pubitemid 127379341)
7. Bhargava, A.; Chaudhry, Z.; Liang, C.; Rogers, A.C. (1995): Experimental verification of optimum actuator location and configuration based on actuator power factor. Journal of Intelligent Materials and Structures, 6: 411-418.
8. Crawley, E.F.; de Luis, J. (1987): Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal, 25: 1373-1385.
9. Crawley, E.F.; Lazarus, K.B. (1989): Induced strain actuation of composite plate. In 30th AIAA Structural Dynamics and Materials Conference, Mobile, Alabama.
10. Houbolt, J.C. (1950): A recurrence matrix solution for the dynamic response of elastic aircraft. Journal of Aeronautical Sciences, 17: 371-376.
11. Im, S.; Atluri, S.N. (1989): Effects of a piezo-actuator on a finely deformed beam subjected to general loading. AIAA Journal, 27: 1801-1807. (Pubitemid 20633553)
12. Jin, J.; Batra, R.C. (2005): Effect of electromechanical coupling on static deformations and natural frequencies. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 52 (7): 1079-1093. (Pubitemid 41311508)
13. Lancaster, P.; Salkauskas, T. (1981): Surfaces generated by moving least square methods. Math. Comput., 37: 141-158.
14. Long, S.Y.; Atluri, S.N. (2002): A meshless local Petrov Galerkin method for solving the bending problem of a thin plate. CMES: Computer Modeling in Engineering & Sciences, 3: 11-51.
15. Mau, S.T.; Tong, P.; Pian, T.H.H. (1972): Finite element solutions for laminated plates. Journal of Composite Materials, 6: 304-311.
16. Mikhailov, S.E. (2002): Localized boundary-domain integral formulations for problems with variable coefficients. Eng. Analysis with Boundary Elements, 26: 681-690.
17. Mindlin, R.D. (1951): Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics ASME, 18: 31-38.
18. Mitchell, J.A.; Reddy, J.N. (1995): A refined hybrid plate theory for composite laminates with piezoelectric laminae. International Journal of Solids Structures, 32 (16): 2345-2367.
19. Nayroles, B.; Touzot, G.; Villon, P. (1992): Generalizing the finite element method. Computational Mechanics, 10: 307-318.
20. Parton, V.Z., Kudryavtsev, B.A. (1988): Electromagnetoelasticity, Piezoelectrics and Electrically Conductive Solids. Gordon and Breach Science Publishers, New York.
21. Pietrzakowski, M. (2008): Piezoelectric control of composite plate vibration: Effect of electric potential distribution. Computers & Structures, 86: 948-954. (Pubitemid 351400673)
22. Reissner, E. (1946): Stresses and small displacements analysis of shallow shells-II. Journal Math. Physics, 25: 279-300.
23. Sladek, J.; Sladek, V.; Wen, P.; Aliabadi, M.H. (2006): Meshless Local Petrov-Galerkin (MLPG) Method for shear deformable shells analysis. CMES: Computer Modeling in Engineering & Sciences, 13: 103-118.
24. Sladek, J.; Sladek, V.; Krivacek, J.; Wen, P.; Zhang, Ch. (2007): Meshless Local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load: Computer Meth. Appl. Mech. Engn., 196: 2681-2691. (Pubitemid 46554975)
25. Sladek, J.; Sladek, V.; Stanak, P.; Pan, E. (2010a): The MLPG for bending of electroelastic plates. CMES: Computer Modeling in Engineering & Sciences, 64: 267-298.
26. Sladek, J.; Sladek, V.; Stanak, P.; Zhang, Ch. (2010b): Meshless local Petrov-Galerkin (MLPG) method for laminate plates under dynamic loading. CMC: CMC: Com puters, Materials & Continua, 15: 1-26.
27. Soric, J.; Li, Q.; Atluri, S.N. (2004): Meshless local Petrov-Galerkin (MLPG) formulation for analysis of thick plates. CMES: Computer Modeling in Engineering & Sciences, 6: 349-357.
28. Thornburgh, R.P.; Chattopadhyay, A. (2001): Nonlinear actuation of smart composite using a coupled piezoelectric-mechanical model. Smart Materials and Structures, 10: 743-749. (Pubitemid 32829398)
29. Vavourakis, V.; Polyzos, D. (2007): A MLPG4 (LBIE) formulation in elastostatics. CMC: Computers, Materials & Continua, 5: 185-196. (Pubitemid 46904874)
30. Wen, P.H.; Hon, Y.C. (2007): Geometrically nonlinear analysis of Reissener-Mindlin plate by meshless computation. CMES: Computer Modeling in Engineering & Sciences, 21: 177-191. (Pubitemid 47598983)
31. Wen, P.H.; Aliabadi, M.H. (2012): Analysis of functionally graded plates by meshless method: A purely analytical formulation. Engineering Analysis with Boundary Elements, 36: 639-650.