Vibration control in a composite box beam with piezoelectric actuators

Smart Materials and Structures

Volumn 13, Issue 4, 2004, Pages 676-690

  Mitra, Mira ^a   Gopalakrishnan, S ^a   Bhat, M Seetharama ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; AIRCRAFT; BENDING (DEFORMATION); COMPOSITE MATERIALS; DIFFERENTIAL EQUATIONS; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; POLYNOMIALS; PROBLEM SOLVING; SHEAR DEFORMATION; VIBRATION CONTROL;

ASYMPOTOTIC FORMULATION; COMPOSITE BOX BEAMS; PIEZOELECTRIC ACTUATORS; ROTOR BLADES;

PIEZOELECTRIC DEVICES;

EID: 4043136616     PISSN: 09641726     EISSN: None     Source Type: Journal    
DOI: 10.1088/0964-1726/13/4/005     Document Type: Article

References (34)

1. Jung S N, Nagaraj V T and Chopra I 1999 Assessment of composite rotor blade modeling techniques J. Am. Helicopter Soc. 44 188-205
2. Volovoi V V, Hodges D H, Cesnik C E S and Popescu B 2001 Assessment of beam modeling methods for rotor blade applications Math. Comput. Modelling 33 1099-112
3. Berdichevsky V L, Armanios E and Badir A 1992 Theory of anisotropic thin walled closed cross-section beams Compos. Eng. 2 411-32
4. Badir A M, Berdichevsky V L and Armanios E A 1993 Theory of composite thin walled opened cross-section beams Proc. 34th Conf. on AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (La Jolla, CA: AIAA) pp 2761-70
5. Volovoi V V and Hodges D H 2002 Single and multicelled composite thin walled beams AIAA J. 40 960-5
6. Cesnik C E S and Hodges D H 1997 VABS: a new concept for composite rotor blade cross-sectional modeling J. Am. Helicopter Soc. 42 27-38
7. Popescu B and Hodges D H 1999 On asymptotically correct Timoshenko-like anisotropic beam theory Int. J. Solids Struct. 37 535-58
8. Jung S N, Nagaraj V T and Chopra I 2002 Refined structural model for thin and thick walled composite rotor blades AIAA J. 40 105-16
9. Chee C Y K, Tong L and Steven G P 1998 A review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures J. Intell. Mater. Syst. Struct. 93-19
10. Benjeddou A 2000 Advances in piezoelectric finite element modeling of adaptive structural elements: a survey Comput. Struct. 76 347-63
11. Chattopadhyay A, Gu H and Liu Q 1999 Modeling of smart composite box beams with non-linear induced strain Composites B 30 603-12
12. Chattopadhyay A, Liu Q and Gu H 2000 Vibration reduction in rotor blades using active composite box beam AIAA J. 38 1125-31
13. Cesnik C E S and Ortega-Morales M 2000 Active beam cross-sectional modeling, smart structures and materials 2000: mathematics and control in smart structures Proc. SPIE 3984
14. Reaves M C and Horta L G 2001 Test cases for modeling and validation of structures with piezoelectric actuators 42nd Conf. on AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (Seattle, WA, 2001) (La Jolla, CA: AIAA)
15. Mitra M, Gopalakrishnan S and Bhat M S 2004 A new super convergent thin walled composite beam element for analysis of box beam structures Int. J. Solids Struct. 41 1491-518
16. Guyan R J 1965 Reduction of mass and stiffness matrices AIAA J. 3 380
17. Paz M 1984 Dynamic condensation AIAA J. 22 724-7
18. O'Callahan J 1989 System equivalent reduction and expansion model Proc. 7th Int. Modal Analysis Conf. Society of Experimental Mechanics (Bethel, CT, 1989) pp 29-37
19. Sastry CVS, Mahapatra D R, Gopalakrishnan S and Ramamurthy T S 2003 An iterative system equivalent reduction expansion process for extraction of high frequency response from reduced order finite element model Comput. Methods Appl. Mech. Eng. 192 1821-40
20. Junkins J L and Kim Y 1993 Introduction to Dynamics and Control of Flexible Structures (Washington, DC: AIAA) pp 206-12
21. Andry A N, Shapiro E Y and Chung J C 1983 Eigenstructure assignment for linear system IEEE Trans. Aerosp. Electron. Syst. 19 711-29
22. Sobel K M, Shapiro E Y and Andry A N 1994 Eigenstructure assignment Int. J. Control 59 13-37
23. Kim Y, Kum D and Nam C 1997 Simultaneous structural/control optimum design of composite plate with piezoelectric actuators J. Guid. Control Dyn. 20 1111-7
24. Rew D W, Junkins J L and Juang J N 1989 Robust eigenstructure assignment by a projection method: applications using multiple optimization criteria J. Guid. Control Dyn. 12 396-403
25. Kim Y and Kim, H-S 1999 Eigenstructure assignment algorithm for mechanical second order systems J. Guid. 22 729-31
26. Megson T H G 1974 Linear Analysis of Thin-Walled Elastic Structures (Guildford: Surrey University Press)
27. Jung S N, Nagaraj V T and Chopra I 1999 A general structural model for thin and thick walled composite blades with elastic coupling 24th European Rotorcraft Forum (Marseilles, France) pp DY 13.1-16
28. Jones R M 1975 Mechanics of Composite Materials (New York: McGraw-Hill)
29. Srinathkumar S 1978 Eigenvalue/eigenvector assignment using output feedback IEEE Trans. Autom. Control 23 79-81
30. Chandra R and Chopra I 1991 Experimental and theoretical analysis of composite I-beams with elastic couplings AIAA J. 29 2197-403
31. Yu W, Volovoi V V, Hodges D H and Hong X 2002 Validation of the variational asymptotic beam sectional analysis AIAA J. 40 2105-12
32. Tzou H S 1993 Piezoelectric Shells (Distributed Sensing and Control of Continua) (Dordrecht: Kluwer)
33. Tzou H S and Tseng C I 1991 Distributed vibration control and identification of coupled elastic/piezoelectric systems: finite element formulation and application Mech. Syst. Signal Process. 5 215-31
34. Tzou H S and Ye R 1996 Analysis of piezoelectric structures with laminated piezoelectric triangle shell elements AIAA J. 34 110-5