Vibrations of damaged cantilevered beams manufactured from functionally graded materials

AIAA Journal

Volumn 45, Issue 11, 2007, Pages 2747-2757

  Birman, Victor ^a,c,d   Byrd, Larry W ^b,e  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

^c Engineering Education Center

^d AIAA   (United States)

^e Structural Sciences Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AXIALLY GRADED BEAMS; FUNDAMENTAL FREQUENCIES;

CRACK CLOSURE; DELAMINATION; ERROR ANALYSIS; FUNCTIONALLY GRADED MATERIALS; STIFFNESS; VIBRATIONS (MECHANICAL);

CANTILEVER BEAMS;

EID: 36749028877     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.30076     Document Type: Article

References (25)

1. Suresh, S., and Mortensen, A., Fundamentals of Functionally Graded Materials, IOM Communications, London, 1998.
2. Miyamoto, Y., Kaysser, W. A., Rabin, B. H., Kawasaki, A., and Ford, R. G., Functionally Graded Materials: Design, Processing and Applications, Kluwer Academic, Dordrecht, 1999.
3. Paulino, G. H., Jin, Z. H., and Dodds, R. H., Jr., "Failure of Functionally Graded Materials," Comprehensive Structural Integrity, edited by B. Karihallo, and W. G. Knauss, Vol. 2, Elsevier Science, New York, 2003, Chap. 13, pp. 607-644.
4. Noda, N., "Thermal Stresses in Functionally Graded Material," Journal of Thermal Stresses, Vol. 22, Nos. 4-5, 1999, pp. 477-512.
5. Sankar, B. V., "An Elasticity Solution for Functionally Graded Beams," Composites Science and Technology, Vol. 61, No. 5, 2001, pp. 689-696.
6. Chakraborty, A., Gopalakrishnan, S., and Reddy, J. N., "A New Beam Finite Element for the Analysis of Functionally Graded Materials," International Journal of Mechanical Sciences, Vol. 45, No. 3. 2003, pp. 519-539.
7. Chakraborty, A., and Gopalakrishnan, S., "A Spectrally Formulated Finite Element for Wave Propagation Analysis in Functionally Graded Beams," International Journal of Solids and Structures, Vol. 40, No. 10, 2003, pp. 2421-2448.
8. Hudnut, S., Almajid, A., and Taya, M., "Functionally Graded Piezoelectric Bimorph-Type Actuator," Smart Structures and Materials 2000, Proceedings of SPIE-the International Society for Optical Engineering, Vol. 3992, 2003, pp. 376-386.
9. Alexander, P. W., and Brei, D., "The Design Tradeoffs of Linear Functionally Graded Piezoceramic Actuators," 2003 ASME International Mechanical Engineering Congress and Exposition, American Society of Mechanical Engineers Paper 2003-42723, 2003.
10. Takagi, K., Li, J.-F., Yokogama, S., and Watanabe, R., "Fabrication and Evaluation of PZT/Pt Piezoelectric Composites and Functionally Graded Actuators," Journal of the European Ceramic Society, Vol. 23, No. 10, 2003, pp. 1577-1583.
11. Li, J.-F., Takagi, K., Ono, M., Pan, W., Watanabe, R., Almajid, A., and Taya, M., "Fabrication and Evaluation of Porous Piezoelectric Ceramics and Porosity-Graded Actuators," Journal of the American Ceramic Society, Vol. 86, No. 7, 2003, pp. 1094-1098.
12. Alexander, P. W., Brei, D., and Halloran, J. W., "DEPP Co-Extruded Functionally Graded Piezoceramics," 2005 ASME International Mechanical Engineering Congress and Exposition, American Society of Mechanical Engineers Paper 2005-80217, 2005.
13. Noor, A. K., "Finite Element Buckling and Postbuckling Analyses," Buckling and Postbuckling of Composite Plates, edited by G. J. Turvey, and I. H. Marshall, Chapman & Hall, London, 1995, pp. 58-107.
14. Whitney, J. M., Structural Analysis of Laminated Anisotropic Plates, Technomic, Lancaster, PA, 1987.
15. Reddy, J. N., Mechanics of Laminated Composite Plates and Shells. Theory and Analysis, 2nd ed., CRC Press, Boca Raton, FL, 2004.
16. Bert, C. W., and Gordaninejad, F., "Transverse Shear Effects in Bimodular Composite Laminates," Journal of Composite Materials, Vol. 17, No. 4, 1983, pp. 282-298.
17. Dorf, R. C., Modern Control Systems, 5th ed., Addison-Wesley, Reading, MA, 1989.
18. Luo, H., and Hanagud, S., "Dynamics of Delaminated Beams," International Journal of Solids and Structures, Vol. 37, No. 10, 2000, pp. 1501-1519.
19. Wang, J., and Tong, L., "A Study of the Vibration of Delaminated Beams Using a Nonlinear Anti-Interpenetration Constraint Model," Composite Structures, Vol. 57, No. 1, 2002, pp. 483-488.
20. Yin, W. L., and Jane, K. C., "Vibration of a Delaminated Beam-Plate Relative to Buckled States," Journal of Sound and Vibration, Vol. 156, No. 1, 1992, pp. 125-140.
21. Simitses, G. J., "Delamination Buckling of Flat Laminates," Buckling and Postbuckling of Composite Plates, edited by G. J. Turvey, and I. H. Marshall, Chapman & Hall, London, 1995, pp. 299-328.
22. Librescu, L., and Lin, W., "Vibration of Thermomechanically Loaded Flat and Curved Panels Taking into Account Geometric Imperfections and Tangential Edge Restraints," International Journal of Solids and Structures, Vol. 34, No. 17, 1997, pp. 2161-2181.
23. Librescu, L., Lin, W., Nemeth, M. P., and Starnes, J. H., Jr., "Vibration of Geometrically Imperfect Panels Subjected to Thermal and Mechanical Loads," Journal of Spacecraft and Rockets, Vol. 33, No. 2, 1996, pp. 285-291.
24. Hill, M. R., and Lin, W.-Y., "Residual Stress Measurement in a Ceramic-Metallic Graded Material," Journal of Engineering Materials and Technology, Vol. 124, No. 2, 2002, pp. 185-191.
25. Rao, S. S., Mechanical Vibrations, 3rd ed., Addison-Wesley, Reading, MA, 1995.