Dynamic stiffness laminate elements for exact modal analysis of aeronautical structures

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012

Volumn , Issue , 2012, Pages

  Boscolo, M ^a,b   Banerjee, J R ^a  

^a CITY UNIVERSITY   (United Kingdom)

^b School of Engineering and Applied Mathematics   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; EQUATIONS OF MOTION; MODAL ANALYSIS; NATURAL FREQUENCIES; SHEAR DEFORMATION; STIFFNESS; STIFFNESS MATRIX; STRUCTURAL DYNAMICS; STRUCTURAL PANELS; VIBRATION ANALYSIS; WINGS;

AERONAUTICAL STRUCTURES; DYNAMIC STIFFNESS MATRIX; DYNAMIC STIFFNESS METHOD; FIRST-ORDER SHEAR DEFORMATION THEORY; FREE-VIBRATION ANALYSIS; GENERAL BOUNDARY CONDITIONS; HAMILTON'S PRINCIPLE; NATURAL FREQUENCIES AND MODES;

PLATES (STRUCTURAL COMPONENTS);

EID: 85087535350     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2012-1473     Document Type: Conference Paper

References (25)

1. Zienkiewicz, O. C. and Taylor, R. L., The Finite element method, Vol. 1: The basis, Butterworth-Heinemann, 5th ed., 2000.
2. Williams, F. W. and Wittrick, W. H., "An automatic computational procedure for calculating natural frequencies of skeletal structures, " International Journal of Mechanical Sciences, Vol. 12, No. 9, 1970, pp. 781-791.
3. Banerjee, J. R., Cheung, C. W., Morishima, R., Perera, M., and Njuguna, J., "Free vibration of a three-layered sandwich beam using the dynamic sti®ness method and experiment, " International Journal of Solids and Structures, Vol. 44, No. 22-23, 2007, pp. 7543-7563.
4. Banerjee, J. R., "Dynamic sti®ness formulation for structural elements: A general approach, " Computers and Structures, Vol. 63, No. 1, 1997, pp. 101-103.
5. Banerjee, J. R., "Coupled bending-torsional dynamic sti®ness matrix for beam elements, " International Journal of Numerical Methods in Engineering, Vol. 28, 1989, pp. 1283-1298.
6. Wittrick, W. H. and Williams, F. W., "Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings, " International Journal of Mechanical Sciences, Vol. 16, No. 4, 1974, pp. 209-239.
7. Williams, F. W., Kennedy, D., Butler, R., and Anderson, M. S., "VICONOPT: Program for exact vibration and buckling analysis or design of prismatic plate assemblies, " AIAA Journal, Vol. 29, 1991, pp. 1927-1928.
8. Anderson, M. and Kennedy, D., "Transverse shear deformation in the exact buckling and vibration analysis of composite plate assemblies, " AIAA Journal, Vol. 31, No. 10, 1993, pp. 1963-1965.
9. Anderson, M. and Kennedy, D., "Inclusion of Transverse shear deformation in the exact buckling and vibration analysis of composite plate assemblies, " Tech. Rep. Contractor report 4510, NASA, Lagley, Viginia, 1993.
10. Boscolo, M. and Banerjee, J. R., "Dynamic sti®ness elements and their applications for plates using first order shear deformation theory, " Computers and Structures, Vol. 89, 2010, pp. 395-410.
11. Boscolo, M. and Banerjee, J. R., "Dynamic sti®ness method for exact inplane free vibration analysis of plates and plate assemblies, " Journal of Sound and Vibration, Vol. 330, 2011, pp. 29282936.
12. Boscolo, M. and Banerjee, R. J., "Dynamic sti®ness formulation for composite Mindlin plates for exact modal analysis of structures. Part I: Theory, " Computers and Structures, Vol. 96-97, 2012, pp. 61-73.
13. Boscolo, M. and Banerjee, R. J., "Dynamic sti®ness formulation for composite Mindlin plates for exact modal analysis of structures. Part II: Results and applications, " Computers and Structures, Vol. 96-97, 2012, pp. 73-84.
14. Reddy, J., Mechanics of laminated composite plates and shells: theory and analysis., chap. 3, Classical and first-order theories of laminated composite plates, CRC Press, 1997, pp. 109-164.
15. Carrera, E. and Boscolo, M., "Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates, " International journal for numerical methods in engineering, Vol. 70, 2007, pp. 1135-1181.
16. Mindlin, R. D., "Inůence of Rotatory Inertia and Shear on Flexural Vibrations of Isotropic, Elastic Plates, " Journal of Applied Mechanics, Vol. 18, 1951, pp. 1031-1036.
17. Reissner, E., "On the theory of bending of elastic plates, " Journal of Mathematical Physics, Vol. 23, No. 4, 1944, pp. 184-191.
18. Leissa, A. W., "Vibration of plates, " Tech. Rep. NASA SP-160, National Aeronautics and space administration, Wash-ington, 1969.
19. Chopra, I., "Vibration of stepped thickness plates, " International Journal of Mechanical Sciences, Vol. 16, 1974, pp. 337-344.
20. Reddy, J. N. and Phan, N. D., "Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory, " Journal of Sound and Vibrations, Vol. 98, No. 2, 1985, pp. 157-170.
21. Gorman, D., "Exact solutions for the free in-plane vibration of rectangular plates with two opposite edges simply sup-ported, " Journal of Sound and Vibration, Vol. 294, No. 1-2, 2006, pp. 131-161.
22. Xing, Y. F. and Liu, B., "New exact solutions for free vibrations of thin orthotropic rectangular plates, " Composite Structures, Vol. 89, No. 4, 2009, pp. 567-574.
23. Wittrick, W. H. and Williams, F. W., "A general algorithm for computing natural frequencies of elastic structures, " Quarterly Journal of mechanics and applied sciences, Vol. 24, No. 3, 1970, pp. 263-284.
24. Civalek, O., "Free Vibration Analysis of Symmetrically Laminated Composite Plates with First-Order Shear Deformation Theory (FSDT) by Discrete Singular Convolution Method, " Finite Elements in Analysis and Design, Vol. 44, 2008, pp. 725-731.
25. Khdeir, A. A. and Librescu, L., "Analysis of Symmetric Cross-ply Laminated Elastic Plates Using Higher-order Theory: Part II-Buckling and Free Vibration, " Composite Structures, Vol. 9, 1988, pp. 259-277.