Numerical procedure for the dynamic analysis of three-dimensional aeronautical structures

Journal of Aircraft

Volumn 34, Issue 1, 1997, Pages 120-130

  Tizzi, Silvano ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; POLYNOMIALS; STIFFNESS; STRAIN; VIBRATIONS (MECHANICAL);

HAMILTON'S PRINCIPLE; RAYLEIGH RITZ METHOD; SOFTWARE PACKAGE NASTRAN;

AIRCRAFT PARTS AND EQUIPMENT;

EID: 0030785872     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/2.2145     Document Type: Article

References (24)

1. Tizzi, S., "A Numerical Procedure for the Analysis of a Vibrating Panel in Critical Flutter Conditions," Computers & Structures, Vol. 50, No. 3, 1994, pp. 299-316.
2. Tizzi, S., "Application of a Numerical Procedure for the Dynamic Analysis of Plane Aeronautical Structures," Journal of Sound and Vibration, Vol. 193, No. 5, 1996, pp. 957-983.
3. Juanky, N., Knight, N. F., Jr., Ambur, D. R., "Buckling of Arbitrary Quadrilateral Anisotropic Plates," AIAA Journal, Vol. 33, No. 5, 1995, pp. 938-944.
4. Kantorovich, L. V., and Krylov, V. I., Approximate Methods of Higher Analysis, Interscience, New York, 1964, pp. 258-303.
5. Martin, A. I., and Leissa, A. W., "Application of the Ritz Method to Plane Elasticity Problems for Composite Sheets with Variable Fibre Spacings," International Journal for Numerical Methods in Engineering, Vol. 28, No. 8, 1989, pp. 1813-1825.
6. Reddy, J. N., Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill, New York, 1986, pp. 258-285.
7. Hughes, T., and Hinton, E., Finite Elements Methods for Plates and Shells Structures, Vols. 1 and 2, Pineridge, Swansea, Wales, UK, 1986.
8. Reddy, J. N., Krishnamoorthy, C. S., and Seetharamu, K. N., Finite Elements Analysis for Engineering Design, Springer-Verlag, Berlin, 1988.
9. Mikhlin, S. G., Variational Methods in Mathematical Physics, Pergamon, Oxford, England, UK, 1964, pp. 74-125.
10. Fichera, G., Numerical and Quantitative Analysis, Pitman, London, 1987, pp. 1-12.
11. Pars, L. A., A Treatise of Analytical Dynamics, Books Ltd., Belfast, 1968, pp. 34-37.
12. Mindlin, R. D., "Influence of Rotary Inertia and Shear in Flexural Motion of Isotropic, Elastic Plates," Journal of Applied Mechanics, Vol. 18, No. 1, 1951, pp. 31-38.
13. Gould, P. L., Analysis of Shells and Plates, Springer-Verlag, New York, 1988, pp. 344-346.
14. Giles, G. L., "Equivalent Plate Analysis of Aircraft Wing Box Structures with General Planform Geometry," Journal of Aircraft, Vol. 23, No. 11, 1986, pp. 859-864.
15. Giles, G. L., "Further Generalization of an Equivalent Plate Representation for Aircraft Structure Analysis," Journal of Aircraft, Vol. 26, No. 1, 1989, pp. 67-74.
16. Santini, P., Introduzione alia Teoria Delle Strutture, Tamburini Editire, Milano, 1973, pp. 294-287, 315-318.
17. Livne, E., "Equivalent Plate Structural Modeling for Wing Shape Optimization Including Transverse Shear," AIAA Journal, Vol. 32, No. 6, 1994, pp. 1278-1288.
18. Liew, K. M., and Lim, M. K., "Tranverse Vibration of Trapezoidal Plates of Variable Thickness: Symmetric Trapezoids," Journal of Sound and Vibration, Vol. 165, No. 1, 1993, pp. 45-67.
19. Liew, K. M., Lim, C. V., and Lim, M. K., "Transverse Vibration of Trapezoidal Plates of Variable Thickness: Unsymmetric Trapezoids," Journal of Sound and Vibration, Vol. 177, No. 4, 1994, pp. 479-501.
20. Liew, K. M., Xiang, Y., Kitipornchai, S., and Wang, C. M., "Vibration of Thick Skew Plates Based on Mindlin Shear Deformation Plate Theory," Journal of Sound and Vibration, Vol. 168, No. 1, 1993, pp. 39-69.
21. McGee, O. G., and Butalia, T. S., "Natural Vibrations of Shear Deformable Cantilevered Skew Thick Plates," Journal of Sound and Vibration, Vol. 176, No. 3, 1994, pp. 351-376.
22. Santini, P., Sneider, M. A., and Leuzzi, L., "Structural Dynamics of a Cantilever Swept Wing," L'Aerotecnica, Missili e Spazio, Vol. 65, No. 3, 1986, pp. 141-149.
23. The NAG Fortran Library Manual, Mark 15," NAG Inc., Downers Grove, IL, 1991.
24. Schaeffer, H. G., "MSC/NASTRAN Primer: Static and Normal Modes, Analysis," Schaeffer Analysis Inc., Mount Vernon, New Hampshire, 1984, pp. 235-240, 360.