Vibrations of oblique shear-deformable plates

Journal of Sound and Vibration

Volumn 263, Issue 5, 2003, Pages 965-977

  Heuer, R ^a   Ziegler, F ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING MOMENTS; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; GREEN'S FUNCTION; NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS);

KIRCHHOFF PLATE; SHEAR-DEFORMATION THEORY;

VIBRATIONS (MECHANICAL);

EID: 0038545468     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00268-2     Document Type: Article

References (23)

1. A.W. Leissa, Vibration of plates, NASA SP-160, National Aeronautics and Space Administrations, Washington, DC, 1969.
2. A.W. Leissa, Vibration of shells, NASA SP-288, National Aeronautics and Space Administration, Washington, DC, 1973.
3. E. Reissner, Reflections on the theory of elastic plates, Applied Mechanics Reviews 38 (1985) 1453-1464.
4. H. Irschik, R. Heuer, F. Ziegler, Statics and dynamics of simply supported polygonal Reissner-Mindlin plates by analogy, Archive of Applied Mechanics 70 (2000) 231-244.
5. R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates, Journal of Applied Mechanics 18 (1951) 31-38.
6. H. Irschik, F. Ziegler, Dynamics of composite structures based on lower order eigenstrains analysis, in: G.P. Cherepanov (Ed.), Fracture: A Topical Encyclopedia of Current Knowledge, Krieger, Malabar, 1998, pp. 840-852.
7. K. Stamm, H. Witte, Sandwichkonstruktionen, Springer, Wien, 1974.
8. L. Librescu, Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-type Structures, Noordhoff, Leyden, 1975.
9. A.W. Leissa, Buckling and postbuckling theory for laminated composite plates, in: G.J. Turvey, I.J. Marshall (Eds.), Buckling and Postbuckling of Composite Plates, Chapman & Hall, London, 1995, pp. 3-29 (Chapter 1).
10. H. Irschik, Eine Analogie zwischen Lösungen für schubstarre und schubelastische Platten. Zeitschrift für Angewandte Mathematik und Mechanik 62 (1982) T129-T131.
11. H. Irschik, Membrane-type eigenmotions of Mindlin plates, Acta Mechanica 55 (1985) 1-20.
12. R. Heuer, H. Irschik, A boundary element method for eigen-value problems of polygonal membranes and plates, Acta Mechanica 66 (1987) 9-20.
13. H. Irschik, R. Heuer, F. Ziegler, Dynamic analysis of polygonal Mindlin plates on two-parameter foundation using classical plate theory and an advanced BEM, Computational Mechanics 4 (1989) 293-300.
14. H. Irschik, On vibrations of layered beams und plates, Zeitschrift für Angewandte Mathematik und Mechanik 73 (1993) T34-T45.
15. Y.-H. Pao, R. K. Kaul, Waves and vibrations in isotropic and anisotropic plates, in: G. Herrmann (Ed.), R.D. Mindlin and Applied Mechanics, Pergamon, New York 1974, pp. 149-195.
16. T.R. Tauchert, Thermally induced flexure, buckling and vibrations of plates, Applied Mechanics Reviews 44 (1991) 347-360.
17. R. Heuer, F. Ziegler, BEM solutions of vibrating oblique moderately thick plates, in: V. Postnov (Ed.), Mathematical Modeling in Solid Mechanics, Boundary and Finite Element Methods, Proceedings of the 19th International Conference, Vol. III, Russia. Publ. St. Petersburg State University, St. Petersburg, 2001, pp. 169-188 (in Russian, translated by V. Postnov).
18. E.B. Magrab, Vibrations of Elastic Structural Members, Sijthoff & Noordhoff, Alphen aan den Rijn, 1979.
19. F. Hartmann, Introduction to Boundary Elements, Springer, Berlin, 1989.
20. H. Antes, Static and dynamic analysis of Reissner-Mindlin plates, in: D.E. Beskos (Ed.), Boundary Element Analysis of Plates and Shells, Springer, Berlin, 1991, pp. 312-340.
21. A.H. Stroud, D. Secrest, Gaussian Quadrature Formulas, Prentice-Hall, New York, 1966.
22. F. Van der Weeën, Application of the boundary integral equation method to Reissner's plate model, International Journal of Numerical Methods in Engineering 18 (1982) 1-10.
23. F. Ziegler, H. Irschik, R. Heuer, Response of polygonally shaped membranes to random excitation, in: I. Elishakoff, R.H. Lyon (Eds.), Random Vibration-Status and Recent Developments, Elsevier, Amsterdam, 1986, pp. 555-565.