Transverse vibration of a rectangularly orthotropic spinning disk, part 1: Formulation and free vibration

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 121, Issue 3, 1999, Pages 273-279

  Phylactopoulos, A ^a   Adams, G G ^a  

^a Northeastern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ORTHOTROPIC BENDING STIFFNESS; RECTANGULAR ORTHOTROPY; TRANSVERSE VIBRATION;

ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; INTEGRATION; ITERATIVE METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; ROTATING DISKS; STIFFNESS;

VIBRATIONS (MECHANICAL);

EID: 0032668539     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893976     Document Type: Article

References (24)

1. Barasch, S., and Chen, Y., 1972, “On the Vibration of a Rotating Disk,” ASME Journal of Applied Mechanics, Vol. 39, pp. 1143-1144.
2. Benson, R.C., and Bogy, D.B., 1978, “Deflection of a Very Flexible Spinning Disk Due to a Stationary Transverse Load,” ASME Journal of Applied Mechanics, Vol. 45, pp. 636-642.
3. Bhushan, B., 1992, Mechanics and Reliability of Flexible Magnetic Media, Springer-Verlag, New York.
4. Bianchi, A., Avalos, D.R., and Laura, P.A.A., 1985, “A Note on the Transverse Vibrations of Annular Circular Plates of Rectangular Orthotropy,” Journal of Sound and Vibration, Vol. 99, pp. 140-143.
5. Bogy, D.B., and Talke, F.E., 1984, “Creep of a Rotating Orthotropic Plate,” Tribology and Mechanics of Magnetic Storage Systems, Vol. 1, ASLE SP-16, pp. 115-125.
6. Eversman, W., and Dodson, R.O., 1969, “Free Vibration of a Centrally Clamped Spinning Circular Disk,” AIAA Journal, Vol. 7, pp. 2010-2012.
7. Hoppmann, W.H., 1958, “Flexural Vibration of Orthogonally Stiffened Circular and Elliptical Plates,” Proceedings of the Third U.S. National Congress of Applied Mechanics, pp. 181-187.
8. Johnson, M.W., 1960, “On the Dynamics of Shallow Elastic Membranes,” Proceedings of the Symposium on the Theory of Thin Elastic Shells, W.T. Koiter, ed, North-Holland Publishing Co., Amsterdam.
9. Lamb, H., and Southwell, R.V., 1921, “The Vibrations of a Spinning Disk,” Proceedings of the Royal Society of London, Series A, Vol. 99, pp. 272-280.
10. Leissa, A.W., Laura, P.A.A., and Gutierrez, R.H., 1979, “Transverse Vibrations of Circular Plates Having Nonuniform Edge Constraints,” Journal of the Acoustical Society of America, Vol. 66, pp. 180-184.
11. Lekhnitskii, S.G., 1963, Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, Inc., San Francisco.
12. Nayfeh, A.H., Mook, D.T., Lobitz, D.W., and Sridhar, S., 1976, “Vibrations of Nearly Annular and Circular Plates,” Journal of Sound and Vibration, Vol. 47, pp. 75-84.
13. Parker, R.G., and Mote Jr., CD., 1996a, “Exact Boundary Condition Perturbation Solutions in Eigenvalue Problems,” ASME Journal of Applied Mechanics, Vol. 63, pp. 128-135.
14. Parker, R.G., and Mote Jr., CD., 1996b, “Exact Perturbation for the Vibration of Almost Annular or Circular Plates,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, Vol. 118, pp. 436-445.
15. Petzold, L.R., 1983, “SUBROUTINE DDASSL,” Differential/Algebraic System Solver, Computing and Mathematics Research Division, Lawrence Livermore National Laboratory, Livermore, California.
16. Phylactopoulos, A., and Adams, G.G., 1995, “The Response of a Nonuniformly Tensioned Circular String to a Moving Load,” Journal of Sound and Vibration, Vol. 182, pp. 415-426.
17. Phylactopoulos, A., and Adams, G.G., 1999, “Vibration of a Rectangularly Orthotropic Spinning Disk, Part 2; Forced Vibrations and Critical Speeds,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, in press.
18. Simmonds, J.G., 1962, “The Transverse Vibrations of a Flat Spinning Membrane,” Journal of the Aeronautical Sciences, Vol. 29, pp. 16-18.
19. Southwell, R.V., 1922, “On the Free Transverse Vibrations of a Uniform Circular Disc Clamped at its Centre; and on the Effects of Rotation,” Proceedings of the Royal Society of London, Series A, Vol. 101, pp. 133-153.
20. Tobias, S.A., and Arnold, R.N., 1957, “The Influence of Dynamic Imperfections on the Vibrations of Rotating Disks,” Proceedings of the Institute for Mechanical Engineers, Vol. 171, pp. 669-690.
21. Tseng, J.G., and Wickert, J.A., 1994a, “On the Vibration of Bolted Plate and Flange Assemblies,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, Vol. 116, pp. 468-473.
22. Tseng, J.G., and Wickert, J.A., 1994b, “Vibration of an Eccentrically Clamped Annular Plate,” ASME JOURNAL OF VIBRATION AND ACOUSTICS, Vol. 116, pp. 155-160.
23. Wolfram, S., 1991, Mathematica, A System for Doing Mathematics by Computer, Second Edition, Addison-Wesley Publishing Company, Reading, Massachusetts.
24. Yu, R.C, and Mote Jr., CD., 1987, “Vibration and Parametric Excitation in Asymmetric Circular Plates Under Moving Loads,” Journal of Sound and Vibration, Vol. 119, pp. 409-427.