Stability analysis of a rotating multi-layer annular plate with a stationary frictional follower load

International Journal of Mechanical Sciences

Volumn 39, Issue 10, 1997, Pages 1117-1138

  Lee, Deoggyu ^a   Waas, Anthony M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Critical rotational speed; Frictional load; Rotating laminated disk; Sector element; Zig zag theory

Indexed keywords

EQUATIONS OF MOTION; FINITE ELEMENT METHOD; ROTATION; STABILITY;

FRICTIONAL LOAD; ZIG-ZAG THEORY;

DISKS (MACHINE COMPONENTS);

EID: 0031250362     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7403(97)00007-6     Document Type: Article

References (24)

1. Tobias, S. A. and Arnold, R. N., The influence of dynamical imperfection on the vibration of rotating disks. Proc. Instn Mech. Engrs, 1957, 171, 669-690.
2. Iwan, W. D. and Stahl, K. J., The response of an elastic disk with a moving mass system. J. Appl. Mech., 1973, 40, 445-451.
3. Iwan, W. D. and Moeller, T. L., The stability of a spinning elastic disk with a transverse load system. J. Appl. Mech., 1976, 43, 485-490.
4. Parker, R. G. and Mote, C. D., Tuning of the natural frequency spectrum of a circular plate by in-plane stress. J. Sound Vibration, 1991, 145(1), 95-110.
5. Ono, K., Chen, J. S. and Bogy, D. B., Stability analysis for the head-disk interface in a flexible disk drive. J. Appl. Mech., 1991, 58, 1005-1014.
6. Chen, J. S. and Bogy, D. B., Effects of load parameters on the natural frequencies and stability of a flexible spinning disk with a stationary load system. Trans. ASME, 1992, 230-235.
7. Young, T. H. and Liou, G. T., Coriolis effect on the vibration of a cantilever plate with time-varying rotating speed. Trans. ASME, 1992, 114, 232-241.
8. Chan, S. N., Mottershead, J. E. and Cartmell, M. P., Parametric resonances at subcritical speeds in discs with rotating frictional loads. J. Mech. Engng Sci., Part C, 1994, 417-425.
9. Lee, D. G., Waas, A. M. and Karnopp, B. H., Analysis of a rotating multi-layer annular plate with a layerwise zigzag theory - I. Free vibration. Computers Struct., accepted for publication.
10. Averill, R. C. and Yip, Y. C., Development of simple, robust finite elements based on refined theories for thick laminated beams. Computers Struct., 1996, 59(3), 529-546.
11. Di Sciuva, M., Bending, vibration and buckling of simply supported thick multi-layered orthotropic plates: an evaluation of a new displacement model. J. Sound Vibration, 1986, 105(3), 425-442.
12. Murakami, H., Laminated composite plate theory with improved in-plane response. J. Appl. Mech., 1986, 53, 661-666.
13. Di Sciuva, M., An Improved shear-deformation theory for moderately thick multilayered anisotropic shells and plates. J. Appl. Mech., 1987, 54, 589-596.
14. Di Sciuva, M., A general quadrilateral multilayered plate element with continuous interlaminar stresses. Computers Struct., 1993, 47(1), 91-105.
15. Wang, C. Y. and Yew, C. H., Impact damage in composite laminates. Computers Struct., 1990, 37(6), 967-982.
16. Cho, M. and Parmerter, R. R., Efficient higher order composite plate theory for general lamination configuration. AIAA J., 1993, 31(7), 1299-1306.
17. Averill, R. C., Static and dynamic response of moderately thick laminated beams with damage. Composites Engng, 1994, 4(4), 381-395.
18. Washizu, K., Variational Methods in Elasticity and Plasticity, 3rd edn. Pergamon, Oxford, UK, 1982.
19. Fung, Y. C., Foundations of Solid Mechanics. Prentice-Hall, NY, 1965.
20. Jones, R. M., Mechanics of Composite Materials. McGraw-Hill, NY, 1975.
21. Mote, C. D., Jr. and Szymani, R., Circular saw vibration research. Shock Vibration Digest, 1978, 10(6), 15-30.
22. Ghosh, A. K. and Dey, S. S., Free vibration of laminated composite plates - A simple finite element based on higher order theory. Computers Struct., 1994, 52(3), 397-404.
23. Mottershead, J. E. and Chan, S. N., Flutter instability of circular discs with frictional follower load. J. Vibration Acoustics, 1995, 117, 161-163.
24. Bathe, K. J., Finite Element Procedures in Engineering Analysis. Prentice-Hall, 1982.