VIBRATION ANALYSIS OF ROTATING PRE-TWISTED CANTILEVER PLATE BY USING THE FINITE ELEMENT METHOD
Main Article Content
Abstract
In this paper the finite element method has been used to determine the fundamental natural
frequencies of a pre-twisted plate mounted on the periphery of a rotating disc. Three dimensional,
finite element programs was built using three noded triangular shell element as a discretization
element for cantilever plate, this element has six degrees of freedom at each node. All formulations
and computations are coded in (FORTRAN-77). The investigation covers the effect of speed of
rotation, disc radius, aspect ratio, pre-twist angle and skew angle on the vibration characteristics of
rotating cantilever plate. For this analysis, the initial stress effect (geometric stiffness) and other
rotational effects except the corioles acceleration effect have been included. The eigenvalues have
been extracted by using simultaneous iteration technique. Results shown that the natural
frequencies increase when; angular speed and disc radius are increases
Article Details
How to Cite
Publication Dates
References
-Bodley. C, A. Devers, A.Park and H. Frisch 1978 NASA ¹P-1219. A digital computer program for the dynamic interaction simulation of controls and structure.
-Bauer. H, 1980 Journal of Sound and Vibration 72, 177-189. Vibration of a rotating uniform beam.
-Christensen. E and S. Lee 1986 Computers & Structures 23, 819-829. Non-linear finite element modeling of the dynamic system of unrestrained flexible structures.
-Cowper. G. R 1973, International Journal for Numerical Methods in Engineering 7, p 405-408, "Gussian quadrature formulasn for triangle".
-Hale A. L and L. Meirovitch 1980 Journal of Sound and Vibration 69, 309-326. A general substructure synthesis method for the dynamic simulation of complex structures.
-Henry. R and M. Lalanne, 1974, "Vibration analysis of rotating compressor blade", J. of Engineering for Industry, Transactions of ASME 3, 1028-1035.
-Jennings. A and D. R. L. Orr 1977, International Journal for Numerical Methods in Engineering 3, p 13-24, "Application of The simultaneous Iteration Method to undamped Vibration Problems".
-Kuo. Y, T.wu and S. Lee 1994 Computers & Structures 22, 229-236. Bending vibration of a rotating non-uniform beam with tip mass and an elastically restrained root.
-Rao. J, 1987 Shock and Vibration 19, p 3-10. Turbomachine blade vibration.
-Rao. J. S, "Dynamic of plates", New Delhi: Narosa Publishing House, 1999, pp-532.
-Subrahmanyam. K, K.Kaza, G. Brown and C. LAWRENCE 1987 Journal of Aircraft 24, 342-352. Nonlinear vibration and stability of rotating pre-twisted preconed blades including Coriolis effects.
-Schilhansl. M, 1958 ASME Journal of Applied Mechanics 25, 28-30. Bending frequency of a rotating cantilever beam.
-Southwell. R and F. Gough 1921 British A.R.C. Reports and Memoranda, No. 766. The free transverse vibration of airscrew blades.
-Timoshenko. S and S. Woinowsky-Krieger 1959, "Theory of Plates and Sell", New York:McGraw-Hill Book Company.
-Wright. A, C.Smith, R.Thresher and J. Wang 1982 ASME Journal of Applied Mechanics 49, 197- 202. Vibration modes of centrifugally stiffened beams.
-Yoo. H. H, R. R.Ryan and R. A. Scott 1995 Journal of Sound and Vibration 181, 261-278. Dynamics of flexible beams undergoing overall motion.
-Yoo. H. H and S. H. Shin 1998 Journal of Sound and Vibration 212, 807-828. Vibration analysis of rotating cantilever beams.