Browse > Article
http://dx.doi.org/10.3795/KSME-A.2005.29.6.889

Modal Analysis Employing In-plane Strain of Cantilever Plates Undergoing Translational Acceleration  

Yoo Hong Hee (한양대학교 기계공학부)
Lim Hong Seok (한양대학교 대학원 기계설계학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.29, no.6, 2005 , pp. 889-894 More about this Journal
Abstract
A modeling method for the modal analysis of cantilever plates undergoing in-plane translational acceleration is presented in this paper. Cartesian deformation variables are employed to derive the equations of motion and the resulting equations are transformed into dimensionless forms. To obtain the modal equation from the equations of motion, the in-plane equilibrium strain measures are substituted into the strain energy expression based on Von Karman strain measures. The effects of two dimensionless parameters (related to acceleration and aspect ratio) on the modal characteristics of accelerated plates are investigated through numerical studies.
Keywords
Modal Analysis; Cantilever Plates; Translational Acceleration; Aspect ratio; Von Karman Strain;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Chihara, T., 1978, An Introduction to Orthogonal Polynomials, London: Gordon and Breach Science Publishers
2 Leissa, A. W., 1969, Vibration of Plates, NASA SP-160
3 Bhat, R., 1985, 'Natural Frequencies of Rectangular Plates Using Characteristic Orthogonal Polynomials In Rayleigh-Ritz Method,' Journal of Sound and Vibration, 102(4), pp. 493-499   DOI   ScienceOn
4 Dokainish, M. and Rawtani, S., 1971, 'Vibration Analysis of Rotating Cantilever Plates,' International Journal for Numerical Methods in Engineering, Vol. 3, pp. 233-248   DOI
5 Ramamurti, V. and Kielb, R., 1984, 'Natural Frequencies of Twisted Rotating Plates,' Journal of Sound and Vibration, Vol. 97, No. 3, pp. 429-449   DOI   ScienceOn
6 Bhat, R., 'Transverse Vibrations of a Rotating Cantilever Beam with Tip Mass as Predicted by Using Beam Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method,' Journal of Sound and Vibration, Vol. 105, No.2, pp. 199-210,1986   DOI   ScienceOn
7 Liew, K.M. and Lim, M.K., 1993, 'Transverse Vibration of Trapezoidal Plates of Variable Thickness: Symmetric Trapezoidals,' Journal of Sound and Vibration, Vol. 165, No. 1, pp. 45-67   DOI   ScienceOn
8 Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A.R.C. Reports and Memoranda, No. 766
9 Theodorsen, T., 1935, 'Propeller Vibrations and the Effect of Centrifugal Force,' NASA TN, No. 516
10 Schilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' Transaction of ASME, Journal of Applied Mechanics, Vol. 25, pp. 28-30
11 Putter, S. and Manor, H., 'Natural Frequencies of Radial Rotating Beams,' Journal of Sound and Vibration, Vol. 56, pp. 175-185, 1978   DOI   ScienceOn