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Abstract
The dynamic instability behaviour of stffined plates with cutout is of great technical importance for understanding the behaviour of the system. In the present study, dynamic instability behaviour of stffined plates with cutouts are investigated by using theJinite element method. The method of Hill's infinite determinants is applied to analyze the dymmic instability regions. Rectangular stilfened plates with cutouts possessing diferent boundary conditions, aspect ralios, varying mass and stffiess properties and varying number of stiffeners have been analyzed for dynamic instability. The influence of various parameters like effects of size of cutout, load position, aspect ratios, and boundary condition, other paramelers of stffined plates have been studied. The method highlights interesting effects when stffined plate with cutout is subjected to uniftrm in-plane edge load. In the structural modelling, the plate and the stffiner are treated as separate elements where the compatibility between these two types of elements are maintained. The present approach is moreflexible than any otherJinite element modelling in that the mesh division is independent of the location of the stiffeners.
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References
- Ali, R. and Atwal, S.J., "Prediction of Natural Frequencies of Vibration of Rectangular Plates with Rectangular Cutouts". Computer and Structures, Vol. 12, pp. 819-823, 1987.
- Shastry, B. P. and Rao, G. V, "Vibration of Thin Rectangular Plates with Arbitrary Oriented Stiffeners". Computer and Structures, Vol. 7,pp.627-629, 1977.
- Reddy, J. N., "Large Amplitude Flexural Vibration of Layered Composite Plates with Cutouts", Journal of Sound and Vibration, Vol.83, No. l, pp. 1-10, 1982.
- Laura, P. A. A., Udes, J. C. and Palluzn,Y. H., "On the Effect of Free, Rectangular Cutouts Along the Edge on the Transverse Vibrations of Rectangular Plates", Applied Mechanics, Vol.19, pp. 139-151, 1986.
- Paramasivam, P., "Fee Vibration of Square Plate with Square Openings", Journal of Sound and Vibration, Vol. 30, No.2, pp. 173-178,1973.
- Monahan, I. J., Nemergut, P. J. and Maddux, G. E., "Natural Frequencies and Mode Shapes of Plates with Interior Cutouts", The Shock and Vibration Bulletin, Vol. 4l, pp. 37-49, 1970.
- Mundkur, G., Bhat, R. B. and Neria, S., "Vibration of Plates with Cutouts Using Boundary Characteristics Orthogonal Polynomial Functions in the Raleigh-Ritz Method". Journal of Sound and Vibration, Vol. 176, No.1, pp. 136-144, 1994.
- Chang, C.D. and Chiang, F.K., "Vibration Analysis of a Thick Plate with an Interior Cutout by a Finite Element Method of Journal of Sound and Vibration, Vol.l25, No.3, pp. 477-486, 1988.
- Lee, H.P., Lim, S.P. and Chow, S. T., "Prediction of Natural Frequencies of Rectangular Plates with Rectangular Cutouts", Computer and Structures, Vol. 36, No. 5, pp. 861-869, 1990.
- Ritchie, D. and Rhodes., "Buckling and Post-buckling Behavior of Plates with Holes", Aeronautical Quarterly, Vol. 24, pp. 281-296, 1975.
- Sivasubramaniam, B., Rao, G. V. and Krishnan, A., "Free Vibration of Longitudinally Stiffened Curved Panels with Cutout". Journal of Sound and Vibration. Vol. 226, No.1, pp. 41-55, 1999.
- Lam, K. Y. and Hung, K. C., "Vibration Study on Plates with Stiffened Openings Using Orthogonal Polynomials and Partitioning Method", Computer and Structures, Vol. 33, No.3, pp. 295-301,1990.
- Paramshivam, P. and Sridhar, J.K., "Free Vibration of Square Plate with Stiffened Square Openings", International Journal of Mechanical Science, Vol. 15, pp. 117-122, 1973.
- Mukherjee, A. and Mul4ropadhy?y, M., "Finite Element Free Vibration of Eccentrically Stiffened Plates", Computer and Structures, Vol. 30, pp. 1303-1317.1988.
- Corry, R.B. and Jennine. A., "A Simultaneous literation Algorithms for Symmetric Eigenvalue Problem.". International Journal of Numerical Method Engineering, Vol. 10, pp. 647 -663, 1976.
References
Ali, R. and Atwal, S.J., "Prediction of Natural Frequencies of Vibration of Rectangular Plates with Rectangular Cutouts". Computer and Structures, Vol. 12, pp. 819-823, 1987.
Shastry, B. P. and Rao, G. V, "Vibration of Thin Rectangular Plates with Arbitrary Oriented Stiffeners". Computer and Structures, Vol. 7,pp.627-629, 1977.
Reddy, J. N., "Large Amplitude Flexural Vibration of Layered Composite Plates with Cutouts", Journal of Sound and Vibration, Vol.83, No. l, pp. 1-10, 1982.
Laura, P. A. A., Udes, J. C. and Palluzn,Y. H., "On the Effect of Free, Rectangular Cutouts Along the Edge on the Transverse Vibrations of Rectangular Plates", Applied Mechanics, Vol.19, pp. 139-151, 1986.
Paramasivam, P., "Fee Vibration of Square Plate with Square Openings", Journal of Sound and Vibration, Vol. 30, No.2, pp. 173-178,1973.
Monahan, I. J., Nemergut, P. J. and Maddux, G. E., "Natural Frequencies and Mode Shapes of Plates with Interior Cutouts", The Shock and Vibration Bulletin, Vol. 4l, pp. 37-49, 1970.
Mundkur, G., Bhat, R. B. and Neria, S., "Vibration of Plates with Cutouts Using Boundary Characteristics Orthogonal Polynomial Functions in the Raleigh-Ritz Method". Journal of Sound and Vibration, Vol. 176, No.1, pp. 136-144, 1994.
Chang, C.D. and Chiang, F.K., "Vibration Analysis of a Thick Plate with an Interior Cutout by a Finite Element Method of Journal of Sound and Vibration, Vol.l25, No.3, pp. 477-486, 1988.
Lee, H.P., Lim, S.P. and Chow, S. T., "Prediction of Natural Frequencies of Rectangular Plates with Rectangular Cutouts", Computer and Structures, Vol. 36, No. 5, pp. 861-869, 1990.
Ritchie, D. and Rhodes., "Buckling and Post-buckling Behavior of Plates with Holes", Aeronautical Quarterly, Vol. 24, pp. 281-296, 1975.
Sivasubramaniam, B., Rao, G. V. and Krishnan, A., "Free Vibration of Longitudinally Stiffened Curved Panels with Cutout". Journal of Sound and Vibration. Vol. 226, No.1, pp. 41-55, 1999.
Lam, K. Y. and Hung, K. C., "Vibration Study on Plates with Stiffened Openings Using Orthogonal Polynomials and Partitioning Method", Computer and Structures, Vol. 33, No.3, pp. 295-301,1990.
Paramshivam, P. and Sridhar, J.K., "Free Vibration of Square Plate with Stiffened Square Openings", International Journal of Mechanical Science, Vol. 15, pp. 117-122, 1973.
Mukherjee, A. and Mul4ropadhy?y, M., "Finite Element Free Vibration of Eccentrically Stiffened Plates", Computer and Structures, Vol. 30, pp. 1303-1317.1988.
Corry, R.B. and Jennine. A., "A Simultaneous literation Algorithms for Symmetric Eigenvalue Problem.". International Journal of Numerical Method Engineering, Vol. 10, pp. 647 -663, 1976.