Elastic stability of square stiffened plates with cutouts under biaxial loading

• Autorzy: Srivastava A. K. L. , Datta P. K.
• Języki publikacji: EN

Abstrakty

EN

A finite element method for the buckling loads on a longitudinally square stiffened plate with square cutouts is investigated under various combinations of biaxial loading at the plate boundary. The forces are assumed to act in the plane of the undeformed middle surface of the plate. The characteristic equations for the natural frequencies, buckling loads and their corresponding mode shapes are obtained from the equation of motion. The buckling load parameter for various modes of the stiffened plate with square cutouts subjected to in-plane biaxial loads, has been determined for various edge conditions. Numerical results are presented for a range of hole to plate size from 0 to 0.8. In the structural modeling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained. The present approach is more flexible than any other finite element modeling in that the mesh division is independent of the location of the stiffeners.

Słowa kluczowe

EN

finite element method; buckling; vibration; cut-out; buckling load parameter

PL

wibracje; wytrzymałość materiałów

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 2
• Strony: 421--433
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Srivastava A. K. L.

autor

Datta P. K.

• Applied Mechanics Department N. I. T. Jamshedpur- 831014, INDIA,

Bibliografia

• Ali R. and Atwal S.J. (1987): Prediction of natural frequencies of vibration of rectangular plates with rectangular cutouts. - Computer and Structures, vol.12, pp.819-823.
• Chang C.D. and Chiang F.K. (1988): Vibration analysis of a thick plate with an interior cutout by a finite element method. - Journal of sound and Vibration, vol.125, No.3, pp.477-486.
• Corr R.B. and Jenning A. (1976): A simultaneous iteration algorithms for symmetric eigenvalue problem. - International Journal of Numerical Method Eng., vol.10, pp.647-663.
• Lam K.Y. and Hung K.C. (1990): Vibration study on plates with stiffened openings using orthogonal polynomials and partitioning method. - Computer and Structures, vol.33, No.3, pp.295-301.
• Laura P.A.A., Utjes J.C. and Palluzzi V.H. (1986): On the effect of free, rectangular cutouts along the edge on the transverse vibrations of rectangular plates. - Journal of Applied Mechanics, vol.19, pp.139-151.
• Lee H.P., Lim S.P. and Chow S.T. (1990): Prediction of natural frequencies of rectangular plates with rectangular cutouts. - Computer and Structures, vol.36, No.5, pp.861-869.
• Monahan I.J., Nemergut P.J. and Maddux G.E. (1970): Natural frequencies and mode shapes of plates with interior cutouts. - The Shock and Vibration Bulletin, vol.41, pp.37-49.
• Mukherjee A. and Mukhopadhyay M. (1988): Finite element free vibration of eccentrically stiffened plates. - Computer and Structures, vol.30, pp.1303-1317.
• Mundkur G., Bhat R.B. and Neria S. (1994): 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.
• Olson,M.D and Hazell C.R. (1977): Vibration studies of some integral rib stiffened plates. - Journal of Sound and Vibration, vol.50, pp.43-61.
• Paramasivan P. (1973a): Free vibration of square plate with square openings. - Journal of Sound and Vibration, vol.30, No.2, pp.173-178.
• Paramshivam P and Sridhar J.K. (1973b): Free vibration of square plate with stiffened square openings. - International Journal ofMechanical Science, vol.15, pp.117-122.
• Reddy J.N. (1982): Large amplitude flexural vibration of layered composite plates with cutouts. - Journal of Sound and Vibration, vol.83, No.1, pp.1-10.
• Shastry B.P. and Rao G.V (1977): Vibration of thin rectangular plates with arbitrary oriented stiffeners. - Computer and Structures, vol.7, pp.627-629.
• Sivasubramonium B., Rao G.V. and Krishnan A. (1999): Free vibration of longitudinally stiffened curved panels with cutout. - Journal of Sound and Vibration, vol.226, No.1, pp.41-55.
• Srivastava A.K.L., Datta P.K. and Sheikh A.H. (2002): Vibration and dynamic stability of stiffened plates subjected to in-plane harmonic edge loading. - International J of Structural Stability and Dynamics, vol.2, No.2, pp.185-206.
• Srivastava A.K.L., Datta P.K. and Sheikh A.H. (2003): Buckling and vibration of stiffened plates subjected to partial edge loading. - International Journal of Mechanical Sciences, vol.45, No.1, pp.73-93.
• Srivastava A.K.L., Datta P.K. and Sheikh A.H. (2003): Dynamic stability of stiffened plates subjected to non-uniform harmonic in-plane edge loading. - Journal of Sound and Vibration, vol.262, No.5, pp.1171-1189.