Stability, Free Vibration, and Bending Behavior of Multistiffened Plates
Publication: Journal of Engineering Mechanics
Volume 123, Issue 4
Abstract
This paper investigates the static and dynamic behavior of stiffened plates. As a first stage, a new method of analysis is presented. The structure is idealized as assembled plate and stiffener elements rigidly connected at their junctions. The strain energy of the system is then expressed in terms of generalized inand out-of-plane displacement functions. The resulting nonlinear strain energy function of the assembled structure is then transformed into an unconstrained optimization problem, and sequential quadratic programming (SQP) is used to determine the magnitudes of buckling load; the natural frequency and the associated mode shapes for plate buckling and dynamic analysis, respectively; and the maximum deflection for plate bending problems. Verifications of numerical procedure with other methods are also presented. Finally, using the described algorithm, results are presented showing the variation of the plate/stiffener geometric parameters for various concentric and eccentric stiffening configurations.
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References
1.
Asku, G.(1982). “Free vibration analysis of stiffened plates by including the effect of in-plane inertia.”J. Appl. Mech., 49, 206–212.
2.
Harik, I. E., and Guo, M.(1993). “Finite element analysis of eccentrically stiffened plates in free vibration.”Comp. Struct., 49, 1007–1015.
3.
Mahendran, M., and Murray, N. W. (1986). “Elastic buckling analysis of ideal thin-walled structures under combined loading using a finite strip method.”Thin Walled Structures, Vol. 4, 329–362.
4.
Mijusawa, T., Kajita, T., and Navouka, M.(1980). “Buckling of a new plate structure using b-spline functions.”Int. J. Numer. Methods Engrg., 15, 87–96.
5.
Mukherjee, A., and Mukhopadhyay, M.(1989). “Finite element free vibration of eccentrically stiffened plates.”Comp. Struct., 33, 295–305.
6.
Mukhopadhyay, M.(1989). “Vibration and stability of stiffened plates by semi-analytic finite difference method, Parts I and II.”J. Sound Vibration, 130, 41–53.
7.
Mukhopadhyay, M.(1989). “Vibration and stability of stiffened plates by semi-analytic finite difference method, Part II: consideration of bending and axial displacements.”J. Sound and Vibration, 130, 41–53.
8.
Plank, R. J., and Williams, F. W. (1974). “Critical buckling of some stiffened panels in compression, shear and bending.”Aeronautical Quarterly, 165–179.
9.
Rossow, M. P., and Ibrahimkhail, A. K.(1978). “Constraint method analysis of stiffened plates.”Comp. and Struct., 8, 51–60.
10.
Shastry, B. P., Roa, G. V., and Reddy, M. N.(1976). “Stability of stiffened plates using high precision finite elements.”Nuclear Engrg. Des., 36, 91–95.
11.
Stroud, W. J., and Anderson, M. S. (1981). “PASCO: structural analysis and sizing code capability and analytical foundations.”Rep., NASA TM 80181.
12.
Wittrick, W. H.(1968). “A unified approach to the initial buckling of stiffened panels in compression.”Aeronautical Quarterly, 19, 265–283.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Apr 1, 1997
Published in print: Apr 1997
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