Buckling and Vibration Analysis of Laminated Panels Using VICONOPT
Publication: Journal of Aerospace Engineering
Volume 7, Issue 3
Abstract
The analysis aspects of the 23,000‐line FORTRAN program VICONOPT are described. Overall stiffness matrices assembled from the earlier exact VIPASA flat plate stiffnesses are optionally coupled by Lagrangian multipliers to find critical buckling loads, or natural frequencies of undamped vibration, of prismatic assemblies of anisotropic flat plates with arbitrarily located point supports or simple transverse supporting frames. The longitudinal continuity of typical wing and fuselage panels is closely approximated because the solutions are for the infinitely long structure obtained by repeating a bay and its supports longitudinally. Any longitudinally invariant in‐plane plate stresses are permitted, and very rapid solutions are guaranteed by numerous refinements, including multilevel substructuring and a method for repetitive cross sections that is exact for regular polygons used to represent cylinders. Modal displacements and stresses in or between plies of laminated plates are calculated and plotted, with values being recovered at all nodes of substructures. Comparison with usual approximate finite‐element methods confirms that, for comparably converged solutions, VICONOPT is typically between 100 and 104 times faster.
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References
1.
Almroth, B. O., Brogan, F. A., and Stanley, G. M. (1982). “Structural analysis of general shells, Vol. II: user instructions for STAGSC‐1.” Rep. LMSC‐D633873, Lockheed Palo Alto Research Laboratory, Palo Alto, Calif.
2.
Anderson, M. S., Hennessy, K. W., and Heard, W. L. Jr. (1976). “Addendum to users guide to VIPASA (vibration and instability of plate assemblies including shear and anisotropy).” NASA TM X‐73914, National Aeronautics and Space Administration (NASA), Washington, D.C.
3.
Anderson, M. S., and Stroud, W. J. (1981). “PASCO: structural panel analysis and sizing code; user's manual.” NASA TM‐80182, National Aeronautics and Space Administration (NASA), Washington, D.C.
4.
Anderson, M. S., Williams, F. W., and Wright, C. J. (1983). “Buckling and vibration of any prismatic assembly of shear and compression loaded anisotropic plates with an arbitrary supporting structure.” Int. J. of Mech. Sci., 25(8), 585–596.
5.
Butler, R., and Williams, F. W. (1990). “Optimum design features of VICONOPT, an exact buckling program for prismatic assemblies of anisotropic plates.” Proc., 31st AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dynamics and Mat. Conf., ASCE, New York, N.Y., 1289–1299.
6.
Kennedy, D., and Williams, F. W. (1990). “Vibration and buckling of anisotropic plate assemblies with Winkler foundations.” J. Sound and Vibration, 138(3), 501–510.
7.
Stroud, W. J., Greene, W. H., and Anderson, M. S. (1984). “Buckling loads of stiffened panels subjected to combined longitudinal compression and shear: results obtained with PASCO, EAL and STAGS computer programs.” NASA TP‐2215, National Aeronautics and Space Administration (NASA), Washington, D.C.
8.
Williams, F. W. (1972). “Computation of natural frequencies and initial buckling stresses of prismatic plate assemblies.” J. Sound and Vibration, 21(1), 87–106.
9.
Williams, F. W., and Anderson, M. E. (1973). “User's guide to VIPASA (vibration and instability of plate assemblies including shear and anisotropy).” Rep., Department of Civil Engineering, University of Birmingham, Birmingham, England.
10.
Williams, F. W., and Anderson, M. S. (1983). “Incorporation of Lagrangian multipliers into an algorithm for finding exact natural frequencies or critical buckling loads.” Int. J. Mech. Sci., 25(8), 579–584.
11.
Williams, F. W., and Anderson, M. S. (1985). “Buckling and vibration analysis of shear‐loaded prismatic plate assemblies with supporting structures, utilizing symmetric or repetitive cross‐sections.” Aspects of the analysis of plate structures—a volume in honour of W. H. Wittrick, D. J. Dawe, R. W. Horsington, A. G. Kamtekar, and G. H. Little, eds., Oxford University Press, Oxford, England, 51–71.
12.
Williams, F. W., Anderson, M. S., Kennedy, D., Butler, R., and Aston, G. (1990a). User manual for VICONOPT; NASA CR‐181966, National Aeronautics and Space Administration (NASA), Washington, D.C.
13.
Williams, F. W., and Kennedy, D. (1988). “Reliable use of determinants to solve non‐linear structural eigenvalue problems efficiently.” Int. J. for Numerical Methods in Engrg., 26(8), 1825–1841.
14.
Williams, F. W., Kennedy, D., and Anderson, M. S. (1990b). “Analysis features of VICONOPT, an exact buckling and vibration program for prismatic assemblies of anisotropic plates.” Proc., 31st AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dynamics and Mat. Conf., ASCE, New York, N.Y., 920–929.
15.
Williams, F. W., and Wittrick, W. H. (1983). “Exact buckling and frequency calculations surveyed.” J. Struct. Engrg., ASCE, 109(1), 169–187.
16.
Williams, F. W., and Wright, C. J. (1978). “A compact computer program for calculating buckling stresses and natural frequencies of vibration of prismatic plate assemblies.” Int. J. Numerical methods in Engrg., 12(9), 1429–1456.
17.
Wittrick, W. H., and Williams, F. W. (1971). “A general algorithm for computing natural frequencies of elastic structures.” Quarterly J. Mech. and Appl. Mathematics, 24(3), 263–284.
18.
Wittrick, W. H., and Williams, F. W. (1973). “An algorithm for computing critical buckling loads of elastic structures.” J. Struct. Mech., 1(4), 497–518.
19.
Wittrick, W. H., and Williams, F. W. (1974). “Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings.” Int. J. of Mech. Sci., 16(4), 209–239.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 7 • Issue 3 • July 1994
Pages: 245 - 262
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Apr 9, 1991
Published online: Jul 1, 1994
Published in print: Jul 1994
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