Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-24T21:50:25.338Z Has data issue: false hasContentIssue false
  • English
  • Français

Critical Buckling of Some Stiffened Panels in Compression, Shear and Bending

Published online by Cambridge University Press:  07 June 2016

R J Plank  and
F W Williams
R J Plank
Affiliation:
Department of Civil Engineering, University of Birmingham
F W Williams
Affiliation:
Department of Civil Engineering, University of Birmingham
Get access

Summary

Previous papers by the authors and others have developed exact methods for computing the critical buckling loads of prismatic assemblies of rigidly interconnected thin flat rectangular plates. The plates may be isotropic or anisotropic and can carry uniform in-plane shear stresses and transverse stresses in addition to a longitudinal stress which varies linearly over the cross section but is longitudinally invariant. Published results obtained using these methods have only covered a few of the types of structure and loading which are of interest. This paper presents results which complement those already published. For instance, interaction curves are given for common types of panel in combined in-plane shear and longitudinal compression and bending. About half of these curves are nearly parabolic while some others differ greatly from the parabola, which errs on the safe side for all the results presented. Other results cover critical loads other than the lowest, panels with bulb flat stiffeners, as used for bridge decks, and the effects of assumptions usually made when idealising real panels before computation.

Type
Research Article
Information
Aeronautical Quarterly , Volume 25 , Issue 3 , August 1974 , pp. 165 - 179
Copyright
Copyright © Royal Aeronautical Society. 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Wittrick, W H, A unified approach to the initial buckling of stiffened panels in compression. Aeronautical Quarterly, Vol XIX, pp 265–283, 1968.Google Scholar
2 Wittrick, W H, General sinusoidal stiffness matrices for buckling and vibration analyses of thin flat-walled structures. International Journal of Mechanical Sciences, Vol 10, pp 949–966, 1968.Google Scholar
3 Viswanathan, A V, Soong, Tsai-chen, Miller, R E Jr Buckling analysis for structural sections and stiffened plates reinforced with laminated composites. International Journal of Solids and Structures, Vol 8, pp 347–367, 1972.CrossRefGoogle Scholar
4 Smith, C S, Bending, buckling and vibration of orthotropic plate-beam structures. Journal of Ship Research, Vol 12, pp 249–268, 1968.CrossRefGoogle Scholar
5 Williams, F W, Computation of natural frequencies and initial buckling stresses of prismatic plate assemblies. Journal of Sound and Vibration, Vol 21, pp 87–106, 1972.Google Scholar
6 Viswanathan, A V, Tamekuni, M, Tripp, L L, Elastic stability of biaxially loaded longitudinally stiffened composite structures. AIAA Journal, Vol 11, pp 1553–1559, 1973.Google Scholar
7 Wittrick, W H, Williams, F W, Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings. International Journal of Mechanical Sciences, Vol 16, pp 209–239, 1974.Google Scholar
8 Viswanathan, A V, Tamekuni, M, Baker, L L, Elastic stability of laminated, flat and curved, long rectangular plates subjected to combined inplane loads. NASA-CR-2330, 1973.Google Scholar
9 Turvey, G J, Wittrick, W H, The influence of orthotropy on the stability of some multi-plate structures in compression. Aeronautical Quarterly, Vol XXIV, pp 1–8, 1973.Google Scholar
10 Cheung, MS, Cheung, Y K, Natural vibrations of thin, flat-walled structures with different boundary conditions. Journal of Sound and Vibration, Vol 18, pp 325–337, 1971.Google Scholar
11 Plank, R J, Wittrick, W H, Buckling under combined loading of thin, flat-walled structures by a complex finite strip method. International Journal for Numerical Methods in Engineering, Vol 8, p 323, 1974.CrossRefGoogle Scholar
12 Wittrick, W H, Williams, F W, A general algorithm for computing natural frequencies of elastic structures. Quarterly Journal of Mechanics and Applied Mathematics, Vol XXIV, pp 263–284, 1971.Google Scholar
13 Wittrick, W H, Williams, F W, An algorithm for computing critical buckling loads of elastic structures. Journal of Structural Mechanics, Vol 1, pp 497–518, 1973.CrossRefGoogle Scholar
14 Smith, C S, Structural problems in the design of GRP ships. Symposium on GRP Ship Construction, The Royal Institution of Naval Architects, October 1972.Google Scholar
15 Smith, C S, Buckling problems in the design of fibreglass-reinforced plastic ships. Journal of Ship Research, Vol 16, pp 174–190, 1972.Google Scholar
16 Wittrick, W H, Williams, F W, Initial buckling of channels in compression. Proceedings of the American Society of Civil Engineers, Vol 97, No EM3, pp 711–726, 1971.Google Scholar
17 Williams, F W, Wittrick, W H, Numerical results for the initial buckling of some stiffened panels in compression. Aeronautical Quarterly, Vol XXIII, pp 24–40, 1972.Google Scholar
18 Williams, F W, Initial buckling curves for a simply supported plate with a vee-shaped corrugation. Civil Engineering and Public Works Review, Vol 67, pp 239–242, 1972.Google Scholar
19 Williams, F W, Stiffened panels with varying stiffener sizes. Journal of the Royal Aeronautical Society, Vol 77, pp 350–354, 1973.Google Scholar
20 Viswanathan, A V, Soong, T C, Miller, R E Jr Compressive buckling analysis and design of stiffened flat plates with multilayered composite reinforcement. Computers and Structures, Vol 3, pp 281–297, 1973.CrossRefGoogle Scholar
21 Wittrick, W H, Curzon, P L V, Stability functions for the local buckling of thin flat-walled structures with the walls in combined shear and compression. Aeronautical Quarterly, Vol XIX, pp 327–351, 1968.Google Scholar
22 Wittrick, W H, Curzon, P L V, Nodal lines for long plates in combined shear and compression with sinusoidal edge rotations. Aeronautical Quarterly, Vol XX, pp 1–16, 1969.CrossRefGoogle Scholar
23 Wittrick, W H, Curzon, P L V, Buckling of a long flat panel with a series of equidistant longitudinal supports in combined longitudinal compression and shear. Aeronautical Quarterly, Vol XX, pp 17–24, 1969.CrossRefGoogle Scholar
24 Wittrick, W H, Curzon, P L V, Local buckling of long polygonal tubes in combined compression and torsion. International Journal of Mechanical Sciences, Vol 10, pp 849–857, 1968.Google Scholar
25 Przemieniecki, J S, Matrix analysis of local instability in plates, stiffened panels and columns. International Journal for Numerical Methods in Engineering, Vol 5, pp 209–216, 1972.CrossRefGoogle Scholar
26 Przemieniecki, J S, Finite element structural analysis of local instability. AIAA Journal, Vol 11, pp 33–39, 1973.Google Scholar
27 Graves-Smith, T R, The local buckling of box girders under bending stresses. International Journal of Mechanical Sciences, Vol 11, pp 603–612, 1969.Google Scholar
28 Gellert, M, Stability analysis of bulb flat stiffeners in compression by means of finite Wittrick, W H, prisms. (In publication.)Google Scholar
29 Viswanathan, A V, Tamekuni, M, Elastic buckling analysis for composite stiffened panels and other structures subjected to biaxial inplane loads. NASA-CR-2216, 1973.Google Scholar