Buckling of Structures: Symposium Cambridge/USA, June 17–21, - download pdf or read online

By W. T. Koiter (auth.), Professor Bernard Budiansky (eds.)

ISBN-10: 3642509924

ISBN-13: 9783642509926

ISBN-10: 3642509940

ISBN-13: 9783642509940

This quantity includes the written texts of the papers awarded at a Symposium on Buckling of constructions held at Harvard college in June 1974. This symposium, among the many on quite a few themes backed each year by way of the foreign Union of Theoretical and utilized Me­ chanics (IUTAM), used to be equipped through a systematic Committee inclusive of B. Budiansky (Chairman), A. H. Chilver, W. T. Koiter, and A. S. Vol'­ mir. Participation was once by means of invitation of the medical Committee, and particular teachers have been invited to talk within the components of experimental study, buckling and post-buckling calculations, post-buckling mode interplay, plasticity and creep results, dynamic buckling, stochastic difficulties, and layout. a complete of 29 lectures have been introduced, together with a basic beginning lecture through Professor Koiter, and there have been ninety three reg­ istered individuals from sixteen varied nations. monetary help for the symposium was once supplied by way of IUTAM, within the type of partial commute help for a couple of contributors, and in addition by way of the nationwide technological know-how beginning, the nationwide Aeronautics and area management, and the Air strength workplace of clinical Re­ seek, for extra go back and forth help and administrative expenditures. assembly amenities and prone have been successfully supplied by means of the technological know-how heart of Harvard college, and administrative aid was once gen­ erously supplied through the department of Engineering and utilized Physics of Harvard college. The clinical chairman loved the priceless guidance of his colleagues Professors J. W. Hutchinson and J. L.

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1) 44 R. H. Gallagher where (2) and similarly for v and w. I N I contains the standard shape functions of a complete cubic corresponding to these degrees-of-freedom. Equation (1) does not permit continuity of the angular displacement across element boundaries and leads to very poor results even for flat plate flexure. To resolve this, Harvey and Kelsey [2] introduce the notion of a constraint condition to "restore" continuity. { = o. (3) Differentiation of the displacement field [Eq. (1)] gives ¢A and ¢B in terms of the joint displacements A.

To clarify this approach, we first note that the interelement continuity conditions on flexure demand a polynomial of such high order in the normal displacement that the approximation of the rigid body motion condition is usually satisfaetory without additional terms. Under Finite Element Representations 43 certain conditions of coupling of the displacement components the insurface displacement components may be required to be of the same order as the normal displacement to meet strict inter-element continuity conditions.

6a-c. 311" biitl = 50 and all plate thicknesses are tl except for the two plates of thickness 2tI shown; crosses denote longitudinal line junctions_ bi is the stiffener pitch, N = (4) will also usually give acceptable accuracy. Thus the four approximations have probably affected the results presented herein very little, although 20°;, errors are possible for exceptionally unfavourable problems [8]. 7. Interaction of Shear and Non-Uniform Compression The results given are for the isotropic panels of Figs.

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Buckling of Structures: Symposium Cambridge/USA, June 17–21, 1974 by W. T. Koiter (auth.), Professor Bernard Budiansky (eds.)

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