Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T20:59:01.801Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on a Non-Linear Theory on Bending of Orthotropic Sandwich Plates

Published online by Cambridge University Press:  07 June 2016

Charles E. S. Ueng  and
Y. J. Lin
Charles E. S. Ueng
Affiliation:
Georgia Institute of Technology
Y. J. Lin
Affiliation:
Georgia Institute of Technology
Get access

Summary

The derivation of a non-linear theory on bending of orthotropic sandwich plates is carried out by the principle of complementary energy from elasticity. The governing differential equations and natural boundary conditions are obtained. The assumptions used are, namely, the facings are orthotropic thin elastic plates with negligible bending rigidities and are made of the same material; the orthotropic core can take the transverse shear only; and the transverse shortening of the core may be ignored. The geometrical non-linearities are equivalent to von Kármán’s theory for single-layered plates. Through the introduction of a “shear function”, the number of differential equations is reduced to three and the equations are in rather simple form. It appears that the equations obtained here would require, comparatively, the least amount of work for analysing the finite deflection sandwich plate problems having a wide range of properties of practical interest.

Type
Research Article
Information
Aeronautical Quarterly , Volume 19 , Issue 2 , May 1968 , pp. 127 - 134
Copyright
Copyright © Royal Aeronautical Society. 1968

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. Reissner, E. Finite deflection of sandwich plates. Journal of the Aeronautical Sciences, Vol. 15, pp. 435-440, 1948.Google Scholar
2. Reissner, E. Errata of Reference 1. Journal of the Aeronautical Sciences, Vol. 17, p. 125, 1950.Google Scholar
3. Ebcioglu, I. K. On the theory of sandwich panels in the reference state. International Journal of Engineering Science, Vol. 2, pp. 549-564, 1965.CrossRefGoogle Scholar
4. Wempner, G. A. and Baylor, J. L. General theory of sandwich plates with dissimilar facings. International Journal of Solids and Structures, Vol. 1, pp. 157-177, 1965.CrossRefGoogle Scholar
5. Grigoljuk, E. I. and Chulkov, P. P. General large-deflection theory of elastic sandwich shallow shells. Archiwum Mechaniki Stosowanej, Vol. 16, pp. 123-133, 1964.Google Scholar
6. Kovarik, V. Finite-deflection theory of sandwich plates. Archiwum Mechaniki Stosowanej, Vol. 17, pp. 563-576, 1965.Google Scholar
7. Wang, C. T. Principle and application of complementary energy methods for thin homogeneous and sandwich plates and shells with finite deflections. NACA TN 2620, 1952.Google Scholar
8. Cheng, S. On the theory of bending of sandwich plates. Proceedings of the Fourth US National Congress of Applied Mechanics, pp. 511-518, 1962.Google Scholar