Buckling under combined loading of thin, flat-walled structures by a complex finite strip method

✍ Scribed by R. J. Plank; W. H. Wittrick

• Publisher: John Wiley and Sons
• Year: 1974
• Tongue: English
• Weight: 739 KB
• Volume: 8
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620080211

✦ Synopsis

Abstract

A finite strip method is presented for determining the initial buckling stresses of any structure consisting of a series of thin flat isotropic plates rigidly connected together at their longitudinal edges. Each plate may be subjected to a combination of longitudinal and transverse compression, longitudinal in‐plane bending, and shear, and it is assumed that the buckling mode, of whatever type, is sinusoidal in the longitudinal direction. Due to the presence of shear, the perturbation forces and displacements which occur at the edges of component plates during buckling are out of phase, and this is accounted for by defining their magnitudes in terms of complex quantities. Stiffness matrices relating the amplitudes of these forces and displacements are derived using an approximate method based upon assumed displacement functions across the width of the plate. It is shown how the method can be used to calculate natural frequencies of prismatic structures, and finally an indication of the accuracy of the method is given together with some illustrative results.