Thin-walled cylinders of various constructions are widely used in simple or complex structural configurations. The round cylinder is commonly found in tubing and piping, and in offshore platforms. Depending on their use, these cylinders are subjected (in service) to individual and combined application of external loads. In resisting these loads the system is subject to buckling, a failure mode which is closely associated with the establishment of its load-carrying capacity. Therefore, the system buckling and postbuckling behavior have been the subject of many researchers and investigators both analytical and experimental. The paper is a state-of-the-art survey of the general area of buckling and postbuckling of thin-walled, geometrically imperfect, cylinders of various constructions, when subjected to destabilizing loads. The survey includes discussion of imperfection sensitivity and of the effect of various defects on the critical conditions.

Buckling and Postbuckling of Imperfect Cylindrical Shells: A Review

Theoretical analyses are presented for nonlinear vibrations of a clamped rectangular plate under a uniformly distributed periodic load, with the effect of both initial deflection and initial edge displacement taken into consideration The dynamic analog of the Marguerre equations is used and the steady-state solutions are obtained by first applying the Galerkin method and then the harmonic balance method Actual calculations are carried out for the square plate under the assumption of the three degrees-of-freedom system and the frequency response characteristics and typical waveforms are determined under various initial edge displacements including initially buckled cases Effects of both initial deflection and initial edge displacement on the static deflection as well as the lower natural frequencies are also clarified

Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement— Part II: Experiment

Non-linear vibrations of a clamped circular plate with initial deflection and initial edge displacement, part I: Theory

Analysis of dynamic instability for arbitrarily laminated skew plates

The postbuckling behavior of a simply supported rectangular thick plate subjected to arbitrary loading conditions is investigated. The applied stress is taken to be a combination of a pure bending stress plus an extensional stress in the plane of the plate. Governing equations based on von Karman assumptions are used to solve the postbuckling problem by the Galerkin method. Buckling loads are obtained to compare with the results of Brunelle and Robertson. Postbuckled deflection is shown to increase with the transverse isotropic coefficient 5, and the effects of the in-plane bending stress are found to be quite significant for a thick plate.

Postbuckling behavior of a thick plate

Using the governing dynamic equations for the large amplitude flexural vibration of orthotropic skew plates in the Berger formulation, solutions are obtained on the basis of a one term vibration mode and they are discussed for two types of in-plane edge conditions and for different skew angles and orthotropy. The results obtained are compared with those got without making use of the approximate formulation due to Berger. In all these cases it is found that the nonlinearity is of the hardening type, i.e., the period of nonlinear vibration decreases with increasing amplitude.

K. A. V. Pandalai

Papers

Large amplitude flexural vibration of simply supported skew plates.

Postbuckling Behavior of Orthotropic Skew Plates