A First Approximation Theory to the Effects of Transverse Shear Deformations on the Buckling and Vibration of Fiber-Reinforced Circular Cylindrical Shells-Application to Axial Compression Loading of Boron-and Glass-Epoxy Composites

摘要

The effects of transverse shear deformations upon the classical buckling load of fiber-reinforced cylindrical shells under uniform axial compression have been analyzed. A stability determinant which upon evaluation yields an expression for the buckling load has been developed using a modified form of the Reissner variational principle. The buckling loads predicted by the stability determinant, with transverse shear effects neglected, have been calculated and shown to agree with previously published results for boron-epoxy and glass-epoxy cylinders. Inclusion of the transverse shear effects in the two cases investigated shows little reduction in the classical buckling loads. For general application, charts are presented to give stability criteria for fiber-reinforced composites as a function of the geometric and mechanical properties. Effective transverse shear rigidities, established by experiment, must be developed in order to realistically estimate the reduction in buckling load from the charts presented. For the determination of natural frequencies of fiber-reinforced shells, with transverse shear effects included, a frequency equation in determinant form is presented. (Author)