TEXAS UNIV AT AUSTIN ENGINEERING MECHANICS RESEARCH LAB
Mathematically exact equations of the deflections required for a circular cylinder to buckle into a developable polyhedral shape are derived. From this equation it is seen that the tangential displacement can be readily related to the radial displacement. The exact formulas for coefficients of a Fourier series representing the radial displacements are derived for a buckled circular cylinder having any longitudinal and circumferential mode numbers. This is in contrast to earlier work in which approximate Fourier coefficients were derived for large values of circumferential mode number. The analytical expressions are derived to study buckling of individual hexagonal cells in paper honeycomb.