Kinetoelastostatics of Axisymmetric Nets

Abstract

Intricately interrelated external loads, internal forces and equilibrium shapes of axisymmetric nets are studied. After developing the basic equations in a generic form, the most important particular types of nets are investigated—geodesic, Chebyshev, and orthogonal nets. Closed-form statical-geometric relations are obtained for each type of net and, as a by-product, for a wrinkling axisymmetric membrane. These allow a comprehensive investigation into the equilibrium configurations of the above systems and their evolution in the course of loading. Load combinations studied involved edge loads and normal surface loads such as net-solid contact pressure, pneumatic pressure or pressure induced by an axial gas flow.