Untersuchungen ueber das Gleichgewicht und die Stabilitaet Duennwandiger Doppelringe. Ein Beitrag Zur Loesung Einseitiger Kontaktprobleme (Investigations of the Equilibrium and Stability of Thin-Walled Double Rings. A Contribution

摘要

Equilibrium and stability problems of thin-walled double rings were analyzed as contact problems. The stability was treated according to specifications such as the compression buckling of cylinders under hydrostatic outer pressure. It is found that the inner rings or tubes can become unstable. The load-bearing capacity depends on the amplitude of a perturbation which is always present in real structures between inner and outer wall. The critical load for real perturbations is almost always determined by the elasticity limit or the breaking point, and is within the stable equilibrium domain. For loadings of plastic materials, the critical load can be determined taking into account a plastic joint, and can be compared with the loading obtained by a Cozzone stress analysis; in this calculation a nonlinear stress distribution in the cross section is considered.