Linearized mathematical model of rubber-cord shell

Abstract

The procedure of linearization of the previously constructed mathematical model of a rubber-cord shell of rotation with elastically deformable cord threads under symmetric loading with internal excessive pressure and axial force is performed. The characteristic specialty of the linearized mathematical model is analyzed, special attention is paid to the correct choice of the unloaded reference configuration, which takes place not at zero excess pressure, but at excess pressure tending to zero. It is noted that the linearized mathematical model is of the greatest practical interest for analytical calculation and design of rubber-cord branch pipes and pneumatic sleeve-type shock absorbers with optimal performance characteristics.