Dynamics of a cylindrical shell with a collapsing elastic base under the action of a pressure wave

Abstract

In the dynamic and quasi-static statements, the issue of non-stationary deformation and stability of the solid propellant rocket engine (SPRE) was approximately solved. It is modeled by a thin, smooth cylindrical shell, inside of which, on a part of its length, there is an elastic base corresponding to a gradually burning powder charge. A pressure wave is moving along the outer surface of the body, simulated by the running load. The deformed state of the shell is considered axisymmetric and is determined on the basis of the moment theory of the shells. For diverse variants of mounting the ends of the shell in a closed form, expressions were obtained for the critical velocity of the load. Examples were considered.

Keywords

• cylindrical shell
• elastic foundation
• Winkler hypothesis
• moving load
• dynamic and quasistatic equationtion of the issue
• critical speeds.
• critical speeds