Resilient reaction of a pipeline to an internal impact pressure

The theory of dynamic stability of a the pipeline is developed on the basis of the linear bending equation, an assumption that the cross section is normal to the deformed axis of the pipe, the incompressibility of the transported fluid, and the instant establishment of impact pressure along its entire length. The calculation scheme is as follows: a pipe connecting two volumes and a pipe with one closed end and with a piston acting at a fluid at the other end. The relations between the input parameters for determining the dynamic reaction and the stress−strained state of the pipeline under the action of the internal shock wave are presented.