The range of frequencies for flexural vibrations of a pipeline
This paper investigates the flexural vibrations of the pipeline, on the ground sagging banks or ravines. Taken into account the influence of internal pressure in the pipe to these fluctuations. Static bending is determined by the weight of the pipe and the transported medium. The rate of fluid flow is not considered. It is assumed that part of the pipeline on either side of the sagging portion embedded in the ground with the same properties. Influence of soil is modeled distributed system of springs with a certain rigidity in the longitudinal and transverse directions of the pipeline. The frequency spectrum is determined according to the fluid pressure connected soil mass soil stiffness. Calculation scheme considered valid not only in case of the pipeline and the ground, but in the case of pipe-container designs where more pliable continuous medium reduces the stress concentration at the site of the pipeline connection to the container wall. It is shown that with increasing rigidity of the soil, the frequency of oscillations of the pipeline increases, and the faster, the less the mass of the soil is attached. It is obtained that the natural vibration frequencies of the central part of the pipeline do not depend on the relative rigidity and the attached ground mass.