ANALYSIS OF THE STRESS-STRAIN STATE OF A PIPELINE WITH A VISCOELASTIC REPAIR BANDAGE ON DIFFERENT OPERATING MODES
DOI:
https://doi.org/10.20535/2305-9001.2015.73.39051Keywords:
pipeline, repair bandage, tension, viscoelasticity, relaxation kernels, Prony series, integral-differential equationAbstract
The following paper shows an analytical study on the stress-strain state of a steel elastic pipeline section with a fiberglass viscoelastic repair bandage. The aim of the study is to develop an approach to adequate mathematical modeling of viscoelasticity, considering conditions of an installation of the bandage on a loaded pipeline and a tension in it. An original method of a formation of an integral-differential equation in terms of displacements, gained from the full system of equations of viscoelasticity theory for the plane axisymmetric orthotropic case in polar coordinates, allows discovering and exploring such phenomena as stress relaxation in the bandage and their growth in the pipeline section. The developed approach also lets solve obtained boundary value problem analytically. The proposed set of boundary and conjugation conditions reflects different repair and operational modes. An analytical model enables to consider and examine an influence of the prestress conditions in the pipe on a stress-strain state kinetics as well as a change of contact stress due to viscoelatic properties of fiberglass and different values of an initial pressureReferences
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