A mathematical model of transverse fluctuations of the pipeline straight section is considered in this article.Such fluctuations occur during the movement of diagnostic piston in the pipeline. The analysis is based on the method of generalized displacements. This method provides setting modes of links with distributed parameters according to the boundary conditions. Diagnostic piston is considered as a solid in the calculation model. The equations of mechanical systems motion are derived by the Lagrange scheme equations of the second kind. As the result, we illustrate the influence of the mechanical system parameters and the speed of the piston on the pipeline section deflections, bending moments and stresses in the pipe.
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