@article{Гаджиев_Джафаров_2014, title={Lateral oscillations of a straight section of a two constant based heterogeneous pipeline}, volume={6}, url={https://journals.uran.ua/eejet/article/view/31195}, DOI={10.15587/1729-4061.2014.31195}, abstractNote={<p>The study focuses on the natural oscillation of a straight section of an invariably heterogeneous elastic pipeline lying on a twoconstant base devised by P. L. Pasternak. The elasticity module and the specific density are regarded as a continuous function of the pipeline length coordinate, whereas the continuous function is a function that characterizes heterogeneity of the elasticity module together with its first and second derivatives. Hereby, the equation on the motion-relative deflection is a linear equation with variable coefficients of the fourth order. The problem is solved in a combined way: the first stage involves a variables separation method, whereas the second stage is carried out by the Bubnov-Galerkin orthogonality method. Specific values are calculated in the first approximation; the findings are presented in tables and graphs that illustrate dependencies between the circular frequency and heterogeneity-specifying parameters. The calculation results show a significant impact of heterogeneity upon the value of circular frequency and depend on the law of heterogeneity distribution.</p>}, number={7(72)}, journal={Eastern-European Journal of Enterprise Technologies}, author={Гаджиев, Вагиф Джамал оглы and Джафаров, Хагани Гияс оглы}, year={2014}, month={Dec.}, pages={4–7} }