doi:
UDK: 629.12:539.433

MODEL AND ALGORITHM FOR CALCULATING PIPELINE VIBRATION PARAMETERS BY PARTIAL RESPONSE METHOD

Мелконян А. Л., Яремчук С. А.
Article language: English

Annotation

The presented work reflects the further development of the approaches used by the authors in previous articles devoted to the development of a mathematical model and algorithm for calculating the vibration parameters of a pipeline when an ideal fluid moves through it. Unlike previous models, the developed model makes it possible to obtain vibration parameters without organizing the process of successive approximations, which significantly reduces the complexity and time of calculations. The noted advantages are especially evident at fluid speeds close to critical. It turned out to be possible to obtain a new solution, since it was possible to write down expressions for the inertia forces of the relative motion of model elements through the angles between their longitudinal axes. This circumstance made it possible to modify the previously used model by introducing additional elements into its composition, which automatically generate an additional load for the model elements, corresponding to the inertial forces of relative motion. As before, the calculation algorithm is based on the partial response method in its discrete version. For the modified model, a set of dependencies was derived that reflect changes in partial responses and partial parameters. Keywords: quasi-one-dimensional finite element model, quasi-static analogy, complex parameter method, partial responses and parameters.

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