DYNAMIC ANALYSIS OF PIPELINES BY MEANS OF NORMAL MODE SHAPES TAKING INTO ACCOUNT INTERACTION WITH THE ENVIRONMENT
DOI:
https://doi.org/10.18372/2310-5461.30.10572Keywords:
-structure interaction, water hammer, orthogonality conditions, method of eigenfunction expansionAbstract
The orthogonality conditions of the eigenfunctions or mode shape for the fluid-structure interaction problem is presented. The exact orthogonality conditions are derived, for junction and Poisson coupling. The example of the numerical analysis of classic water hammer in the pipeline due to the sudden valve closure is presented. It is shown that the coupled fluid-structure interaction analysis gives more accurate results in the calculation of pressure surges and displacements.
References
Tijsseling A. S. Fluid-structure interaction in liquid-filled pipe systems: A review // J. Fluids Struct. — 1996. — № 10. — P. 109–146.
Орыняк И. В., Батура А. С., Дубик Я. Р. Применение метода начальных параметров к анализу связанных гидромеханических колебаний трубопроводных систем. Сообщение 2. Собственные частоты и формы связанных гидромеханических колебаний среды, транспортируемой трубопроводами // Проблемы прочности. — 2012. — №1. — С. 14–29.
Orynyak I. V., Radchenko S. A., Dubyk I. R. Application of the Transfer Matrix Method to the Analysis of Hydro-mechanical Vibration of NPP Piping. // ASME 2013 Pressure Vessels & Piping Confer-ence (PVP 2013), July 14–18, 2013 Paris, France. PVP2013-97676.
Tijsseling A. S., C.S.W.Lavooij Waterhammer with fluid-structure interaction Applied Scientific Re-search 47: 273-285, 1990.
Тимошенко С. П. Колебания в инженерном деле / С. П. Тимошенко, Д. Х. Янг, Уивер У. — М. : Машиностроение, 1985. — 472 с.
Zhang L. Tijsseling A. S., Vardy A. E. FSI analysis of liquid-filled pipes Journal of Sound and Vibration (1999) 224(1). — Р. 69–99.
