An application of the transfer matrix approach for a dynamic analysis of complex spatial pipelines
| Autor: | Andrii Pashchenko, Anatolii Batura, A. I. Novikov, Yaroslav Dubyk |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Coupling
Nuclear and High Energy Physics business.industry Computer science 020209 energy Mechanical Engineering 02 engineering and technology Structural engineering 01 natural sciences Transfer matrix 010305 fluids & plasmas Seismic analysis Stress (mechanics) Vibration Nuclear Energy and Engineering Dynamic loading 0103 physical sciences 0202 electrical engineering electronic engineering information engineering General Materials Science Safety Risk Reliability and Quality business Response spectrum Waste Management and Disposal Beam (structure) |
| Zdroj: | Nuclear Engineering and Design. 349:174-182 |
| ISSN: | 0029-5493 |
| DOI: | 10.1016/j.nucengdes.2019.04.035 |
| Popis: | An effective method for the calculations of stress and residual strength of complex spatial pipelines at static and dynamic loading with taking into account the vibration of internal liquid and Puasson coupling is presented. It based on the well-known transfer matrix approach. The method utilizes the exact mechanical equations for the stress-strained state of straight beam with distributed mass, which connect unknown parameters of forces and displacements at the end of beam calculation element with the parameters at the beginning of the element. At a general level, the solution scheme and calculation models are the same for static and dynamic calculations, the only difference – are the equations. Two different methods are used to find natural vibration frequencies of the distributed mass system: straightforward (“brute force”) and quick, based on Williams-Wittrick frequencies counter. Within such counter a special procedure is developed for taking into account fluid vibration with consideration of volumetric balance condition at T-nozzles. The excellent accuracy of the method is demonstrated by the modeling of thin-walled, water filled pipe behavior after the rod impact. Two seismic analysis procedures are implemented on the base of developed method: standard response spectrum procedure and normal-mode summation procedure (“exact” dynamical), which uses accelerograms. These methods and procedures have been already implemented in calculation software for pipeline strength assessment with the possibility of building of arbitrary complexity models by the user-friendly, visual way. Their effectiveness is demonstrated by the seismic calculation for primary circuit pipings of Zaporizhia NPP. |
| Databáze: | OpenAIRE |
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