Abstract
The finite element analysis (FEA) model of piping systems is commonly used to evaluate structural integrity under seismic conditions. However, after the Great East Japan Earthquake, it became necessary to confirm the strain response under the beyond design basis earthquake (BDBE) condition. In general, solid and shell elements are used to confirm the strain value; however, unlike in the case of the conventional FEA model for confirming elastic response, using these elements can incur additional modeling costs. In this study, an elasto-plastic analysis using a beam element-based model was primarily investigated. Furthermore, to accurately calculate the strain response, the elbow element was used, and the appropriate degree of freedom of sectional deformation was determined using the Fourier expansion number. To determine the appropriate Fourier expansion number in turn, a determination method was used by introducing the flexibility factor, and this was validated by applying the derived value to the actual nuclear power plant surgeline piping system FEA model. As a result, it was concluded that the appropriate Fourier expansion number determined using the flexibility factor is effective in terms of conservatism and accuracy.
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Acknowledgements
This work was supported by the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry & Energy (MOTIE) of the Republic of Korea (No. 20193110100020). In addition, this work was supported by the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry & Energy (MOTIE) of the Republic of Korea (No. 20194030202460).
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ChangKyun Lee is currently an engineer at Samsung Construction & Trading Corporation. He received his master’s degree in Mechanical Engineering from Yonsei University. His research interests include structural vibration, non-linear finite element analysis especially in nuclear power plant piping systems.
Eun-ho Lee is a graduate school student in Mechanical Engineering at Yonsei University. His research interests include structural vibration, impact analysis in canister which contains spent nuclear fuel, non-linear finite element analysis especially in nuclear power plant components and piping systems.
Jinwoo Im is a graduate school student in Mechanical Engineering at Yonsei University. His research interests include impact analysis, non-linear finite element analysis especially in canister which contains spent nuclear fuel.
ChiWoong Ra is a graduate school student in Mechanical Engineering at Yonsei University. His research interests include structural vibration, non-linear finite element analysis especially in nuclear power plant piping systems.
No-Cheol Park received B.S., M.S., and Ph.D. degrees from Yonsei University in 1986, 1988, and 1997, respectively. Dr. Park is currently a Professor at the Department of Mechanical Engineering in Yonsei University. His research interest is in Vibration & Optics.
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Lee, CK., Lee, Eh., Im, J. et al. Determination of Fourier expansion number for elasto-plastic analysis of piping systems using flexibility factor. J Mech Sci Technol 36, 637–646 (2022). https://doi.org/10.1007/s12206-022-0111-0
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DOI: https://doi.org/10.1007/s12206-022-0111-0