Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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Definition and calculation method of modal effective mass of asymmetric fluid-structure interaction system for seismic analysis

  • Received : 2023.03.09
  • Accepted : 2023.08.04
  • Published : 2023.12.25
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Abstract

In this paper, modal effective mass for asymmetric fluid-structure interaction system is defined and equations for its calculation is derived. To establish consistency, modal effective mass in symmetric structure only system is briefly reviewed, followed by a definition of the modal effective mass in asymmetric system. The equations for calculating modal effective mass in asymmetric system are derived by utilizing the properties of left and right eigenvectors. To simplify the equations, the assumption is made that the mass matrix is only affected by the fluid. The simplified equation is then compared to the equation already used in ANSYS. Finally, the validity of the modal effective mass definition and derivation in this paper is demonstrated through a simple example.

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References

  1. Tae-Wan Kim, et al., Characteristics of dynamic behavior for integral reactor SMART, in: Proceedings of the Korean Nuclear Society Conference, 1999. Korean Nuclear Society.
  2. Jong-beom Park, et al., Seismic analysis of the APR1400 nuclear reactor system using a verified beam element model, Nucl. Eng. Des. 313 (2017) 108-117.
  3. Mitsubishi Heavy Industries, Ltd, Lumped Mass Stick Model of US-APWR Reactor Building Complex, 2011. MUAP-11006 Rev. 0.
  4. American Society of Civil Engineers (ASCE), Seismic analysis of safety-related nuclear structures and commentary, in: ASCE/SEI Standard, vols. 4-16, 2016 (Reston, Virginia).
  5. Regulatory Guide 1.92, Combining Modal Response & Spatial Components in Seismic Response Analysis, October 2012.
  6. J. Wijker, Jaap. Spacecraft Strucrues, Springer Science&Business Media, 2008.
  7. Anil K. Chopra, Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall." Inc., Upper Saddle River, NJ, 1995.
  8. R.G. Dong, Effective Mass and Damping of Submerged Structures. No. UCRL52342, California Univ., Lawrence Livermore Lab., Livermore (USA), 1978.
  9. Ho Chung, Shoei-sheng Chen, Vibration of a group of circular cylinders in a confined fluid, ASME J. Appl. Mech. 44 (1977) 213-217.
  10. S.S. Chen, M.W.T. Wambsganss, J.A. Jendrzejczyk, Added Mass and Damping of a Vibrating Rod in Confined Viscous Fluids, 1976. American Society of Mechanical Engineers.
  11. Shoei-Sheng Chen, Vibration of nuclear fuel bundles, Nucl. Eng. Des. 35 (3) (1975) 399-422.
  12. R.J. Fritz, The effect of liquids on the dynamic motions of immersed solids, ASME J. Eng. Indust. (February, 1972).
  13. Younjin Choi, et al., Application of seismic analysis methodology to small modular integral reactor internals, J. Nucl. Sci. Technol. 52 (2) (2015) 228-240.
  14. Kyeong Hoon Jeong, Jo Jhung Myung, Added mass estimation of square sections coupled with a liquid using finite element method, Nucl. Eng. Technol. 49 (1) (2017) 234-244.
  15. Kyeong Hoon Jeong, Kim Jong-Wook, Hydroelastic vibration analysis of two flexible rectangular plates partially coupled with a liquid, Nucl. Eng. Technol. 41 (3) (2009) 335-346.
  16. Jean-Francois Sigrist, Daniel Broc, Christian Laine, Modal analysis of a nuclear reactor with fluid structure interaction: added mass and added stiffness effects, SMiRT 18 (2005). SMiRT18-K16-4.
  17. ANSYS Manual (18.2) Theory Reference for ANSYS Workbench Products. (ANSYS Inc).
  18. Jean-Francois Sigrist, Stephane Garreau, Dynamic analysis of fluid-structure interaction problems with modal methods using pressure-based fluid finite elements, Finite Elem. Anal. Des. 43 (4) (2007) 287-300.
  19. Je, Sang Yun, Yoon-Suk Chang, Sung-Sik Kang, Dynamic characteristics assessment of reactor vessel internals with fluid-structure interaction, Nucl. Eng. Technol. 49 (7) (2017) 1513-1523.
  20. Jiehao Duan, Changjun Li, Jin Jin, Modal analysis of tubing considering the effect of fluid-structure interaction, Energies 15 (2) (2022) 670.
  21. Jae-Hwan Lee, Ji-Teng Wang, Kothilngam Maring, Fluid-structure interaction (FSI) modal analysis to avoid resonance of cylinder type vertical pump at power plant, Journal of the Society of Naval Architects of Korea 55 (4) (2018) 321-329.