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Extracting Modal Parameters of a Layered Stone Pagoda Using TDD Technique

TDD 기법을 이용한 적층식 석탑의 동특성 추출

  • Received : 2015.02.24
  • Accepted : 2015.03.20
  • Published : 2015.05.01

Abstract

This work introduces a modal testing and analysis results of the mock-up for a layered stone pagoda. The pagoda has been horizontally excited by an impact hammer. As to the measured acceleration time responses, the first five lower mode shapes and natural frequency are extracted by the TDD technique. It is observed that the time delay of a shear wave occurs through friction surfaces. Such phenomena cannot be described by using the traditional analytical models such as a continuum cantilever beam model or a discrete shear building model. However, the time delay typically affects only the phases of the pagoda system. The frequencies of the pagoda system are not affected by such time delay. It is found in the first time that the layered stone pagoda system has a set of closely placed modes in near of natural frequency. It is believed that such modes are due to the friction characteristics in friction surfaces. Based on the stick-slip friction model, it seems that the one of the closely placed mode can be a self-excited one.

Keywords

References

  1. Lee S, Park H, Kim S, Lee S. Change of Dynamic Characteristics of Stone Masonry Structures According to Number of Layers of Granite Brick. Journal of Architectural Institute of Korea. 2001;17(6):3-10.
  2. Park Y, Back Y, Kwon G, Lee S, Lee S. A experimental study on natural frequency of ancient stone arch bridge. Proceedings of the Architectural Institute of Korea Conference. 2000;20(1):35-38.
  3. Lee JH, Park HK, Lee SM, Lee SG. A Experimental Study on Natural Frequency of Ancient Castle Wall. Proceedings of the Architectural Institute of Korea Conference. 1999;19(2):625-630.
  4. Lee SM, Lee KH, Park SW, Suh MC, Lee CH. Computational Modelling Method by Using the Natural Frequencies of Five-Story Pagoda in Chongnimsa Site. Journal of the Korean Association for Spatial Structures. 2008;8(5):67-74.
  5. Lee SM, Son HW, Lee SG. Stiffness and Natural Frequency of Stone Masonry Pagoda. Journal of the Korea Institute for Structural Maintenance Inspection. 2004;8(3):263-270.
  6. Kim DM, Hong SI, Shin HB. Structural Behavior of Masonry Stone Pagoda under the Lateral Load according to Internal Jeoksim Type. Proceedings of the Architectural Institute of Korea Conference. 2011;31(2):67-68.
  7. Kim JK, Ryu H. Seismic test of a full-scale model of a five-storey stone pagoda. Earthquake Engng Struct. Dyn. 2003;32:731-750. https://doi.org/10.1002/eqe.246
  8. Kim BH, Park T, Stubbs N. A New Method to Extract Modal Parameters Using Output-Only Responses. Journal of Sound and Vibration. 2005;282:215-230. https://doi.org/10.1016/j.jsv.2004.02.026
  9. Juang JN. Applied System Identification. Prentice-Hall. Englewood Cliffs, NJ. c1994.
  10. Brinker R, Zhang L, Anderson P. Modal identification of outputonly systems using frequency domain decomposition. Smart Materials and Structures. 2001;10:441-445. https://doi.org/10.1088/0964-1726/10/3/303
  11. Farrar CR James IIIGH. System Identification from Ambient Vibration Measurements on Bridge. Journal of Sound and Vibration. 1997;205:1-18. https://doi.org/10.1006/jsvi.1997.0977
  12. Kim BH, Lee J, Lee DH. Extracting modal parameters of high-speed railway bridge using the TDD technique. Mechanical Systems and Signal Processing. 2010;24:707-720. https://doi.org/10.1016/j.ymssp.2009.11.010
  13. El-Raheb M. Dynamics of a gravity stonewall. International journal of Solid and Structures. 2010;47:1196-1208. https://doi.org/10.1016/j.ijsolstr.2010.01.008
  14. Dahl P, A Solid friction model, Report No. TOR-0158(3107-18)-1, The Aerospace Corp., El-Segundo, Calif. c1968.
  15. Bengisu MT, Akay A. Stick-slip oscillations: Dynamics of friction and surface roughness. J. Acoust. Soc. Am. 1999;105(1):194-205. https://doi.org/10.1121/1.424580
  16. Hinrichs N, Oestreich M, Popp K. Dynamics of Oscillators with Impact and Friction Chaos, solutions & Fractals. 1997;8(4):535-558. https://doi.org/10.1016/S0960-0779(96)00121-X

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  1. Distinct Element Modelling of Stacked Stone Pagoda for Seismic Response Analysis vol.22, pp.6, 2018, https://doi.org/10.5000/EESK.2018.22.6.345