Abstract
Traditionally, in the codes for seismic performance evaluation of pile-supported structures (PSS), the piles are modeled using either a virtual fixed-point (VFP) method or a soil spring method, which can additionally simulate soil-pile interactions. The applicability and accuracy of the VFP method, which is originated from statically loaded piles, to evaluate piles under seismic loads has not been sufficiently explored, despite the popularity of the technique. Thus, this study evaluates the applicability of the VFP in the seismic design of PSS through pseudo-static and response spectrum analyses (RSA). Our results indicated that there was a significant difference in between the experimentally derived and VFP model-derived values for the natural period, acceleration, and moment response of the structure. This difference occurs because the soil-pile interaction is simulated through the fixed end in the VFP model.
Similar content being viewed by others
Abbreviations
- a :
-
Horizontal acceleration of the upper plate
- C a :
-
Dimensionless seismic coefficient
- D :
-
Pile diameter
- EI :
-
Bending stiffness of the pile
- F :
-
Inertial force of the structure
- g :
-
Gravitational acceleration
- h :
-
Thickness of each soil layer within the soil spring model
- I :
-
Importance coefficient according to the importance of the structure
- k :
-
Stiffness of the elastic soil spring
- K h :
-
Coefficient of the horizontal subgrade reaction
- N :
-
Average N-value of the ground
- n h :
-
Constant of the horizontal subgrade reaction
- W :
-
Weight of the structure
- z :
-
Depth of the soil spring under the virtual ground surface
- 1/β :
-
Distance of the VFP below the ground surface
References
API (2000) Recommended practice for planning, designing, and constructing fixed offshore platforms — Working stress design. American Petroleum Institute (API), Houston, USA
ASCE (2014) Seismic design of piers and wharves. ASCE/COPRI Standard 61-14, American Society of Civil Engineering, Reston, VA, USA
Boulanger RW, Curras CJ, Kutter BL, Wilson DW, Abghari A (1999) Seismic soil-pile-structure interaction experiments and analyses. Journal of Geotechnical and Geoenvironmental Engineering 125(9): 750–759, DOI: https://doi.org/10.1061/(asce)1090-0241(1999)125:9(750)
Casarotti C, Pinho R (2007) An adaptive capacity spectrum method for assessment of bridges subjected to earthquake action. Bulletin of Earthquake Engineering 5(3):377–390, DOI: https://doi.org/10.1007/s10518-007-9031-8
CEN (European Committee for Standardization) (2005) Eurocode 8 — Design of structures for earthquake resistance, Part 2: Bridges. European Committee for Standardization, Brussels, Belgium
Doran B, Shen J, Akbas B (2015) Seismic evaluation of existing wharf structures subjected to earthquake excitation: Case study. Earthquake Spectra 31(2):1177–1194, DOI: https://doi.org/10.1193/021713eqs035m
Gazetas G, Garini E, Zafeirakos A (2016) Seismic analysis of tall anchored sheet-pile walls. Soil Dynamics and Earthquake Engineering 91:209–221, DOI: https://doi.org/10.1016/j.soildyn.2016.09.031
Gerolymos N, Gazetas G (2005) Phenomenological model applied to inelastic response of soil-pile interaction systems. Soils and Foundations 45(4):119–132, DOI: https://doi.org/10.3208/sandf.45.4_119
Katsumata M, Fukunaga Y, Takenobu M, Miyata M, Kohama E (2018) A study of a method of calculating seismic coefficients of open-type wharves on vertically pile considering the nonlinearity of soil stiffness accompanying earthquake ground motion. Technical Note of National Institute for Land and Infrastructure Management (in Japanese)
Kim DS, Kim NR, Choo YW, Cho GC (2013) A newly developed state-of-the-art geotechnical centrifuge in Korea. KSCE Journal of Civil Engineering 17(1):77–84, DOI: https://doi.org/10.1007/s12205-013-1350-5
Kiureghian AD (1981) A response spectrum method for random vibration analysis of MDF systems. Earthquake Engineering & Structural Dynamics 9(5):419–435, DOI: https://doi.org/10.1002/eqe.4290090503
Laurendeau A, Cotton F, Ktenidou OJ, Bonilla LF, Hollender F (2013) Rock and stiff-soil site amplification: Dependency on VS30 and kappa (κ 0). Bulletin of the Seismological Society of America 103(6):3131–3148, DOI: https://doi.org/10.1785/0120130020
Lee SH, Choo YW, Kim DS (2013) Performance of an equivalent shear beam (ESB) model container for dynamic geotechnical centrifuge tests. Soil Dynamics and Earthquake Engineering 44:102–114, DOI: https://doi.org/10.1016/j.soildyn.2012.09.008
Lombardi D, Bhattacharya S (2014) Modal analysis of pile-supported structures during seismic liquefaction. Earthquake Engineering & Structural Dynamics 43(1):119–138, DOI: https://doi.org/10.1002/eqe.2336
Lombardi D, Bhattacharya S (2016) Evaluation of seismic performance of pile-supported models in liquefiable soils. Earthquake Engineering & Structural Dynamics 45(6):1019–1038, DOI: https://doi.org/10.1002/eqe.2716
McCullough NJ, Dickenson SE, Schlechter SM, Boland JC (2007) Centrifuge seismic modeling of pile-supported wharves. Geotechnical Testing Journal 30(5):349–359, DOI: https://doi.org/10.1520/gtj14066
Meyerhof GG (1956) Penetration tests and bearing capacity of cohesionless soils. Journal of the Soil Mechanics and Foundations Division 82(1):1–19, DOI: https://doi.org/10.1061/jsfeaq.0000001
MIDAS FEA (2016) Analysis and algorithm manual. Midas FEA, Seongnam, Korea
MOF (1999) Seismic design standards of harbour and port. Ministry of Oceans and Fisheries (MOF), Sejong, Korea (in Korean)
MOF (2014) Design standards of harbour and port. Ministry of Oceans and Fisheries (MOF), Sejong, Korea (in Korean)
MOLIT (2018) Seismic design standards of foundation. Ministry of Land, Infrastructure and Transport (MOLIT), Sejong, Korea (in Korean)
Nguyen BN, Tran NX, Han JT, Kim SR (2018) Evaluation of the dynamic p–yp loops of pile-supported structures on sloping ground. Bulletin of Earthquake Engineering 16(12):5821–5842, DOI: https://doi.org/10.1007/s10518-018-0428-3
Ovesen NK (1979) The scaling law relationship-panel discussion. Proceedings of 7th European conference on soil mechanics and foundation engineering, September 1, Brighton, UK, 319–323
PARI (Port and Airport Research Institute) (2009) Technical standards and commentaries for port and harbour facilities in Japan. Overseas Coastal Area Development Institute of Japan, Tokyo, Japan
PIANC MarCom Working Group 34 (2001) Seismic design guidelines for port structures. Swets and Zeitlinger, Lisse, Netherlands
Sano T (1916) Earthquake resistant structure theory of house. Earthquake Prevention Investigation Report (in Japanese)
Schofield AN (1981) Dynamic and earthquake geotechnical centrifuge modelling. Proceedings of First international conference on recent advances in geotechnical earthquake engineering and soil dynamics, april 26–May 3, St. Louis, MO, USA
Shafieezadeh A, DesRoches R, Rix GJ, Werner SD (2013) Three-dimensional wharf response to far-field and impulsive near-field ground motions in liquefiable soils. Journal of Structural Engineering 139(8):1395–1407, DOI: https://doi.org/10.1061/(asce)st.1943-541x.0000642
Su L, Dong SL, Kato S (2006) A new average response spectrum method for linear response analysis of structures to spatial earthquake ground motions. Engineering Structures 28(13):1835–1842, DOI: https://doi.org/10.1016/j.engstruct.2006.03.009
Su L, Lu J, Elgamal A, Arulmoli AK (2017) Seismic performance of a pile-supported wharf: Three-dimensional finite element simulation. Soil Dynamics and Earthquake Engineering 95:167–179, DOI: https://doi.org/10.1016/j.soildyn.2017.01.009
Taghavi S, Miranda E (2010) Response spectrum method for estimation of peak floor acceleration demand. Proceedings of the 14th world conference on earthquake engineering (14WCEE), October 12–17, Beijing, China, DOI: https://doi.org/10.1061/41084(364)58
Taylor RN (1994) Geotechnical centrifuge technology. CRC Press, London, UK
Terzaghi K (1955) Evaluation of coefficients of subgrade reaction. Geotechnique 5(4):297–326, DOI: https://doi.org/10.1680/geot.1955.5.4.297
Yoo MT, Choi JI, Han JT, Kim MM (2013) Dynamic P-Y curves for dry sand from centrifuge tests. Journal of Earthquake Engineering 17(7):L1082–1102, DOI: https://doi.org/10.1080/13632469.2013.801377
Yoo MT, Han JT, Choi JI, Kwon SY (2017) Development of predicting method for dynamic pile behavior by using centrifuge tests considering the kinematic load effect. Bulletin of Earthquake Engineering 15(3): 967–989, DOI: https://doi.org/10.1007/s10518-016-9998-0
Yun JW, Han JT (2020) Dynamic behavior of pile-supported structures with batter piles according to the ground slope through centrifuge model tests. Applied Sciences 10(16):5600, DOI: https://doi.org/10.3390/app10165600
Yun JW, Han JT (2021) Evaluation of soil spring methods for response spectrum analysis of pile-supported structures via dynamic centrifuge tests. Soil Dynamics and Earthquake Engineering 106537, DOI: https://doi.org/10.1016/j.soildyn.2020.106537
Yun JW, Han JT, Kim SR (2019) Evaluation of virtual fixed points in the response spectrum analysis of a pile-supported wharf. Géotechnique Letters 9(3):238–244, DOI: https://doi.org/10.1680/jgele.19.00013
Acknowledgments
This research was supported by a grant (code: 21SCIP-C151438-03) from the Construction Technologies Program funded by the Ministry of Land, Infrastructure and Transport of the Korean government.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yun, J.W., Han, J.T. & Kwan, J. Evaluation of the Virtual Fixed-Point Method for Seismic Design of Pile-Supported Structures. KSCE J Civ Eng 26, 596–605 (2022). https://doi.org/10.1007/s12205-021-0422-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-021-0422-1