Browse > Article
http://dx.doi.org/10.12989/eas.2012.3.2.097

Two-dimensional energy transmitting boundary in the time domain  

Nakamura, Naohiro (Research & Development Institute, Takenaka Corporation)
Publication Information
Earthquakes and Structures / v.3, no.2, 2012 , pp. 97-115 More about this Journal
Abstract
The energy-transmitting boundary, which is used in the well-known finite element method (FEM) program FLUSH, is quite efficient for the earthquake response analysis of buildings considering soil-structure interaction. However, it is applicable only in the frequency domain. The author proposed methods for transforming frequency dependent impedance into the time domain, and studied the time domain transform of the boundary. In this paper, first, the estimation methods for both the halfspace condition under the bottom of the soil model and the pseudo three-dimensional effect were studied with the time domain transmitting boundary. Next, response behavior when using the boundary was studied in detail using a practical soil and building model. The response accuracy was compared with those using viscous boundary, and the boundary that considers the excavation force. Through these studies, the accuracy and efficiency of the proposed time domain transmitting boundary were confirmed.
Keywords
energy transmitting boundary; FEM; time domain; soil-structure interaction; viscous boundary; excavation force;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Kozo Keikaku Engineering Inc. and Jishin kougaku kenkyusho Inc. (2003), "Super FLUSH/2D theoretical manual Ver.4"
2 Lysmer, J. and Kuhlelameyer, R.L. (1969), "Finite dynamic model for infinite area", J. Eng. Mech.-ASCE, 95(EM3), 859-877.
3 Lysmer, J., Udaka, T., Seed, H.B. and Hwang, R.N. (1975a), "FLUSH: a computer program for pseudo 3-D analysis of soil-structure interaction problems", Report No.EERC75-30, University of California, Berkeley.
4 Lysmer, J., Udaka, T., Tsai, C.F. and Seed, H.B. (1975b), "ALUSH a computer program for seismic response analysis of axisymmetric soil-structure systems", Report No.EERC75-31, University of California, Berkeley.
5 Nakamura, N. (2006a), "A practical method to transform frequency dependent impedance to time domain", Earthq. Eng. Struct. D., 35(2), 217-234.   DOI   ScienceOn
6 Nakamura, N. (2006b), "Improved methods to transform frequency dependent complex stiffness to time domain", Earthq. Eng. Struct. D., 35(8), 1037-1050.   DOI   ScienceOn
7 Nakamura, N. (2007), "Practical causal hysteretic damping", Earth. Eng. Struct. D., 36(5), 597-617.   DOI   ScienceOn
8 Nakamura, N. (2008), "Seismic response analysis of deeply embedded nuclear reactor buildings considering frequency dependent soil impedance in time domain", Nucl. Eng. Des., 238(7), 1845-1854.   DOI   ScienceOn
9 Nakamura, N. (2009a), "A Study on nonlinear seismic response analysis of buildings considering frequency dependent soil impedance in time domain", Int. J. Int. Multis. Mech., 2(1), 91-107.
10 Nakamura, N. (2009b), "Nonlinear response analysis of soil-structure interaction system using transformed energy transmitting boundary in the time domain", Soil Dyn. Earthq. Eng., 29(5), 799-808.   DOI   ScienceOn
11 Okumura, M., Udaka, T., Tada, K. and Onami, M. (1982), "Efficiency of base viscous dashpot boundary on soilstructure interaction analysis", Proceeding of 4th Symposium for computational system utilization, Architectural Institute of Japan, 151-156.
12 Tajimi, H. (1980), "A contribution to theoretical prediction of dynamic stiffness of surface foundations", Proceeding of 7th World Conference on Earthquake Engineering, Istanbul, Turkey, 105-112.