Research of Viscous-Spring Artificial Boundary in Dynamic Analysis

Abstract:

Some dynamic artificial boundaries were summarized, including the local boundary and the global boundary. The viscous-spring artificial boundary is introduced in dynamic analysis, and the wave input method is analyzed. Finally, the precision and stability of visco-spring artificial boundary is proved by the example.

• Periodical: Applied Mechanics and Materials (Volume 238)
• Pages: 227-230
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.238.227
• Online since: November 2012
• Authors: Hong Yang Zhang, Li Wei Han, Zong Tao Tao, Liang Yao, Song Ping Li, Xiang Dong He
• Keywords: Displacement Time Histories, Dynamic Artificial Boundaries, Wave Input

References

[1] Alterman Z. S., Karal F. C, Propagation of elastic waves in layered media by finite-difference methods, J. Bull. Seism. Soc. Am., 58 (1968) 367-398.

[2] Givoli D, Numerical Methods for Problems in Infinite Domains, third ed., Elsevier, Amsterdam, 1992.

[3] Banerjee P K, The Boundary Element Methods in Engineering, second ed., McGraw-Hill, London, 1994.

[4] Bettess P, Zienkiewica O C, Diffraction and refraction of surface waves using finite and infinite elements, J. Int. J. for Num. Meth. Ineng., 11 (1977) 1271-1290.

DOI: 10.1002/nme.1620110808

[5] C. Zhao, C. Zhang, G. Zhang, Simulation of semi-infinite plane elastic foundation using infinite elements, J. Tsinghua University (Science and Technology), 26 (1986) 51-64．

[6] Lysmer J, Lumped mass method for Rayleigh waves, J. Bulletin of the seismological Society of America, 60 (1970) 89-104.

DOI: 10.1785/bssa0600010089

[7] Kausel E, J M Rossess, G Wags, Dynamic analysis of footings on layered media, J. Engineering Mechanics, ASCE, 101 (1975) 679-693.

DOI: 10.1061/jmcea3.0002059

[8] Manolis G D, D E Beskos, Boundary Element Methods in Elastodynamics, first ed., Unwin Hyman, London, 1988.

[9] Lysmer J, Kulemeyer R L, Finite dynamic model for infinite media, J. Engng. Mech. Div., ASCE, 95 (1969) 859-877.

DOI: 10.1061/jmcea3.0001144

[10] Dominguez J, Maeso O, Model for the seismic analysis of arch dams including interaction effects, 10th World Conference of Earthquake Engineering, Madrid, 8 (1992) 4601-4606.

[11] Clayton R, Engquist B, Absorbing boundary conditions for wave-equation migration, J. Geophysics, 45 (1980) 859-904.

DOI: 10.1190/1.1441094

[12] Clayton R, Engquist B, Absorbing boundary conditions for acoustic and elastic wave equations, J. Bull. Seism. Soc. Amer., 76 (1977) 1529-1540.

DOI: 10.1785/bssa0670061529

[13] Smith W, A non-reflecting plane boundary for wave propagation problems, J. Comp. Phys., 15 (1973) 492-503.

[14] Kunar R. R, Marti J, A non-reflecting boundary for explicit calculations, J. Computational methods for infinite domain media-structure interaction, ASME, 46 (1981) 183-204.

[15] Z. Liao, K. Huang, B. Yang. Transmitting boundaries to transient wave, J. Scientia Sinica Mathemation, 26 (1984) 50-56．

[16] Deeks A. J., Randolph M. F., Axisymmetric time-domain transmitting boundaries, J. Engineering Mechanics, 120 (1994) 25-42.

DOI: 10.1061/(asce)0733-9399(1994)120:1(25)

[17] G. Gu, Earthquake Engineering for Earthrock Dams, second ed., China WaterPower Press, Beijing, 2009．

[18] J. Liu Jingbo, Y. Lv, A direct method for analysis of dynamic soil-structure interaction, China Civil Engineering Journal, 31 (1998) 55-64.