Three-Dimensional Indirect Boundary Element Method Formulation for Dynamic Analysis of Frames Buried in Semiinfinite Elastic Media
Publication: Journal of Engineering Mechanics
Volume 132, Issue 9
Abstract
This paper presents a formulation of the indirect boundary element method based on the principle of virtual work for the dynamic analysis of frame structures buried in semi-infinite elastic media. The present formulation, which falls in the category of symmetric Galerkin boundary element methods, leads to symmetric stiffness matrices for the continuum that may be defined in terms of conventional structural analysis variables (i.e., generalized displacements and lumped forces). It is shown that, in the context of the present formulation, rotation degrees of freedom may readily be introduced in the interpolation scheme with very little additional computational effort. The consistency of the present formulation with well-established results is assessed by comparing the predictions for the static and dynamic stiffness of single piles with other results from the literature. Finally, the dynamic stiffness of a single buried frame under vertical and horizontal loading is studied. The analysis shows that the stiffness of the full frame may not always be accurately estimated by means of results for single piles, even when dynamic interaction factors are used.
Get full access to this article
View all available purchase options and get full access to this article.
References
Banerjee, P. K. (1994). The boundary element methods in engineering, McGraw-Hill, New York.
Banerjee, P. K., and Mamoon, S. M. (1990). “A fundamental solution due to a periodic point force in the interior of an elastic half-space.” Earthquake Eng. Struct. Dyn., 19(1), 91–105.
Bathe, K. J. (1996). Finite element procedures, Prentice-Hall, Upper Saddle River, N.J.
Bonnet, M., Maier, G., and Polizzotto, C. (1998). “Symmetric Galerkin boundary element method.” Appl. Mech. Rev. 51, 669–704.
Brebbia, C. A. (1978). The boundary element method for engineers, Pentech Press Limited, Plymouth, Devon, U.K.
Coda, H. B., and Venturini, W. S. (1999). “On the coupling of 3D BEM and FEM frame model applied to elastodynamic analysis.” Int. J. Solids Struct., 36(31–32), 4789–4804.
Coda, H. B., Venturini, W. S., and Aliabadi, M. H. (1999). “A general 3D BEM/FEM coupling applied to elastodynamic continua/frame structures interaction analysis.” Int. J. Numer. Methods Eng., 46(5), 695–712.
Gazetas, G. (1991). “Foundation vibrations.” Foundation engineering handbook, H. Y. Fang, ed., Van Nostrand Reinhold, New York, 553–593.
Gazetas, G., Fan, K., Kaynia, A., and Kausel, E. (1990). “Dynamic interaction factors for floating pile groups.” Tech. Rep. No. NCEER-90-0021, NCEER, State Univ. of New York, Buffalo, N.Y.
Kausel, E. (1981). “An explicit solution for the Green functions for dynamic loads in layered media.” Research Rep., Dept. of Civil Engineering, MIT, Cambridge, Mass.
Kaynia, A. M., and Kausel, E. (1982). “Dynamic stiffness and seismic response of pile groups.” Research Rep., Dept. of Civil Engineering, MIT, Cambridge, Mass.
Mamoon, S. M. (1990). “Dynamic and seismic behavior of deep foundations.” Ph.D. dissertation, State Univ. of New York, Buffalo, N.Y.
Mamoon, S. M., Kaynia, A. M., and Banerjee, P. K. (1990). “Frequency domain analysis of piles and pile groups.” J. Eng. Mech., 116(10), 2237–2257.
Manolis, G. D., and Beskos, D. E. (1988). Boundary element methods in elastodynamics, Unwin Hyman Ltd., London.
Mattes, N. S., and Poulos, H. G. (1969). “Settlement of single compressible pile.” J. Soil Mech. Found. Div., 95(1), 189–207.
Mindlin, R. D. (1936). “Force at a point in the interior of a semi-infinite solid.” J. Appl. Phys., 7(1), 195–202.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., 11(4), 574–598.
Poulos, H. G. (1971). “Behavior of laterally loaded piles. I: Single piles.” J. Soil Mech. Found. Div., 97(5), 711–731.
Randolph, M. F. (1981). “The response of flexible piles to lateral loading.” Geotechnique, 31(2), 247–259.
Randolph, M. F., and Wroth, C. P. (1978). “Analysis of deformation of vertically loaded piles.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 104(12), 1465–1488.
Sagaseta, C. (1987). “Analysis of undrained soil deformation due to ground loss.” Geotechnique, 37(3), 301–320.
Sen, R., Davies, T. G., and Banerjee, P. K. (1985). “Dynamic analysis of piles and pile groups embedded in homogeneous soils.” Earthquake Eng. Struct. Dyn., 13(1), 53–65.
Sheta, M., and Novak, M. (1982). “Vertical vibration of pile groups.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 108(4), 570–590.
Stevenson and Associates. (1996). Super SASSI/PC user manual, Cleveland, Ohio.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 9 • September 2006
Pages: 967 - 978
Copyright
© 2006 ASCE.
History
Received: Aug 3, 2004
Accepted: Dec 28, 2005
Published online: Sep 1, 2006
Published in print: Sep 2006
Notes
Note. Associate Editor: Joel P. Conte
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.