Displacement Response of Multi-Storey Structures with Flexible Foundation due to Plane –Shear Waves Excitation

Shashi Kumar(1), Swapan Kumar Chakraborty(2*)

(1) Birla Institute of Technology, Mesra, Ranchi- 835215, India, India
(2) Birla Institute of Technology, Mesra, Ranchi- 835215, India, India
(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)


The present article investigates the response of multi-storey structures with soft ground floor due to the shear wave excitation. The whole building is assumed to rest on the flexible elastic foundation underlain by inhomogeneous elastic half-space. Using the eigenfunction expansion, analytical solutions are derived for a two-dimensional continuous building model. It is observed that the vibration experienced by the structural building with flexible foundation during an earthquake may be substantially different from the motion that the structure perceives in its absence. It has also been shown that the flexible foundation influences the passage of shear motion to such an extent that the motion causing disturbance in the ground floor cannot make any headway to the upper floors of the building.
Copyright © 2014 Praise Worthy Prize - All rights reserved.


Flexible Foundation; Inhomogeneous Elastic Half-Space; Soft-Ground Floor; Shear Wave

Full Text:



M.I. Todorovska, and V.W. Lee, Seismic waves in buildings with shear walls or central core, Journ. Engg. Mech., ASCE, 115 (12), pp. 2669-2686, (1989).

R.W. Clough, and J. Penzien, Dynamics of structures, Mc- Graw Hill, New York, (1975).

M.I. Todorovska, and M.D. Trifunac, The effects of the wave passage on the response of base-isolated buildings on rigid embedded foundations , Report CE-93-10, Deptt. of Civil Engg., Univ. of Southern California, Los Angles, California, U.S.A.(1993).

J. Hall, T.H. Heaton, M.W. Haling, and D.J. Wold, Near-source ground motion and its effects on flexible buildings, Earthquake Spectra, 11(4), pp. 569, (1995).

W.D. Iwan, Drift spectrum: Measure of demand for earthquake ground motions, Journ. Structural Engg., ASCE, 123(4), pp. 397-404, (1997).

A.S. Veletsos, and J.M. Meek, Dynamic behaviour of building-foundation systems, Journ. Earthquake Engg. and Structural Dynamics., 3, pp. 121-138, (1974).

M.D. Braja, Principles of foundation Engineering, PWS Publishing: Pacific Grove, U.S.A, (1999).

Y.S. Kim, K. Miura, S. Miura And N. Nishimura, Bibration characteristics of rigid body placed on sand ground, soil Dyn. And Earthquake Engg., 21, pp. 19-37, (2001).

M.I. Todorovska, A. Hayir And M.D. Trifunac, Antiplane response of a dike on flexible embedded foundation to incident SH-waves, Soil Dyn. Earthquake Engg., 21(7), pp. 593-601, (2001).

H.L. Wong and J.E. Luco, Dynamic response of rigid foundations of arbitrary shape, Earthquake Engineering and Structural Dyn., 4, pp. 579-587, (1976).

A.K. Vaish and A.K. Chopra, Earthquake finite element analysis of structure- foundation systems, Journ. Engg. Mech. Div., ASCE, 100 (EM 6), Proc. Paper 10990, pp. 1011-1016, (1974).

M.D. Trifunac, Differential eqrthquake motion of building foundations. Journ. Strucutural Engg., ASCE, 123(4), pp. 414-422, (1997).

J.M. Rosset, R.V. Whitman and R. Dobry, Modal analysis for structures with foundation interaction, Journ. Structural Div., ASCE, 99, pp. 399-416, (1973).

E. Safak, Wave propagation formulation of seismic response of multi-story buildings. J. Struct. Engg., ASCE, 125, pp. 426 (1999).

J.P. Wolf, Dynamic soil-stucture interaction, Prentice Hall, Englewood Cliffs, (1985).

M.I. Todorovska, Effect of depth embedment on the system response during building-soil interaction. Soil Dyn. Earthquake Engg. 11, pp. 111(1992).

J. P. Wolf and P. Obernguber, Effects of horizontally propagating waves on the response of structures with a soft first storey, Earthquake Engg. and Structural Dyn., 9,pp. 1-21, (1981).

V.K. Gupta and M.D. Trifunac, Seismic response of multistoried buildings including the effects of soil-structure interaction. Soil Dyn, Earthquake Engg., 10, pp. 414(1991).

J.P. Wolf and C. Song, Some cornerstones of dynamic soil-sturcutre interaction, Engg. Struct., 24, pp. 13-28, (2002).

S.C. Dutta, K. Bhattacharya And R. Roy, Response of low-rise building under seismic ground excitation incorporating soil-sturcture interaction. 24, pp. 893 (2004).

A. Hayir, M.I. Todorovska and M.D. Trifunac, Antiplane response of a dike with flexible soil-structure interface to incident SH-waves, Soil Dyn. And Earthquake Engg., 21, pp. 603, (2001).

S.K.Chakraborty, S.K. Sarkar and S.P. Bhattacharya, Frequency-response analysis of shear vibration of long structures due to surface excitation, Int. Journ. Acoustics and Vibration, 12(3), pp. 109-115, (2007).

S.K. Chakraborty and S.K. Sarkar, Response analysis of multi-storey structures on flexible foundation due to seismic excitation, Int. Journ. Acoustics and Vibration, 13(4), pp. 165-170, (2008).

W.H. Weiskopf: Stresses in soils under a foundation. J. Franklin Inst. pp. 239, 1945.

W.H. Weiskopf, J. Franklin Inst. 239 (1945), pp. 445.

S. K. Chakraborty and S.Dey, The propagation of love waves in water-saturated soil underlain by a heterogeneous elastic medium. Acta Mechanica 44, pp. 169-176 (1982).

S. K. Charkraborty, R. K. De and A. Chandra, Love waves in a dry sandy layer, Fenlands Beitr. Geophysik, Leipzig 91(1982) 1, pp. 67-74.


  • There are currently no refbacks.

Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2019 Praise Worthy Prize