A laboratory model has been built and tested to simulate an elastic half-space medium subjected to dynamic loading. This
has been used in an attempt to experimentally determine the two important elastic properties of shear and Poisson ratio of the
medium. Also, the finite size model has been used to conduct experiments to verify the validity of some of the established
theories on the dynamic response of a rigid foundation on the surface of an elastic half-space.
1 Lamb, H., (1904), “On the propagation of tremors over the surface of an elastic solid,” phil. Trans. R. Soc. (London) A.
203, 1-42.
2 Grootenhuis, P. and A.O. Awojobi, (1965), “The In-situ Measurement of the Dynamic Properties of Soils,” Proceedings
of Symposium on Vibration in Civil Engineering, Institute of Civil Engineering, pp. 181-187.
3 Wong, H.L. and J.E. Luco, (1976), “Dynamic response of rigid foundations of arbitrary shape,” Int. J. Earthquake Eng.
Struct. Dyn. 4, 579-587.
4 Kobori, T., R. Minai, T. Suzuki and K. Kusakabe, (1966), “Dynamical ground compliance of rectangular foundations,”
Proc. 16th Japan Nat. Congress Appl. Mech. Eng., pp. 301-315.
5 Elorduy, J., J.A. Nieto and E.M. Szekely, (1967), “Dynamic Response of Bases of Arbitrary Shape Subjected to Periodic
Vertical Loading,” Proceedings of the International Symposium on Wave Propagation and Dynamic Properties of Earth
Materials, pp. 105-123.
6 Hamidzadeh, H.R. and P. Grootenhuis, (1981), “The Dynamics of Rigid Foundations on the Surface of an Elastic Half-
Space,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 9, pp. 501-515.
7 Karabalis, D.I. and D.E. Beskos, (1984), “Dynamic response of 3D rigid surface foundations by time domain boundary
element,” Int. J. Earthquake Eng. Struct. Dyn., 12, 73-93.
8 Takahashi, D. (1985), “Wave propagation in ground-structure systems with line contact,” J. Sound and Vibration, 101(4),
523-537.
9 Triantafyllidis, T. (1986), “Dynamic stiffness of rigid rectangular foundations on the half-space,” Int. J. Earthquake Eng.
Struct. Dyn., 14, 391-411.
10 Hamidzadeh, H.R. (1986), “Surface vibration of an elastic half-space,” Proc., SECTAM XIII, 2, 637-642.
11 Arnold, R.N., G.N. Bycroft and G.B. Warburton, (1995), “Forced vibrations of a body in an infinite elastic solid,” J.
Appl. Mech., 22, 391-400.
14
12 Chae, Y.S., (1967), “The Material Constants of Solid as Determined from Dynamic Testing,” Proceedings of the
International Symposium on Wave Propagation and Dynamic Properties of Earth Materials, pp. 759-771.
13 Sung, T.Y., (1953), “Vibration in Semi-Infinite Solids due to Periodic Surface Loading,” Symposium on Dynamic Testing
of Soils, ASTM STP No. 156, pp. 35-64.
14 Stokoe, K.H. and R.D. Woods, (1972), “In-situ Shear Wave Velocity by Cross-Hole Method,” ASCE Journal of Soil
Mechanics and Foundation Division, Vol. 98, pp. 443-460.
15 Tabiowo, P.H., (1973), “Vertical Vibration of Rigid Bodies With Rectangular Bases on Elastic Media,” Ph.D. Thesis,
Department of Mechanical Engineering, University of Lagos.
16 Hamidzadeh, H.R., (1978), “Dynamics of rigid foundations on the surface of an elastic half-space,” Ph.D. Dissertation,
University of London, England.
17 Richart, F.E., Jr. and R.V. Whitman, (1967), “Comparison of footing vibration test with theory,” ASCE J. Soil Mechanics
and Foundation Dynamics, 93, No. SM6, 143-168.
18 Luco, J., O. Ozcelik and J. Conte, (2010), “Acceleration Tracking Performance of the UCSD-NEES Shake Table,”
J. Struct. Eng., 136(5), 481–490.
19 Baidya, D. K. and A. Mandal, (2006), “Dynamic Response of Footing Resting on a Layered Soil System,” West Indian
journal of engineering, Vol. 28, No. 2, pp. 65-79.
20 Choudhury, D. and K.S. Subba Rao, (2005), “Seismic Bearing capacity of Shallow strip Foundations,” Geotechnical and
Geological Engineering, Vol.23, No. 4, pp. 403-418.