TECHNICAL PAPERS
Jul 1, 1994

Effect of Flexibility on Impedance Functions for Circular Foundation

Publication: Journal of Engineering Mechanics
Volume 120, Issue 7

Abstract

This paper investigates the effect of foundation rigidity on impedance functions for a circular foundation on a viscoelastic soil medium. In addition to vertical and rocking impedances, the paper also investigates the influence on coupling impedance for horizontal and rocking motions of foundation and horizontal impedance. To generate impedance functions for flexible foundation, a substructure technique is used. For the substructure of the flexible foundation, classical plate theory with neglecting inertial force is employed to obtain the deformation of the foundation due to the interaction stress. For the substructure of the soil medium, the technique, which can deal with wave equations in cylindrical coordinates with arbitrarily prescribed boundary conditions, is employed to obtain the displacement field in the soil medium due to the interaction stresses. Then, with the help of the variational principle, the displacement continuity condition of both substructures is imposed to generate the impedances for the flexible foundation. To demonstrate the effectiveness of the presented procedure, comparison with some previous numerical results is made. Selected numerical results of the presented procedure are presented. Also, comparison between results with and without the assumption of relaxed stress condition is given in order to show the significance of the assumption.

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References

1.
Iguchi, M., and Luco, J. E. (1982). “Vibration of flexible plate on viscoelastic medium.” J. Engrg. Mech., ASCE, 108(6), 1103–1120.
2.
Krenk, S., and Schmidt, H. (1981). “Vibration of an elastic circular plate on an elastic half space—a direct approach.” J. Appl. Mech., 48(March), 161–168.
3.
Lin, Y. J. (1978). “Dynamic response of circular plates resting on viscoelastic half space.” J. Appl. Mech., 45(June), 379–384.
4.
Liou, G. S. (1989). “Analyltical solution for soil‐structure interaction in layered media.” J. Earthquake Engrg. and Struct. Dynamics, 18(5), 667–686.
5.
Liou, G. S., Lee, G. C., and Ketter, R. L. (1991). “Analytic solution for dynamic loading on half‐space medium.” J. Engrg. Mech., ASCE, 117(7), 1485–1494.
6.
Liou, G. S. and Lee, G. C. (1992). “Impedance matrices for axial symmetric foundations on layered media.” Struct. Engrg. Earthquake Engrg., 9(1), 33–44.
7.
Lysmer, J. (1965). “Vertical motion of rigid footings.” Contract Rep. No. 3‐115, Univ. of Michigan, Ann Arbor, Mich.
8.
Mindlin, R. D. (1951). “Influence of rotatary inertial and shear on flexural motions of isotropic, elastic plates.” J. Appl. Mech., 18(March), 31–38.
9.
Rajapakse, R. K. (1989). “Dynamic response of elastic plates on viscoelastic half space.” J. Engrg. Mech., ASCE, 115(9), 1867–1881.
10.
Reissner, E. “On transverse bending of plates, including the effect of transverse shear deformation.” Int. J. Solids and Struct., 11(5), 569–573.
11.
Sezawa, K. (1929). “Further studies on rayleigh waves having some azimuthal distribution.” Bull. of Earthquake Res. Inst., Tokyo, Japan, 6(1), 1–18.
12.
Whittaker, W. L., and Christiano, P. (1982). “Dynamic response of plate on elastic half‐space.” J. Engrg. Mech., ASCE, 108(1), 133–154.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 120Issue 7July 1994
Pages: 1429 - 1446

History

Received: Jul 12, 1993
Published online: Jul 1, 1994
Published in print: Jul 1994

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Authors

Affiliations

Gin‐Show Liou
Prof., Dept. of Civ. Engrg., Nat. Chiao‐Tung Univ., Hsin‐Chu, Taiwan 30049
Pao‐Han Huang
Grad. Student, Dept. of Civ. Engrg., Nat. Chiao‐Tung Univ., Hsin‐Chu, Taiwan 30049

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