Engineering Transactions, 23, 2, pp. 359-372, 1975

Transient Response of a Plate-Fluid System to Stationary and Moving Pressure Loads

F.R. Norwood
Applied Mathematics Department, Sandoa Alboratories
United States

W.E. Warren
Applied Mathematics Department, Sandoa Alboratories
United States

Bernoulli-Euler plate theory, in conjunction with Laplace and Fourier transforms, is utilized to investigate possible wave motion in a fluid half-space which supports an infinite plate. The surface of the plate is subjected to time and space dependent loadings. Two specific loading conditions are considered, one stationary and one moving, and wave front approximations for the disturbance in the fluid are obtained pressure. Limitations on previous steady-state analysis are pointed out. Results are compared with those obtained in the absence of the plate. Within the framework of this theory, the presence of the plate weakens the pressure wave front over that in the plane fluid half-space.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

J. P. JONES, The response of a plate on an elastic foundation, J. Appl. Mech., 35, 186-187, 1968

D. H. Y. YEN and C. C. CHOU, Response of a plate supported by a fluid half-space to a moving pressure, J. Appl. Mech., 37, 1050-1054, 1970.

J. W. MILES, Response of a layered half-space to a moving load, J. Appl. Mech., 33, 680-681, 1966.

F.R. NORWOOD, Exact transient response of an elastic half-space loaded over a rectangular region of its surface, J. Appl. Mech., 39, 516-522, 1969.

F.R. NORWOOD, Interior motion of an elastic half-space due to a normal finite moving line load on its surface, Int. J. Solids and Structures, 6, 1483-1498, 1970.

L. KNOPOFF and F. GILBERT, First motion methods in theoretical seismology, J. Acoust. Soci. America, 31, 1161-1168, 1959.

D. E. AMOS and P.J. CHEN, Transient heat conduction with finite wave speeds, J. Appl. Mech., 37, 1145-1146, 1970.

J. E. RUSSELL and G. HERRMANN, Submerged cylindrical shells subjected to moving loads, SUDAM Report No. 72-2, March 1972, also Scientific Report AFOSR-TR-72-0251.