SOME NOTES ON THE MATHEMATICAL THEORY OF A LOADED ELASTIC PLATE RESTING ON AN ELASTIC FOUNDATION

1953 ◽  
Vol 6 (1) ◽  
pp. 32-44 ◽  
Author(s):  
R. K. LIVESLEY
Keyword(s):  
Elastic Foundation ◽  
Elastic Plate ◽  
Mathematical Theory

On the Vibration of an Elastic Plate on an Elastic Foundation

1967 ◽  
Vol 42 (5) ◽  
pp. 1202-1202
Author(s):  
David H. Y. Yen ◽  
S. C. Tang
Keyword(s):  
Elastic Foundation ◽  
Elastic Plate

The Response of a Plate on an Elastic Foundation

1968 ◽  
Vol 35 (1) ◽  
pp. 186-187 ◽  
Author(s):  
J. P. Jones
Keyword(s):  
Elastic Foundation ◽  
Elastic Plate ◽  
Pressure Pulse ◽  
Specific Problem ◽  
Underground Structure ◽  
Approximate Equation ◽  
Step Function ◽  
Simple Expression ◽  
Acoustic Medium ◽  
Recent Interest

There has been much recent interest in the possibility of hardening an underground structure by means of an elastic plate placed on the ground above the structure. To obtain a simple expression for the interaction pressure between the ground and the plate, the present analysis treats the problem of a plate on top of an acoustic medium subjected to a uniformly moving pressure pulse. It is found that an approximate equation suggested by S. B. Baldorf is quite valid in the superseismic range of load speed. The specific problem of a step function loading traveling with uniform velocity, superseismic to the foundation, is treated. The extension of this problem to an actual elastic foundation is straightforward and is not treated.

scholarly journals Use of Ice Covers for Transportation

1971 ◽  
Vol 8 (2) ◽  
pp. 170-181 ◽  
Author(s):  
L. W. Gold
Keyword(s):  
Thermal Stress ◽  
Elastic Foundation ◽  
Elastic Plate ◽  
Maximum Stress ◽  
Theoretical Calculations ◽  
Strength Properties ◽  
Vehicle Speed ◽  
Vehicular Traffic ◽  
Total Load

Observations are reported on the failure and use of freshwater ice covers for vehicular traffic. The study showed that good quality ice covers can support loads of up to P = 250 h2, where P is the total load in pounds and h is the thickness of the ice in inches. Failures were reported, however, for loadings as low as P = 50 h2. Factors contributing to the failure of covers for loading less than P = 250 h2 were: vehicle speed, thermal stress due to drop in temperature, and fatigue and quality of the cover. The results are discussed with reference to Westergaard's equations for the maximum stress due to circular loads on an elastic plate resting on an elastic foundation. Information is presented on the elastic and strength properties of ice covers required for theoretical calculations. Experience in the construction and use of ice roads and parking areas is described.

On the Thermally Induced Flexural Deformation of an Anisotropic Visco-Elastic Plate Resting on an Elastic Foundation

1985 ◽  
Vol 9 (4) ◽  
pp. 228-232
Author(s):  
J.C. Misra ◽  
S.B. Kar ◽  
S.C. Samanta
Keyword(s):  
Quantitative Analysis ◽  
Temperature Distribution ◽  
Rectangular Plate ◽  
Elastic Foundation ◽  
Elastic Plate ◽  
Isotropic Plate ◽  
Middle Section ◽  
Thermally Induced ◽  
Central Surface

The object of the paper is to examine the role of anisotropicity in a visco-elastic plate subjected to an uneven temperature distribution. An expression for deflection of the particle at the middle section of a rectangular plate is found analytically. An attempt towards the quantitative analysis of the deflected central surface has been made and the results are compared with those for an identical isotropic plate.

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