A General Solution for the Bending of Beams on an Elastic Foundation of Arbitrary Continuity

1950 ◽  
Vol 21 (1) ◽  
pp. 55-58 ◽  
Author(s):  
M. Hetényi
Keyword(s):  
General Solution ◽  
Elastic Foundation ◽  
Bending Of Beams

Analytical Solution of Bending and Vibration of a Rectangular Plate on the Elastic Foundation

2011 ◽  
Vol 255-260 ◽  
pp. 9-13
Author(s):  
Hong Zhang ◽  
Chun Ling Wang ◽  
Ai Qin Wang
Keyword(s):  
General Solution ◽  
Rectangular Plate ◽  
Elastic Foundation ◽  
Analytic Solutions ◽  
Integral Representations ◽  
New Method ◽  
Vertical Force ◽  
Computational Results ◽  
Sine Series ◽  
Practical Applications

The analytic solutions of steady vibration of a rectangular plate loaded with vertical force on the semi-infinite elastic foundation were given by combining the general solution of double trigonometrically sine series with supplementary terms with the dynamic integral representations for displacements of the semi-infinite elastic foundation loaded with arbitrary vertical force. Some computational results were presented. The agreements were found to be satisfactory which proved the validity of the new method in solving the problem. This new method would be feasible in practical applications.

General solution for dynamical problem of infinite beam on an elastic foundation

1991 ◽  
Vol 12 (7) ◽  
pp. 633-637 ◽  
Author(s):  
Zheng Xiao-ping ◽  
Wang Shang-wen ◽  
Chen Bai-ping
Keyword(s):  
General Solution ◽  
Elastic Foundation ◽  
Dynamical Problem ◽  
Infinite Beam

The Role of VLBI in the Establishment of Coordinate Systems

1975 ◽  
Vol 26 ◽  
pp. 293-295 ◽  
Author(s):  
I. Zhongolovitch
Keyword(s):  
General Solution ◽  
Future Development ◽  
Rational Approach ◽  
Radio Telescopes ◽  
Coordinate Systems ◽  
Tectonic Plates ◽  
Astronomical Observations ◽  
Optical Instruments ◽  
Fundamental Polyhedron

Considering the future development and general solution of the problem under consideration and also the high precision attainable by astronomical observations, the following procedure may be the most rational approach:1. On the main tectonic plates of the Earth’s crust, powerful movable radio telescopes should be mounted at the same points where standard optical instruments are installed. There should be two stations separated by a distance of about 6 to 8000 kilometers on each plate. Thus, we obtain a fundamental polyhedron embracing the whole Earth with about 10 to 12 apexes, and with its sides represented by VLBI.

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