Geodesic
A rectangular plate on a~two-parameter elastic base: the analytical solution
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 128-133

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In the paper the approximate solution for a problem of a rectangular plate on a two-parameter elastic base is suggested. The double series of beam functions satisfying elastic support boundary conditions are constructed. The analytical expressions for series function coefficients are obtained.
Keywords: rectangular plate, approximate analytical solution, two-parameter elastic base, elastic support, beam functions, double series of functions. 
@article{VSGU_2011_8_a13,
     author = {A. A. Bol'shakov},
     title = {A rectangular plate on a~two-parameter elastic base: the analytical solution},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {128--133},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a13/}
}
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A. A. Bol'shakov. A rectangular plate on a~two-parameter elastic base: the analytical solution. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 128-133. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a13/