A study of bending waves in infinite and anisotropic plates
Applications of Mathematics, Tome 42 (1997) no. 3, pp. 213-232
In this paper we present a unified approach to obtain integral representation formulas for describing the propagation of bending waves in infinite plates. The general anisotropic case is included and both new and well-known formulas are obtained in special cases (e.g. the classical Boussinesq formula). The formulas we have derived have been compared with experimental data and the coincidence is very good in all cases.
In this paper we present a unified approach to obtain integral representation formulas for describing the propagation of bending waves in infinite plates. The general anisotropic case is included and both new and well-known formulas are obtained in special cases (e.g. the classical Boussinesq formula). The formulas we have derived have been compared with experimental data and the coincidence is very good in all cases.
DOI :
10.1023/A:1022469605398
Classification :
35C15, 35Q72, 73K10, 74K20
Keywords: Kirchoff plate equation; bending waves; anisotropic plates; orthotropic plates; isotropic plates; the Fourier transform; Boussinesq formula
Keywords: Kirchoff plate equation; bending waves; anisotropic plates; orthotropic plates; isotropic plates; the Fourier transform; Boussinesq formula
@article{10_1023_A:1022469605398,
author = {Lindblom, Ove and N\"aslund, Reinhold and Persson, Lars-Erik and F\"allstr\"om, Karl-Evert},
title = {A study of bending waves in infinite and anisotropic plates},
journal = {Applications of Mathematics},
pages = {213--232},
year = {1997},
volume = {42},
number = {3},
doi = {10.1023/A:1022469605398},
mrnumber = {1441631},
zbl = {0898.35019},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022469605398/}
}
TY - JOUR AU - Lindblom, Ove AU - Näslund, Reinhold AU - Persson, Lars-Erik AU - Fällström, Karl-Evert TI - A study of bending waves in infinite and anisotropic plates JO - Applications of Mathematics PY - 1997 SP - 213 EP - 232 VL - 42 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1022469605398/ DO - 10.1023/A:1022469605398 LA - en ID - 10_1023_A:1022469605398 ER -
%0 Journal Article %A Lindblom, Ove %A Näslund, Reinhold %A Persson, Lars-Erik %A Fällström, Karl-Evert %T A study of bending waves in infinite and anisotropic plates %J Applications of Mathematics %D 1997 %P 213-232 %V 42 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1023/A:1022469605398/ %R 10.1023/A:1022469605398 %G en %F 10_1023_A:1022469605398
Lindblom, Ove; Näslund, Reinhold; Persson, Lars-Erik; Fällström, Karl-Evert. A study of bending waves in infinite and anisotropic plates. Applications of Mathematics, Tome 42 (1997) no. 3, pp. 213-232. doi: 10.1023/A:1022469605398
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