Multifrequency forced vibrations of thin elastic shelis with a positive Gausse's curvature and finite deformations
Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 59
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In the paper, the first asymptotic approximations of the solutions for the displacements and the stress function for the four-frequency regime of forced nonlinear oscillations of a thin elastic shell with a positive Gaussian curve and finite deformations during oscillation were compiled. The four frequencies of the coercive force are either constant or slowly varying functions of time in the resonant range of the first four natural frequencies of undisturbed shell oscillation.
Using the derived system of differential equations of the first approximation for the amplitudes and phases of the four frequency regimes of resonant oscillation, an analysis of the mutual influence of harmonics as a consequence of the nonlinearity of the system was performed.
@article{TAM_1985_11_1_a5,
author = {Katica and Stevanovi\'c and Hedrih},
title = {Multifrequency forced vibrations of thin elastic shelis with a positive {Gausse's} curvature and finite deformations},
journal = {Theoretical and applied mechanics},
pages = {59 },
year = {1985},
volume = {11},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a5/}
}
TY - JOUR AU - Katica AU - Stevanović AU - Hedrih TI - Multifrequency forced vibrations of thin elastic shelis with a positive Gausse's curvature and finite deformations JO - Theoretical and applied mechanics PY - 1985 SP - 59 VL - 11 IS - 1 UR - http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a5/ LA - en ID - TAM_1985_11_1_a5 ER -
%0 Journal Article %A Katica %A Stevanović %A Hedrih %T Multifrequency forced vibrations of thin elastic shelis with a positive Gausse's curvature and finite deformations %J Theoretical and applied mechanics %D 1985 %P 59 %V 11 %N 1 %U http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a5/ %G en %F TAM_1985_11_1_a5
Katica ; Stevanović; Hedrih. Multifrequency forced vibrations of thin elastic shelis with a positive Gausse's curvature and finite deformations. Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 59 . http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a5/