Geodesic
Non-stationary vibration of growth circular cylindrical shell
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 42-48.

Voir la notice de l'article provenant de la source Math-Net.Ru

Small forced vibrations of growing cylindrical shell fixed on circular boundaries is studied in the framework of Kirchhoff–Love shell theory. The process of the accretion are characterized by the continuous adherence of material particles to its facial surface. Since the shell bends during the accretion, its stressed-strained state depends not only on loading, but also on the history of the process of accretion, i.e. the schedule of accretion. A schedule of elementary type, when during every infinitesimal time interval the particles of adhered material constitute the layer of constant infinitesimal thickness, is considered. 
@article{ISU_2012_12_2_a6,
     author = {A. A. Baryshev and S. A. Lychev and A. V. Manzhirov},
     title = {Non-stationary vibration of growth circular cylindrical shell},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {42--48},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a6/}
}
TY  - JOUR
AU  - A. A. Baryshev
AU  - S. A. Lychev
AU  - A. V. Manzhirov
TI  - Non-stationary vibration of growth circular cylindrical shell
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2012
SP  - 42
EP  - 48
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a6/
LA  - ru
ID  - ISU_2012_12_2_a6
ER  - 
%0 Journal Article
%A A. A. Baryshev
%A S. A. Lychev
%A A. V. Manzhirov
%T Non-stationary vibration of growth circular cylindrical shell
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2012
%P 42-48
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a6/
%G ru
%F ISU_2012_12_2_a6
A. A. Baryshev; S. A. Lychev; A. V. Manzhirov. Non-stationary vibration of growth circular cylindrical shell. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 42-48. http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a6/

[1] Birger I. A., Panovko Ya. G., Prochnost. Ustoichivost. Kolebaniya, spravochnik, v 3 t., v. 3, Mashinostroenie, M., 1968, 567 pp.

[2] Lychev S. A., Lycheva T. N., Manzhirov A. V., “Nestatsionarnye kolebaniya rastuschei krugloi plastiny”, Izv. RAN. MTT, 2011, no. 2, 199–208

[3] Kollats L., Zadachi na sobstvennye znacheniya (s tekhnicheskimi prilozheniyami), Nauka, M., 1968, 504 pp.