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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 6

On one problem of a cusped elastic prismatic shells in case of the third model of Vekua's hierarchical model

Natalia CHİNCHALADZE
Sayfa
1665–1673
Yayın Tarihi
2022-10-18
DOI
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In the present paper hierarchical model for cusped, in general, elastic prismatic shells is considered, when on the face surfaces a normal to the projection of the prismatic shell component of a traction vector and parallel to the projection of the prismatic shell components of a displacement vector are known.

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Amaç & Hipotez:In the present paper hierarchical model for cusped, in general, elastic prismatic shells is considered, when on the face surfaces a normal to the projection of the prismatic shell component of a traction vector and parallel to the projection of the prismatic shell components of a displacement vector are known.
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Temel Bulgular & Veri:In the present paper hierarchical model for cusped, in general, elastic prismatic shells is considered, when on the face surfaces a normal to the projection of the prismatic shell component of a traction vector and parallel to the projection of the prismatic shell components of a displacement vector are known.
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Sonuç & Katkı:In the present paper hierarchical model for cusped, in general, elastic prismatic shells is considered, when on the face surfaces a normal to the projection of the prismatic shell component of a traction vector and parallel to the projection of the prismatic shell components of a displacement vector are known.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the present paper hierarchical model for cusped, in general, elastic prismatic shells is considered, when on the face surfaces a normal to the projection of the prismatic shell component of a traction vector and parallel to the projection of the prismatic shell components of a displacement vector are known.

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Bu Makaleye Atıf Yap

CHİNCHALADZE, N. (2022). On one problem of a cusped elastic prismatic shells in case of the third model of Vekua's hierarchical model. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 6, 1665–1673. https://ajindex.com/articles/530032

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Kaynakça (15)

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  2. Chinchaladze, N. Harmonic vibration of cusped plates in the N-th approximation of Vekua's hierarchical models, Archives of Mechanics 65 (5), 345-365, 2013
  3. Chinchaladze, N. On some analytic methods for calculating of cusped prismatic shells, PAMM: Proceedings in Applied Mathematics and Mechanis 14 (1), 185-186, 2014
  4. Chinchaladze, N., Jaiani, G., Gilbert, R., Kharibegashvili, R. and Natroshvili, D. Existence and uniqueness theorems for cusped prismatic shells in the N-th hierarchical model, Mathematical Methods in Applied Sciences 31 (11), 1345-1367, 2008
  5. Chinchaladze, N., Jaiani, G., Gilbert, R., Kharibegashvili, R. and Natroshvili, D. Initialboundary value problems for solid- fluid composite structures, Zeitschrift Für Angewandte Mathematik und Physik (ZAMP) 63 (4), 625-653, 2012
  6. Chinchaladze, N., Jaiani, G., Podio-Guidugli, P. and Maistrenko, B. Concentrated contact interactions in cuspidate prismatic shell-like bodies, Archive of Applied Mechanics 81 (10), 1487-1505, 2011
  7. Devdariani, G., Jaiani, G., Kharibegashvili, R. and Natroshvili, D. The first boundary value problem for the system of cusped prismatic shells in the first approximation, Appl. Math. Inform. 5 (2), 26-46, 2000
  8. Jaiani, G. Hierarchical models for prismatic shells with mixed conditions on face surfaces, Bulletin of TICMI 17 (2), 24-48, 2013
  9. Jaiani, G. Cusped shell-like structures, SpringerBriefs in Applied Science and Technology, Springer-Heidelberg-Dordrecht-London-New York, 2011
  10. Jaiani, G., Kharibegashvili, S., Natroshvili, D. and Wendland, W.L. Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary, J. Elasticity 77 (2), 95-122, 2004
  11. Jaiani, G., Kufner, A. Oscillation of cusped Euler-Bernoulli beams and Kirchho-Love plates, Hacettepe Journal of Mathematics and Statistics, 35 (1), 7-53, 2006
  12. Gordeziani, D.G. On the solvability of some boundary value problems for a variant of the theory of thin shells, Dokl. Akad. Nauk SSSR 215 (6), 1289-1292, 1974, in Russian
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