Numerical analysis of non-linear vibrations of a fractionally damped cylindrical shell under the conditions of combinational internal resonance

Yury A. Rossikhin; Marina V. Shitikova; Basem Ajarmah

doi:10.1051/matecconf/201814803006

All issues

Volume 148 (2018)

MATEC Web Conf., 148 (2018) 03006

References

Open Access

Issue		MATEC Web Conf. Volume 148, 2018 International Conference on Engineering Vibration (ICoEV 2017)


Article Number		03006
Number of page(s)		6
Section		Nonlinear Oscillations and Controls of Mechanical, Civil, Aerospace and Naval Structures
DOI		https://doi.org/10.1051/matecconf/201814803006
Published online		02 February 2018

V.D. Kubenko, P.S. Koval’chuk, Int. Appl. Mech. 34, 703–728 (1998) [CrossRef] [Google Scholar]
M. Amabili, M.P. Paidoussis, Appl. Mech. Rev. 56, 349–381 (2003) [CrossRef] [Google Scholar]
Y.-S. Lee, Trans. KSME 33, 1–26 (2009) [CrossRef] [Google Scholar]
I.D. Breslavsky, K.V. Avramov, Meccanica 46, 817–832 (2011) [CrossRef] [Google Scholar]
K.V. Avramov, Yu.V. Mikhin, E. Kurilov, Nonlinear Dyn. 47, 331–352 (2012) [CrossRef] [Google Scholar]
Yu.A. Rossikhin, M.V. Shitikova, Chapter 17 in: Shell and Membrane Theories in Mechanics and Biology: From Macro-to Nanoscale Structures (H. Altenbach, G.I. Mikhasev, eds., Springer, pp. 259–280, 2015) DOI 10.1007/978-3-319-02535-3_17 [Google Scholar]
Yu.A. Rossikhin, M.V. Shitikova, Chapter 3 in: Computational Problems in Science and Engineering (N. Mastorakis et al. eds.), Lecture Notes in Electrical Engineering 343, 59-107 (Springer Int. Publ., Switzerland, 2015) DOI 10.1007/978-3-319-15765-8_3 [CrossRef] [Google Scholar]
Yu.A. Rossikhin, M.V. Shitikova, Appl. Mech. Rev. 63, 010801 (2010) [CrossRef] [Google Scholar]
Yu.A. Rossikhin, M.V. Shitikova, Appl. Math. Comp. 257, 498–525 (2015) [CrossRef] [Google Scholar]
K. Diethelm, Elect. Trans. Num. Anal. 5, 1–6 (1997) [Google Scholar]
J.T. Edwards, N.J. Ford, A.C. Simpson, J. Comp. Appl. Math. 148, 401–418 (2002) [CrossRef] [Google Scholar]
A. Volmir, Nonlinear dynamics of plates and shells (Nauka, Moscow, 1972) [Google Scholar]
Yu.A. Rossikhin, M.V. Shitikova, In: Proceedings of the 18th International Congress on Sound and Vibration 4, 2775-2782, July 11-14, 2011, Rio de Janeiro, Brazil (2011) [Google Scholar]
R.W. Clough, J. Penzien, Dynamics of structures (McGraw-Hill, New York, 1975) [Google Scholar]
Yu.A. Rossikhin, M.V. Shitikova, ASCE J. Eng. Mech, 124, 1029–1036 (1998) [CrossRef] [Google Scholar]
A. Nayfeh, Perturbation methods (Wiley, New York 1973) [Google Scholar]
D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, Fractional calculus: Models and numerical methods (World Scientific, Singapore, pp. 88-114, 2012) [Google Scholar]
K. Diethelm, Hildesheimer Informatikberichte (1995) [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

[1] V.D. Kubenko, P.S. Koval’chuk, Int. Appl. Mech. 34, 703–728 (1998) [CrossRef] [Google Scholar]

[2] M. Amabili, M.P. Paidoussis, Appl. Mech. Rev. 56, 349–381 (2003) [CrossRef] [Google Scholar]

[3] Y.-S. Lee, Trans. KSME 33, 1–26 (2009) [CrossRef] [Google Scholar]

[4] I.D. Breslavsky, K.V. Avramov, Meccanica 46, 817–832 (2011) [CrossRef] [Google Scholar]

[5] K.V. Avramov, Yu.V. Mikhin, E. Kurilov, Nonlinear Dyn. 47, 331–352 (2012) [CrossRef] [Google Scholar]

[6] Yu.A. Rossikhin, M.V. Shitikova, Chapter 17 in: Shell and Membrane Theories in Mechanics and Biology: From Macro-to Nanoscale Structures (H. Altenbach, G.I. Mikhasev, eds., Springer, pp. 259–280, 2015) DOI 10.1007/978-3-319-02535-3_17 [Google Scholar]

[7] Yu.A. Rossikhin, M.V. Shitikova, Chapter 3 in: Computational Problems in Science and Engineering (N. Mastorakis et al. eds.), Lecture Notes in Electrical Engineering 343, 59-107 (Springer Int. Publ., Switzerland, 2015) DOI 10.1007/978-3-319-15765-8_3 [CrossRef] [Google Scholar]

[8] Yu.A. Rossikhin, M.V. Shitikova, Appl. Mech. Rev. 63, 010801 (2010) [CrossRef] [Google Scholar]

[9] Yu.A. Rossikhin, M.V. Shitikova, Appl. Math. Comp. 257, 498–525 (2015) [CrossRef] [Google Scholar]

[10] K. Diethelm, Elect. Trans. Num. Anal. 5, 1–6 (1997) [Google Scholar]

[11] J.T. Edwards, N.J. Ford, A.C. Simpson, J. Comp. Appl. Math. 148, 401–418 (2002) [CrossRef] [Google Scholar]

[12] A. Volmir, Nonlinear dynamics of plates and shells (Nauka, Moscow, 1972) [Google Scholar]

[13] Yu.A. Rossikhin, M.V. Shitikova, In: Proceedings of the 18th International Congress on Sound and Vibration 4, 2775-2782, July 11-14, 2011, Rio de Janeiro, Brazil (2011) [Google Scholar]

[14] R.W. Clough, J. Penzien, Dynamics of structures (McGraw-Hill, New York, 1975) [Google Scholar]

[15] Yu.A. Rossikhin, M.V. Shitikova, ASCE J. Eng. Mech, 124, 1029–1036 (1998) [CrossRef] [Google Scholar]

[16] A. Nayfeh, Perturbation methods (Wiley, New York 1973) [Google Scholar]

[17] D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, Fractional calculus: Models and numerical methods (World Scientific, Singapore, pp. 88-114, 2012) [Google Scholar]

[18] K. Diethelm, Hildesheimer Informatikberichte (1995) [Google Scholar]