Skip to main content
Top
Published in: Acta Mechanica 9/2020

27-06-2020 | Original Paper

Dynamic stability analysis of a sandwich beam with magnetorheological elastomer core subjected to a follower force

Authors: Mohammad Rokn-Abadi, Masood Yousefi, Hassan Haddadpour, Mostafa Sadeghmanesh

Published in: Acta Mechanica | Issue 9/2020

Login to get access

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the present study, the effect of using magnetorheological elastomer materials and a magnetic field on the dynamic stability of a sandwich beam under a follower force has been investigated for various boundary conditions. The considered sandwich beam consists of a magnetorheological elastomer core constrained by elastic layers. The structural governing equations are derived using Hamilton’s principle and solved by the finite element method. The validity of the result is examined by comparison with those in the literature. The effects of variation in the parameters such as magnetic field intensity and the thickness of the layers on the stability of the sandwich beam are studied. Finally, some conclusions for the effects of the magnetic field intensity on the magnetorheological elastomer sandwich beam subjected to the follower force are discussed.
Appendix
Available only for authorised users
Literature
2.
go back to reference Beck, M.: The buckling load of the cantilever column subjected to tangential force. J. Appl. Math. Phys. 3, 225–228 (1952) Beck, M.: The buckling load of the cantilever column subjected to tangential force. J. Appl. Math. Phys. 3, 225–228 (1952)
10.
go back to reference Kerboua, M., Megnounif, A., Benguediab, M., Benrahou, K., Kaoulala, F.: Vibration control beam using piezoelectric-based smart materials. Compos. Struct. 123, 430–442 (2015)CrossRef Kerboua, M., Megnounif, A., Benguediab, M., Benrahou, K., Kaoulala, F.: Vibration control beam using piezoelectric-based smart materials. Compos. Struct. 123, 430–442 (2015)CrossRef
12.
go back to reference Seyyed, M.H., Mohsen, M.: Free vibration and forced harmonic response of an electrorheological fluid-filled sandwich plate. Smart Mater. Struct. 18(5), 055013 (2009)CrossRef Seyyed, M.H., Mohsen, M.: Free vibration and forced harmonic response of an electrorheological fluid-filled sandwich plate. Smart Mater. Struct. 18(5), 055013 (2009)CrossRef
13.
go back to reference Vianney, L.-P., Rob, P., Mike, J., Vadim, S., Zbigniew, K.: Vibration characteristics of MR cantilever sandwich beams: experimental study. Smart Mater. Struct. 19(1), 015005 (2010)CrossRef Vianney, L.-P., Rob, P., Mike, J., Vadim, S., Zbigniew, K.: Vibration characteristics of MR cantilever sandwich beams: experimental study. Smart Mater. Struct. 19(1), 015005 (2010)CrossRef
14.
go back to reference Spencer Jr., B., Dyke, S., Sain, M., Carlson, J.: Phenomenological model for magnetorheological dampers. J. Eng. Mech. 123(3), 230–238 (1997)CrossRef Spencer Jr., B., Dyke, S., Sain, M., Carlson, J.: Phenomenological model for magnetorheological dampers. J. Eng. Mech. 123(3), 230–238 (1997)CrossRef
15.
go back to reference Deng, H.-X., Gong, X.-I.: Application of Magnetorheological Elastomer to Vibration Control. In: Nonlinear Science And Complexity. pp. 462-470. World Scientific, (2007) Deng, H.-X., Gong, X.-I.: Application of Magnetorheological Elastomer to Vibration Control. In: Nonlinear Science And Complexity. pp. 462-470. World Scientific, (2007)
17.
go back to reference Nayak, B., Dwivedy, S., Murthy, K.: Dynamic analysis of magnetorheological elastomer-based sandwich beam with conductive skins under various boundary conditions. J. Sound Vib. 330(9), 1837–1859 (2011)CrossRef Nayak, B., Dwivedy, S., Murthy, K.: Dynamic analysis of magnetorheological elastomer-based sandwich beam with conductive skins under various boundary conditions. J. Sound Vib. 330(9), 1837–1859 (2011)CrossRef
19.
go back to reference Tabassian, R., Rezaeepazhand, J.: Dynamic stability of smart sandwich beams with electro-rheological core resting on elastic foundation. J. Sandwich Struct. Mater. 15(1), 25–44 (2013)CrossRef Tabassian, R., Rezaeepazhand, J.: Dynamic stability of smart sandwich beams with electro-rheological core resting on elastic foundation. J. Sandwich Struct. Mater. 15(1), 25–44 (2013)CrossRef
20.
go back to reference Seyyed, M.H., Nezami, M., Panah, M.E.A.: Supersonic flutter suppression of electrorheological fluid-based adaptive panels resting on elastic foundations using sliding mode control. Smart Mater. Struct. 21(4), 045005 (2012)CrossRef Seyyed, M.H., Nezami, M., Panah, M.E.A.: Supersonic flutter suppression of electrorheological fluid-based adaptive panels resting on elastic foundations using sliding mode control. Smart Mater. Struct. 21(4), 045005 (2012)CrossRef
25.
go back to reference Nayak, B., Dwivedy, S., Murthy, K.: Dynamic stability of a rotating sandwich beam with magnetorheological elastomer core. Eur. J. Mech. A/Solids 47, 143–155 (2014)MATHCrossRef Nayak, B., Dwivedy, S., Murthy, K.: Dynamic stability of a rotating sandwich beam with magnetorheological elastomer core. Eur. J. Mech. A/Solids 47, 143–155 (2014)MATHCrossRef
26.
go back to reference Zhou, G., Wang, Q.: Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part II: Dynamic properties. Int. J. Solids Struct. 43(17), 5403-5420 (2006) Zhou, G., Wang, Q.: Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part II: Dynamic properties. Int. J. Solids Struct. 43(17), 5403-5420 (2006)
28.
go back to reference Howson, W., Zare, A.: Exact dynamic stiffness matrix for flexural vibration of three-layered sandwich beams. J. Sound Vib. 282(3–5), 753–767 (2005)CrossRef Howson, W., Zare, A.: Exact dynamic stiffness matrix for flexural vibration of three-layered sandwich beams. J. Sound Vib. 282(3–5), 753–767 (2005)CrossRef
Metadata
Title
Dynamic stability analysis of a sandwich beam with magnetorheological elastomer core subjected to a follower force
Authors
Mohammad Rokn-Abadi
Masood Yousefi
Hassan Haddadpour
Mostafa Sadeghmanesh
Publication date
27-06-2020
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 9/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-020-02735-2

Other articles of this Issue 9/2020

Acta Mechanica 9/2020 Go to the issue

Premium Partners