Volume 20, Issue 3 (March 2020)                   Modares Mechanical Engineering 2020, 20(3): 539-551 | Back to browse issues page

XML Persian Abstract Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Mahmoudkhani S, Kolbadi-Hajikalaee S. Effect of Temperature Variation and Mass Distribution on the Optimal Design of the Constrained-Layer-Damping for a Beam. Modares Mechanical Engineering 2020; 20 (3) :539-551
URL: http://mme.modares.ac.ir/article-15-26743-en.html
1- Aerospace Engineering Department, Faculty of New Technologies & Engineering, Shahid Beheshti University, Tehran, Iran , s_mahmoudkhani@sbu.ac.ir
2- Aerospace Engineering Department, Faculty of New Technologies & Engineering, Shahid Beheshti University, Tehran, Iran
Abstract:   (5071 Views)
In this research, the vibration of a beam treated with a viscoelastic constrained-layer-damping has been studied and the effects of thermal variations and the attached lumped mass on the variation of the optimal design of the constrained layer have been investigated. For modeling the core, the second and third order polynomials were used respectively for out-of-plane and in-plane displacements, and for outer layers, the Euler-Bernoulli beam theory was used. With this modeling, the effect of the through-the-thickness normal strain in the mid-layer (core) can be included in the analyses, and the model will be applicable for studying the cases with moderately thick cores. The finite element method with 3-node elements has also been used for the solution purpose. Moreover, the viscoelastic material is assumed to be isotropic and its constitutive behavior is described by a complex shear modulus dependent on temperature and frequency. This dependence on frequency and temperature has been obtained by using the graphs of the experimental results presented in the relevant references. Numerical studies have been carried out to investigate the variation of the damping and harmonic response amplitude with the thickness of the core and the constraining layer at different temperatures. The results showed that the thermal variation could considerably change the region associated with the optimal design and the maximum damping. This implies that the range of thermal variations in the operating environment of the structure should be considered in designing a viscoelastic-damping layer. In the numerical studies, the effect of added rigid masses on changing the optimal design was investigated. The results show the necessity to consider all the added masses before designing the constrained layer damping.
Full-Text [PDF 1199 kb]   (2204 Downloads)    
Article Type: Original Research | Subject: Sonic Flow
Received: 2018/11/3 | Accepted: 2019/07/8 | Published: 2020/03/1

1. Mead DJ, Markus S. The forced vibration of a three layer, damped sandwich beam with arbitrary boundary conditions. Vibration Acoust. 1969;10(2):163-175. [Link] [DOI:10.1016/0022-460X(69)90193-X]
2. Lall AK, Asnani NT, Nakra BC. Damping analysis of partially covered sandwich beams. Journal of Sound and Vibration. 1988;123(2):247-259. [Link] [DOI:10.1016/S0022-460X(88)80109-3]
3. Cai C, Zheng H, Liu GR. Vibration analysis of a beam with PCLD Patch. Applied Acoustics. 2004;65(11):1057-1076. [Link] [DOI:10.1016/j.apacoust.2004.05.004]
4. Gao JX, Liao WH. Vibration analysis of simply supported beams with enhanced self-sensing active constrained layer damping treatments. Journal of Sound and Vibration. 2005;280(1-2):329-357. [Link] [DOI:10.1016/j.jsv.2003.12.019]
5. Kant T, Swaminathan K. Analytical solution for free vibrations for laminated composite and sandwich plates based on a higher-order refined theory. Composite Structures. 2001;53(1):73-85. [Link] [DOI:10.1016/S0263-8223(00)00180-X]
6. Frostig Y, Thomson OT. High-order free vibration of sandwich panels with a flexible core. International Journal of Solids and Structures. 2004;41(5-6):1697-1724. [Link] [DOI:10.1016/j.ijsolstr.2003.09.051]
7. Frostig Y, Baruch M. High‐order buckling analysis of sandwich beams with transversely flexible core. Journal of American Society of Civil engineering. 1993;119(3):476-495. [Link] [DOI:10.1061/(ASCE)0733-9399(1993)119:3(476)]
8. Frostig Y. Buckling of sandwich panels with a flexible core-high-order theory. International Journal of Solids and Structures. 1998;35(3-4):183-204. [Link] [DOI:10.1016/S0020-7683(97)00078-4]
9. Frostig Y, Baruch M, Vilnay O, Sheinman I. High‐order theory for sandwich‐beam behavior with transversely flexible core. Journal of American Society of Civil Cngineering. 1992;118(5):1026-1043. [Link] [DOI:10.1061/(ASCE)0733-9399(1992)118:5(1026)]
10. Frostig Y, Baruch M. Free vibration of sandwich beams with a transversely flexible core: A high order approach. Journal of Sound and Vibration. 1994;176(2):195-208. [Link] [DOI:10.1006/jsvi.1994.1368]
11. Khezrian R, Jafari AA, Khalili SMR. Forced vibration of a sandwich panel with composite layers and a FGM core. Aerospace Mechanics Journal. 2010;6(3):83-95. [Persian] [Link]
12. Hui Y, Giunta G, Belouettar S, Huang Q, Hu H, Carrera E. A free vibration analysis of three-dimensional sandwich beams using hierarchical one-dimensional finite elements. Composites Part B: Engineering. 2017;110:7-19. [Link] [DOI:10.1016/j.compositesb.2016.10.065]
13. Drake ML. Damping properties of various materials [Internet]. Dayton: University of Dayton Research Institute; 1989 [cited 2018 July 2]. Available from: https://apps.dtic.mil/dtic/tr/fulltext/u2/640465.pdf [Link]
14. Sher BR, Moreira RAS. Dimensionless analysis of constrained damping treatments. Composite Structures. 2013;99:241-254. [Link] [DOI:10.1016/j.compstruct.2012.11.037]
15. Hamdaoui M, Robin G, Jrad M, Daya EM. Optimal design of frequency dependent three-layered rectangular composite beams for low mass and high damping. Composite Structures. 2015;120:174-182. [Link] [DOI:10.1016/j.compstruct.2014.09.062]
16. Huang Z, Qin Z, Chu F. Damping mechanism of elastic-viscoelastic-elastic sandwich structures. Composite Structures. 2016;153:96-107. [Link] [DOI:10.1016/j.compstruct.2016.05.105]
17. Grewal JS. Vibration and thermal analysis and optimum design of viscoelastic sandwich beam [Dissertation]. Montréal: Concordia University; 2011. [Link]

Add your comments about this article : Your username or Email:

Send email to the article author

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.