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Free Vibration Analysis of various Viscoelastic Sandwich Beams

Affiliations

  • Department of Mechanical Engineering, Faculty of Science and Technology, IFHE University, Hyderabad - 501203, Telangana, India
  • Department of Mechanical Engineering, JNTU College of Engineering, Hyderabad - 500085, Telangana, India

Abstract


Background/Objectives: Constrained Layer Damping (CLD) is an effective passive damping technique to suppress the vibrations using to analyze the vibration behaviour of viscoelastic sandwich beams. A Sandwich beam contains two face layers at top and bottom, one core layer of viscoelastic material. Methods/Statistical Analysis: In this paper free vibration analysis has been carried out on various viscoelastic sandwich beams likes Al-NR-Al, Al-NeR-Al, MS-NRMS and MS-NeR-MS under four edge conditions viz., clamped-free, clamped - clamped, clamped-simply supported and simply supported-simply supported. Analytical solutions are to be carried out using Euler-Bernoulli’s theory and Newton- Raphson method has to be adopted to investigate the natural frequencies of various sandwich beams. Findings: The beam’s natural frequencies for different mode numbers with face material as aluminium and core as polyurethane rigid for analysis of fixed free sandwich beam and observed that as mode number increases natural frequencies increases due to non dimensional number increases. And found that the higher natural frequencies obtained for clamped-clamped condition of Al-NR-Al sandwich model for various edge conditions such as conditions like clamped-free, clamped - clamped, clamped -SS and SS-SS. As mode numbers increase the modal behaviour shows diverging nature because of the effect of eigenvalue. The maximum percentage variation in natural frequency from fixed-fixed and fixed-free condition is 26.35. Improvements: The higher natural frequencies are obtained when mild steel is used as face material. The natural frequencies were reduced when neoprene rubber was used as core material.

Keywords

CLD, Free Vibration, Natural Frequency, Passive Damping, Sandwich Beam, Viscoelastic.

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References


  • DiTaranto RA. Theory of vibratory bending for elastic and viscoelastic layered finite-length beams, Journal of Applied Mechanics. 1965; 32(4):881–6.
  • Jones IW, Salerno NL, Savacchiop A. An analytical and experimental evaluation of the damping capacity of sandwich beams with viscoelastic cores. Trans of ASME Journal of Engineering for Industry. 1967; 89(3):438–45.
  • Chatterjee A, Baumgarten JR. An analysis of viscoelastic damping characteristics of a simply supported sandwich beam. Trans of ASME Journal of Engineering for Industry. 1971; 93(4):1239–44.
  • Ahmed KH. Free vibration of curved sandwich beams by the method of finite elements. Journal of Sound Vibrations. 1971; 18(1):61–74.
  • Rao YVKS. Vibration of dual core sandwich beams. Journal of Sound and Vibration. 1974; 32(2):175–87.
  • Lall AK, Asnani NT, Nakra BC. Damping analysis of partially covered sandwich beams. Journal of Sound and Vibration. 1988; 123(2):247–59.
  • Dewa H, Okada Y, Nagai B. Damping characteristics of flexural vibration for partially covered beams with constrained viscoelastic layers. JSME International Journal, Series III. 1991; 34(2):210–7.
  • He S, Rao MD. Vibration and damping analysis of multi span sandwich beams with arbitrary boundary conditions, Trans of the ASME, Journal of Vibration and Acoustics. 1993; 164(1):125–42.
  • Mace M. Damping of beam vibrations by means of a thin constrained viscoelastic layer: Evaluation of new theory. Journal of Sound Vibrations. 1994; 172(5):577–91.
  • Bhimaraddi A. Sandwich beam theory and the analysis of constrained layer damping. Journal of Sound and Vibration. 1995; 179(4):591–602.
  • Sakiyama T, et al. Free vibration analysis of sandwich Beam with elastic or viscoelastic core by applying the discrete green function. Journal of Sound and Vibration. 1996; 191(2):189–206.
  • Fasana A, Marchesiello S. Rayleigh-Ritz analysis of sandwich beams. Journal of Sound and Vibration. 2001; 241(4):643–52.
  • Banerjee JR. Free vibration of sandwich beams using the dynamic stiffness method. Computers and structures. 2003; 81(18-19):1915–22.
  • Daya EM, Azrar L, Potier-Ferry M. An amplitude equation for the non-linear vibration of viscoelastically damped sandwich beams. Journal of Sound and Vibration. 2004; 271(3):789–813.
  • Banerjee JR, Sobey AJ. Dynamic stiffness formulation and free vibration analysis of a three-layered sandwich beam. International Journal of Solids and Structures. 2005; 42(8):2181–97.
  • Banerjee JR, et al. Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment. International Journal of Solids and Structures. 2007; 44(22-23):7543–63.
  • Barbosa FS, Farage MCR. A finite element model for sandwich viscoelastic beams: Experimental and numerical assessment. Journal of Sound and Vibration. 2008; 317(12):91–111.
  • Amirani MC, Khalili SMR, Nemati N. Free vibration analysis of sandwich beam with FG core using the element fee Galerkin method. Composite Structures. 2009; 90(3):373– 9.
  • Salam MA, Bondok NE. Free vibration characteristics for different configurations of sandwich beams. International Journal of Mechanical and Mechatronics Engineering. 2010; 10(3):27–36.
  • Khalili SMR, Damanpack AR, Nemati N, Malekzadeh K. Free vibration analysis of sandwich beam carrying sprung masses. International Journal of Mechanical Sciences. 2010; 52(12):1620–33.
  • Kalaivani R, Sudhagar K, Lakshmi P. Neural network based vibration control for vehicle active suspension system. Indian Journal of Science and Technology. 2016; 9(1):1–8.
  • Sharma A, Sharma AK, Raghav AK, Kumar V. Effect of vibration on orthotropic visco-elastic rectangular plate with two dimensional temperature and thickness variation. Indian Journal of Science and Technology. 2016; 9(2):1–7.
  • Aleksandrov VI, Avksentiev SY. Vibration-based diagnostics of slurry pump technical state. Indian Journal of Science and Technology. 2016; 9(5):1–7.

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