Skip to main content
SpringerLink
Log in

Damping ratios of pristine composite beam and constrained layer damped composite beam of equal stiffness

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

Constrained layer damping is one of the passive techniques to control amplitude of vibration of structural components. In the present work an attempt has been made to quantify and compare damping ratios of composite-rubber-composite sandwich beam with that of pristine composite beam having nearly the same flexural stiffness and range of frequency of vibration from 20 Hz to 100 Hz. Length and thickness of sandwich and pristine beams in order to have the same flexural stiffness and desired frequency range of vibration were specifically designed. The damping ratio of each sandwich and pristine composite beams were measured experimentally using logarithmic decay and half-power bandwidth techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

t c :

thickness of composite

t b :

thickness of rubber

t :

total thickness of the beam

b :

width of the beam

w t :

total vertical deflection

w b :

vertical deflection due to bending

w s :

vertical deflection due to shear deformation

P :

point load

E :

Young’s modulus

E r :

Young’s modulus of rubber

E c :

Young’s modulus of composite

G :

Shear modulus

υ :

Poisson’s ratio

L :

length of the beam

A :

cross-sectional area of the beam

α s :

shear correction factor

I :

area moment of inertia

G eq :

equivalent shear modulus

G r :

shear modulus of rubber

G c :

shear modulus of composite

z :

distance measured from neutral axis

k CRC :

flexural stiffness of sandwich beam

ω :

circular frequency

f :

frequency

ρ :

density

A n :

amplitude at time n

A n+1 :

amplitude at time n+1

ξ :

damping ratio

Q :

quality factor

f 1 :

lower frequency

f 2 :

upper frequency

References

  1. Kim, J. H., Shin, K. B., and Kim, J. S., “Optimum design on suspension joint parts of GFRP composite bogie frame with hshaped side beams for urban railway trains,” Int. J. Precis. Eng. Manuf., Vol. 13, No. 1, pp. 71–76, 2012.

    Article  MathSciNet  Google Scholar 

  2. Jeon, K. W. and Shin, K. B., “An experimental investigation on low-velocity impact responses of sandwich panels with the changes of impact location and the wall partition angle of honeycomb core,” Int. J. Precis. Eng. Manuf., Vol. 13, No. 10, pp. 1789–1796, 2012.

    Article  Google Scholar 

  3. Nashif, A. D., Jones, D. I. G., and Henderson, J. P., “Vibration damping,” Wiley, pp. 10–12, 1985.

    Google Scholar 

  4. Sun, C. T. and Lu, Y. P., “Vibration damping of structural elements,” Prentics Hall PTR, pp. 160–192, 1995.

    Google Scholar 

  5. Kerwin, J. E. M., “Damping of flexural waves by a constrained viscoelastic layer,” The Journal of the Acoustical Society of America, Vol. 31, No. 7, pp. 952–962, 1959.

    Article  Google Scholar 

  6. DiTaranto, R. A., “Theory of vibratory bending for elastic and viscoelastic layered finite-length beams, Journal of Applied Mechanics,” Vol. 32, No. 4, pp. 881–886, 1965.

    Article  Google Scholar 

  7. Mead, D. and Markus, S., “The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions,” Journal of Sound and Vibration, Vol. 10, No. 2, pp. 163–175, 1969.

    Article  MATH  Google Scholar 

  8. Rao, M. D. and He, S., “Dynamic analysis and design of laminated composite beams with multiple damping layers,” AIAA Journal, Vol. 31, No. 4, pp. 736–745, 1993.

    Article  Google Scholar 

  9. Zhang, S. H. and Chen, H. L., “A study on the damping characteristics of laminated composites with integral viscoelastic layers,” Composite Structures, Vol. 74, No. 1, pp. 63–69, 2006.

    Article  Google Scholar 

  10. Yu, S. C. and Huang, S. C., “Vibration of a three-layered viscoelastic sandwich circulate plate,” International Journal of Mechanical Sciences, Vol. 43, No. 10, pp. 2215–2236, 2001.

    Article  MATH  Google Scholar 

  11. Marcelin, J. L., Trompette, P., and Smati, A., “Optimal constrainedlayer damping with partial coverage,” Finite Elements in Analysis and Design, Vol. 12, No. 3-4, pp. 273–280, 1992.

    Article  MATH  Google Scholar 

  12. Zheng, H., Cai, C., and Tan, X. M., “Optimization of partial constrained layer damping treatment for vibrational energy minimization of vibrating beams, Computers and Structures,” Vol. 82, No. 29-30, pp. 2493–2507, 2004.

    Article  Google Scholar 

  13. Moreira, R. A. S., Rodrigues, J. D., and Ferreira, A. J. M., “A generalized layerwise finite element for multi-layer damping treatments,” Computational Mechanics, Vol. 37, No. 5, pp. 426–444, 2006.

    Article  MATH  Google Scholar 

  14. Moreira, R. A. S. and Rodrigues, J. D., “A layerwise model for thin soft core sandwich plates,” Computers and Structures, Vol. 84, No. 19–20, pp. 1256–1263, 2006.

    Article  Google Scholar 

  15. Advani, S. G. and Sozer, E. M., “Process modeling in composites manufacturing,” Marcel Dekker Inc., pp. 56–58, 2002.

    Book  Google Scholar 

  16. Merovitch, L., “Fundamentals of vibrations,” McGraw Hill Higher Education, pp. 95–117, 2001.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Composites Research Center, R & D E (E), Alandi Road, Dighi, Pune, India, 411 015 (Zip code)

    Ramadas Chennamsetti, Avinash Hood, Siddlingappa Guruprasad, Sajal Roy & Makarand Joshi

Authors
  1. Ramadas Chennamsetti
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Avinash Hood
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Siddlingappa Guruprasad
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Sajal Roy
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Makarand Joshi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ramadas Chennamsetti.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chennamsetti, R., Hood, A., Guruprasad, S. et al. Damping ratios of pristine composite beam and constrained layer damped composite beam of equal stiffness. Int. J. Precis. Eng. Manuf. 14, 1655–1660 (2013). https://doi.org/10.1007/s12541-013-0224-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-013-0224-6

Keywords

Search

Navigation