Vibration Attenuation in Layered and Welded Beams with Unequal Thickness
In built-up structures, one of the effective ways of
dissipating unwanted vibration is to exploit the occurrence of slip at
the interfaces of structural laminates. The present work focuses on
the dynamic analysis of welded structures. A mathematical
formulation has been developed for the mechanism of slip damping
in layered and welded mild steel beams with unequal thickness
subjected to both periodic and non-periodic forces. It is observed that
a number of vital parameters such as; thickness ratio, pressure
distribution characteristics, relative slip and kinematic co-efficient of
friction at the interfaces, nature of exciting forces, length and
thickness of the beam specimen govern the damping characteristics of
these structures. Experimental verification has been carried out to
validate the analysis and study the effect of these parameters. The
developed damping model for the structure is found to be in fairly
good agreement with the measured data. Finally, the results of the
analysis are discussed and rationalized.
[1] L. E. Goodman and J. H. Klumpp, "Analysis of slip damping with
reference to turbine blade vibration," Journal of Applied Mechanics,
vol. 23, pp. 421-429, 1956.
[2] L. E. Goodman, "A Review of Progress in Analysis of Interfacial Slip
Damping," Proceedings of the ASME Colloquium on Structural
Damping, New York, pp. 35-48, 1959.
[3] S. W. E. Earles, "Theoretical Estimation of the Frictional Energy
Dissipation in a Simple Lap Joint," Journal of Mechanical Engineering
Sciences, vol. 8, pp. 207, 1966.
[4] A.S. R. Murty, "On damping of thin cantilevers." Ph.D. Thesis,
Department of Mechanical Engineering, I. I. T., Kharagpur, 1971.
[5] M. Masuko, Y. Ito, and K. Yoshida, "Theoretical analysis for a damping
ratio of jointed cantibeam," Bulletin of Japanese Society of Mechanical
Engineers, vol. 16, pp. 1421-1432, 1973.
[6] N. Nishiwaki, M. Masuko, Y. Ito, and I. Okumura, "A study on
damping capacity of a jointed cantilever beam (1st Report;
Experimental Results)," Bulletin of Japanese Society of Mechanical
Engineers, vol. 21, pp. 524-531, 1978.
[7] B. K. Nanda, "Study of the effect of bolt diameter and washer on
damping in layered and jointed structures," Journal of Sound and
Vibration, vol. 290, pp. 1290-1314, 2006.
[8] H. H. Ziada and A. K. Abd, "Load pressure distribution and contact
areas in bolted joints," Institution of Engineers (India), vol. 61, pp. 93-
100, 1980.
[9] O. Damisa, V. O. S. Olunloyo, C. A. Osheku, and A. A. Oyediran,
"Static analysis of slip damping with clamped laminated beams,"
European Journal of Scientific Research, vol. 17, no. 4, pp. 455-476,
2007.
[10] O. Damisa, V. O. S. Olunloyo, C. A. Osheku, and A. A. Oyediran,
"Dynamic analysis of slip damping in clamped layered beams with nonuniform
pressure distribution at the interface," Journal of Sound and
Vibration, vol. 309, pp. 349-374, 2008.
[11] B. Singh and B. K. Nanda, "Effect of welding on the slip damping of
layered and jointed structures," Journal of Engineering Mechanics,
ASCE, vol. 136, no. 7, pp. 928-932, 2010.
[12] K. L. Johnson, Contact mechanics, Cambridge University Press, New
York, 1985.
[13] A.E. Giannakopoulos, T. C. Lindley, S. Suresh, and C. Chenut,
"Similarities of stress concentrations in contact at round punches and
fatigue at notches: Implications to fretting fatigue crack initiation,"
Fatigue Fracture in Engineering Materials and Structures, vol. 23,
no.7, pp. 561-571, 2000.
[14] S. Timoshenko, Vibration Problems in Engineering, Van Norstrand Co,
Inc, 3rd Edition, pp. 371, 1955.
[1] L. E. Goodman and J. H. Klumpp, "Analysis of slip damping with
reference to turbine blade vibration," Journal of Applied Mechanics,
vol. 23, pp. 421-429, 1956.
[2] L. E. Goodman, "A Review of Progress in Analysis of Interfacial Slip
Damping," Proceedings of the ASME Colloquium on Structural
Damping, New York, pp. 35-48, 1959.
[3] S. W. E. Earles, "Theoretical Estimation of the Frictional Energy
Dissipation in a Simple Lap Joint," Journal of Mechanical Engineering
Sciences, vol. 8, pp. 207, 1966.
[4] A.S. R. Murty, "On damping of thin cantilevers." Ph.D. Thesis,
Department of Mechanical Engineering, I. I. T., Kharagpur, 1971.
[5] M. Masuko, Y. Ito, and K. Yoshida, "Theoretical analysis for a damping
ratio of jointed cantibeam," Bulletin of Japanese Society of Mechanical
Engineers, vol. 16, pp. 1421-1432, 1973.
[6] N. Nishiwaki, M. Masuko, Y. Ito, and I. Okumura, "A study on
damping capacity of a jointed cantilever beam (1st Report;
Experimental Results)," Bulletin of Japanese Society of Mechanical
Engineers, vol. 21, pp. 524-531, 1978.
[7] B. K. Nanda, "Study of the effect of bolt diameter and washer on
damping in layered and jointed structures," Journal of Sound and
Vibration, vol. 290, pp. 1290-1314, 2006.
[8] H. H. Ziada and A. K. Abd, "Load pressure distribution and contact
areas in bolted joints," Institution of Engineers (India), vol. 61, pp. 93-
100, 1980.
[9] O. Damisa, V. O. S. Olunloyo, C. A. Osheku, and A. A. Oyediran,
"Static analysis of slip damping with clamped laminated beams,"
European Journal of Scientific Research, vol. 17, no. 4, pp. 455-476,
2007.
[10] O. Damisa, V. O. S. Olunloyo, C. A. Osheku, and A. A. Oyediran,
"Dynamic analysis of slip damping in clamped layered beams with nonuniform
pressure distribution at the interface," Journal of Sound and
Vibration, vol. 309, pp. 349-374, 2008.
[11] B. Singh and B. K. Nanda, "Effect of welding on the slip damping of
layered and jointed structures," Journal of Engineering Mechanics,
ASCE, vol. 136, no. 7, pp. 928-932, 2010.
[12] K. L. Johnson, Contact mechanics, Cambridge University Press, New
York, 1985.
[13] A.E. Giannakopoulos, T. C. Lindley, S. Suresh, and C. Chenut,
"Similarities of stress concentrations in contact at round punches and
fatigue at notches: Implications to fretting fatigue crack initiation,"
Fatigue Fracture in Engineering Materials and Structures, vol. 23,
no.7, pp. 561-571, 2000.
[14] S. Timoshenko, Vibration Problems in Engineering, Van Norstrand Co,
Inc, 3rd Edition, pp. 371, 1955.
@article{"International Journal of Architectural, Civil and Construction Sciences:58026", author = "B. Singh and K. K. Agrawal and B. K. Nanda", title = "Vibration Attenuation in Layered and Welded Beams with Unequal Thickness", abstract = "In built-up structures, one of the effective ways of
dissipating unwanted vibration is to exploit the occurrence of slip at
the interfaces of structural laminates. The present work focuses on
the dynamic analysis of welded structures. A mathematical
formulation has been developed for the mechanism of slip damping
in layered and welded mild steel beams with unequal thickness
subjected to both periodic and non-periodic forces. It is observed that
a number of vital parameters such as; thickness ratio, pressure
distribution characteristics, relative slip and kinematic co-efficient of
friction at the interfaces, nature of exciting forces, length and
thickness of the beam specimen govern the damping characteristics of
these structures. Experimental verification has been carried out to
validate the analysis and study the effect of these parameters. The
developed damping model for the structure is found to be in fairly
good agreement with the measured data. Finally, the results of the
analysis are discussed and rationalized.", keywords = "Slip damping, tack welded joint, thickness ratio, inplane
bending stress", volume = "6", number = "8", pages = "628-10", }