Study of damping in layered and welded aluminium cantilever beams of unequal thickness with interlayer slip

References

• Barnett, D. M. et al. 1988, “Slip wave along the interface between two anisotropic elastic half space in sliding contact”, Proceedings of the Royal Society of London, Series A, Vol. 415, pp. 389–419.
   Google Scholar
• Beards, C. F. 1983, “The damping of structural vibration by controlled interfacial slip in joints”, Journal of Vibration, Acoustics, Stress and Reliability in Design, Vol. 105, pp. 369-372
   Google Scholar
• Berger, E. J. 2002, “Friction modeling for dynamic system simulation”, Applied Mechanics Reviews, Vol. 55, No. 6, pp. 535–577.
   Google Scholar
• Ciavarella, M., Hills, D. A. and Monno, G. 1998, “The influence of rounded edges on indentation by flat punch”, Proceedings of the Institution of Mechanical Engineering, Part C: Journal of Mechanical Engineering Science, Vol. 212, pp. 319–327.
   Google Scholar
• Cockerham, C. & Symmons, G. R. 1976, “Stability criterion for stick-slip motion using a discontinuous dynamic friction model”, Wear, Vol. 40, pp. 113–120.
   Google Scholar
• Damisa, O., Olunloyo, V. O. S., Osheku, C. A. & Oyediran, A. A. 2007, “Static analysis of slip damping with clamped laminated beams”, European Journal of Scientific Research Vol. 17, No. 4, pp. 455–76.
   Google Scholar
• Damisa, O., Olunloyo, V. O. S., Osheku, C. A. and Oyediran, A. A. 2008, “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.
   Google Scholar
• De Silva, C. W. 2007, Vibration Damping, Control, and Design, CRC Press, Taylor and Francis Group LLC, Boca Raton.
   Google Scholar
• Earles, S. W. E. 1966, “Theoretical estimation of the frictional energy dissipation in a simple lap joint”, Journal of Mechanical Engineering Sciences, Vol. 8, pp. 207.
   Google Scholar
• Giannakopoulos, A. E., Lindley, T. C., Suresh, S. & Chenut, C. 2000, “Similarities of stress concentrations in contact at round punches and fatigue at notches: Implications to fretting fatigue crack initiation”, Fatigue & Fracture of Engineering Materials & Structures, Vol. 23 No. 7, pp. 561-571.
   Google Scholar
• Goodman, L. E. 1959, “A review of progress in analysis of interfacial slip damping, structural damping”, J. Ruzika, Ed. (ASME), New York.
   Google Scholar
• Goodman, L. E. & Klumpp, J. H. 1956, “Analysis of slip damping with reference to turbine blade vibration”, Journal of Applied Mechanics, Vol. 23, pp. 421.
   Google Scholar
• Gregory D. L., Smallwood, D. O., Coleman, R.G. & Nusser, M. A. 1999, “Experimental studies to investigate damping in frictional shear joints”, Proceedings of 70th Shock and Vibration Symposium.
   Google Scholar
• Guyan, A. et al. 1996, “Dynamic with friction, modeling, analysis and experiment”, Series on Stability, Vibration and Control of Systems, World Scientific, Singapore.
   Google Scholar
• Hansen, S. W. & Spies, R. 1997, “Structural damping in laminated beams due to interfacial slip”, Journal of Sound and Vibration, Vol. 204, No. 2, pp. 183–202.
   Google Scholar
• Hess, D. P. et al. 1992, “Normal vibrations and friction at a Hertzian contact under random excitation: Theory and experiment”, Journal of Sound and Vibration, Vol. 153, No. 3, pp. 491–508.
   Google Scholar
• Iwan, W. D. 1967, “On a class of models for the yielding behavior of continuous and composite systems”, Journal of Applied Mechanics, Vol. 89, pp. 612–617.
   Google Scholar
• Johnson, K. L. 1985, Contact mechanics, Cambridge University Press, New York.
   Google Scholar
• Masuko, M., Ito, Y. & Yoshida, K. 1973, “Theoretical analysis for a damping ratio of jointed cantibeam”, Bulletin of JSME, Vol. 16, pp. 1421–1432.
   Google Scholar
• Maugin, G. A. et al. 1994, “Interfacial waves in the presence of areas of slip”, Geophysical Journal International, Vol. 118, pp. 305–316.
   Google Scholar
• Mayer, M. A. & Gaul, L. 2007, “Segment-to-segment contact elements for modelling joint interfaces in finite element analysis”, Mechanical Systems and Signal Processing, Vol. 21, pp. 724–734.
   Google Scholar
• Motosh, M. 1975, “Stress distribution in Joints of bolted or riveted connections”, Transactions of ASME, Journal of Engineering for Industry.
   Google Scholar
• Murty, A. S. R. 1971, “On damping of thin cantilevers”, Ph.D. Thesis, Department of Mechanical Engineering, I. I. T., Kharagpur.
   Google Scholar
• Nanda, B. K. 2006, “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.
   Google Scholar
• Nanda, B. K. & Behera, A. K. 1999, “Study on damping in layered and jointed structures with uniform pressure distribution at the interfaces,” Journal of Sound and Vibration, Vol. 226, No. 4, pp. 607–624.
   Google Scholar
• Nanda, B. K. & Behera, A. K. 2000, “Damping in layered and jointed structures”, International Journal of Acoustics and Vibration, Vol. 5, No. 2, pp. 89–95.
   Google Scholar
• Nanda, B. K. & Behera, A. K. 2000, “Improvement of damping capacity of structural members using layered construction”, Proceedings of Seventh International Congress on Sound and Vibration, Garmisch-Partenkirchen, Germany, pp. 3059–3066.
   Google Scholar
• Nishiwaki, N., Masuko, M., Ito, Y. & Okumura, I. 1978, “A study on damping capacity of a jointed cantilever beam (1st Report; Experimental Results)”, Bulletin of JSME, Vol. 21, pp. 524–531.
   Google Scholar
• Segalman, D. J. 2001, “An initial overview of Iwan modeling for mechanical joints”, Report SAND 20010811, Sandia National Laboratories, Albuquerque.
   Google Scholar
• Singh, B. and Nanda, B. K. 2010, “Effect of welding on the slip damping of layered and jointed structures”, Journal of Engineering Mechanics, ASCE, Vol. 136, No. 7, pp. 928–932.
   Google Scholar
• Smallwood, D. O., Gregory D. L. & Coleman, R. G. 2001, “A three parameter constitutive model for a joint which exhibits a power law relationship between energy loss and relative displacement”, Proceedings of the 72nd Shock and Vibration Symposium.
   Google Scholar
• Smallwood, D. O., Gregory, D. L. & Coleman, R. G., 2000, “Damping investigations of a simplified frictional shear joint”, Proceedings of 71st Shock and Vibration Symposium.
   Google Scholar
• Warburton, G. B. 1976, The Dynamical Behaviour of Structures, 2nd ed., Pergamon Press Ltd., Oxford, England, pp. 204-205, 230–231.
   Google Scholar
• Ziada, H. H. & Abd, A. K. 1980, “Load pressure distribution and contact areas in bolted joints”, Institution of Engineers (India) Vol. 61, pp. 93-100.
   Google Scholar