Analytical Solution of the Vibration of Delaminated Bimaterial Beams Fully or Partially Supported by Elastic Foundation

Abstract:

Delaminations in structures may significantly reduce the stiffness and strength of the structure and may affect their vibration characteristics. In the present study, an analytical solution is developed to study the vibration of delaminated bimaterial beams fully or partially supported by elastic foundation. The free mode and constrained mode assumptions in delamination vibration are adopted. This is the first study on the vibration of delaminated bimaterial beam on elastic foundation. Results show that the effect of delamination on reducing natural frequency is aggravated by an increasing stiffness of elastic foundation. An empirical estimation of such effects is provided for engineers. The effects of elastic foundation on the variation of natural frequency against axial stiffness ratio and bending stiffness ratio of beams are thoroughly investigated. The analytical results of this study can serve as the benchmark for FEM and other numerical solutions.

• Periodical: Applied Mechanics and Materials (Volume 394)
• Pages: 75-79
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.394.75
• Online since: September 2013
• Authors: Yang Liu, Dong Wei Shu
• Keywords: Beam, Bimaterial, Delamination, Elastic Foundation, Vibration

References

[1] T.E. Tay: Appl Mech Rev Vol. 56 (2003), p.1–31.

[2] A. Chattopadhyay, N. Changho and D. Dragomir-Daescu: J Reinf Plast Comp Vol. 18 (1999), pp.1557-1572.

[3] D.A. Saravanos, D.A. Hopkins: J Sound Vib Vol. 192 (1996), pp.977-993.

[4] H. Luo, S. Hanagud: Int J Solids Struct Vol. 37 (2000), pp.1501-19.

[5] C.N. Della, D. Shu: J Sound Vib Vol. 282 (2005), pp.919-935.

[6] C.N. Della, D. Shu: Eur J Mech A-Solid Vol. 24 (2005), p.491–503.

[7] Y. Liu, D. Shu: Compos Part B-Eng Vol. 44 (2013), pp.733-739.

[8] F.F. Çalım: Appl Math Model Vol. 36 (2012), pp.964-973.

[9] D. Thambiratnam, Y. Zhuge: Comput Struct 60, (1996), p.971–980.

[10] S.M. Kim: Eng Struct Vol. 27 (2005), pp.869-880.

[11] J.T. Wang: J Sound Vib Vol. 84 (1982), pp.491-502.