Wave reflection and transmission in composite beams

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (6) : 20-28.

FENG Yong-ming1,2，ZHOU Li2，YANG Jian-yuan1，YUAN Wan-chun2

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Abstract

Wave reflection and transmission in composite beams containing a semi-infinite delamination are studied analytically based on Timoshenko beam theory. Two extreme cases of delaminated surface conditions: non-contact（open） and fully contact（closed） delaminations, are considered respectively for a unidirectional composite beam. The analytical solution of reflection and transmission matrices for a semi-infinite delamination is derived. Then the power reflection and transmission coefficients are obtained, which depend on both frequency and the position of the delamination. Numerical results show the conservation of power transport. The power distribution is also investigated in this paper to describe the mode conversion between two flexural modes and one extensional mode. A finite element method is used to verify the validity of the analytical results.

Key words

delamination / reflection and transmission / composite beam / power transport

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FENG Yong-ming1,2，ZHOU Li2，YANG Jian-yuan1，YUAN Wan-chun2. Wave reflection and transmission in composite beams[J]. Journal of Vibration and Shock, 2016, 35(6): 20-28

References

[1] Wang J T S, Lou Y Y, Gibby J A. Vibration of split beams[J].Journal of Sound and Vibration,1982,84(4):491-502.
[2] Mujumdar P M, Suryanarayan S. Flexural vibrations of beams with delaminations[J].Journal of Sound and Vibration,1988,125(3):441-461.
[3] Rosalie S C, Vaughan M, Bremner A,et al.Variation in group velocity of Lamb waves as a tool for the detection of delamination in GLARE aluminum plate-like structure[J].Composite Structures,2004,66(1/2/3/4):77-86.
[4] Yan Y J,Yam L H.Detection of delamination damage in composite plates using energy spectrum of structural dynamic responses decomposed by wavelet analysis[J].Computers and Structures, 2004,82(4/5):347-358.
[5] Farris T N, Doyle J F. Wave propagation in a split Timoshenko beam[J].Journal of Sound and Vibration,1989,130(1): 137-147.
[6] Hayashi T, Kawashima K. Multiple reflections of Lamb waves at a delamination[J].Ultrasonics, 2002,40(1/2/3/4/5/6/7/8):193-197.
[7] Ostachowicz W, Krawczuk M, Cartmell M,et al.Wave propagation in delaminated beam[J].Computers and Structures,2004,82(6):475-483.
[8] Lase Y,Ichchou M N,Jezequel L. Energy flow analysis of bars and beams: theoretical formulations[J].Journal of Sound and Vibration, 1996,192:281-305.
[9] Pan J, Ming R,Hansen C H,et al.Experimental determination of total vibratory power transmission in an elastic beam[J]. Journal of Acoustic Society of America, 1998,104(2):898-906.
[10] Bazer J, Burridge R. Energy partition in the reflection and refraction of plane waves[J].SIAM Journal of Applied Mathematics, 1978,34(1):78-92.
[11] Wang C H, Rose L R F. Wave reflection and transmission in beams containing delamination and inhomogeneity[J].Journal of Sound and Vibration, 2003,264(4):851-872.