Power Reflection and Transmission in Beam Structures Containing a Semi-Infinite Crack
Source abstract
Abstract
Wave reflection and transmission in a beam containing a semi-infinite crack are studied analytically based on Timoshenko beam theory. Two kinds of crack surface conditions: non-contact (open) and fully contact (closed) cracks, are considered respectively for an isotropic beam. The analytical solution of reflection and transmission coefficients for a semi-infinite crack is obtained. The power reflection and transmission ratios depend on both the frequency and the position of the crack. Numerical results show the conservation of power transport. The transmitted energy among various wave modes is also investigated. A finite element method is used to verify the validity of the analytical results.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Structural Health Monitoring Techniques · Structural Behavior of Reinforced Concrete · Structural Response to Dynamic Loads
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (7)
Show source-provided references
1. Wang, J.T.S., Lou, Y.Y. and Gibby, J.A., Vibration of split beams. Journal of Sound and Vibration, 1982, 84: 491–502.10.1016/S0022-460X(82)80030-8 ↗
2. Rosalie, S.C., Vaughan, M., Bremner, A. and Chiu, W.K., Variation in group velocity of Lamb waves as a tool for the detection of delamination in GLARE aluminum plate-like structures. Composite Structures, 2004, 66: 77–86.10.1016/j.compstruct.2004.04.024 ↗
3. Yan, Y.J. and Yam, L.H., Detection of delamination damage in composite plates using energy spectrum of structural dynamic responses decomposed by wavelet analysis. Computers and Structures, 2004, 82: 347–358.10.1016/j.compstruc.2003.11.002 ↗
4. Lase, Y., Ichchou, M.N. and Jezequel, L., Energy flow analysis of bars and beams: theoretical formulations. Journal of Sound and Vibration, 1996, 192: 281–305.10.1006/jsvi.1996.0188 ↗
5. Pan, J., Ming, R., Hansen, C.H. and Cark, R.L., Experimental determination of total vibratory power transmission in an elastic beam. Journal of Acoustic Society of America, 1998, 104: 898–906.10.1121/1.423335 ↗
6. Bazer, J. and Burridge, R., Energy partition in the reflection and refraction of plane waves. SIAM Journal of Applied Mathematics, 1978, 34: 78–92.10.1137/0134007 ↗
7. Wang, C.H. and Rose, L.R.F., Wave reflection and transmission in beams containing delamination and in-homogeneity. Journal of Sound and Vibration, 2003, 264: 851–872.10.1016/S0022-460X(02)01193-8 ↗