Abstract
Dispersion of transient stress waves in the first layer of a weakly coupled semi-infinite bi-layered system is carried out. Fourier transform inversions are performed analytically by making use of the fact that the weakly coupled system possesses small propagation zones (PZs) in the frequency domain. Low- and high-frequency asymptotic approximations to the transient waves are computed, taking into account frequency components of the transfer function in the first and second PZs, respectively. The derived analytic expressions are superpositions of non-oscillating terms and convolution integrals with decaying oscillatory kernels. Depending on the frequency and the amplitude of the convolution kernels, the dispersed waves overshoot or undershoot the applied impulsive excitation. This result is of significant practical importance in the design of layered systems as stress attenuators.
Original language | English (US) |
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Title of host publication | 15th Biennial Conference on Mechanical Vibration and Noise |
Editors | K.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al |
Pages | 1471-1478 |
Number of pages | 8 |
Volume | 84 |
Edition | 3 Pt B/2 |
State | Published - 1995 |
Event | Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA Duration: Sep 17 1995 → Sep 20 1995 |
Other
Other | Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C |
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City | Boston, MA, USA |
Period | 9/17/95 → 9/20/95 |
ASJC Scopus subject areas
- Engineering(all)