TY - GEN
T1 - Analytical study of dispersion of stress waves in a weakly coupled layered system
AU - Vakakis, A. F.
AU - Cetinkaya, C.
N1 - Funding Information:
The authors would like to thank Dr. Michael El-Raheb, Central Research, Dow Chemical Co, Midlands, Michigan, for recommending this problem. This work was supported in part by NSF Young Investigator Award CMS-94-57750. Dr. Devendra Garg is the Grant monitor.
Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85103465909&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85103465909&partnerID=8YFLogxK
U2 - 10.1115/DETC1995-0550
DO - 10.1115/DETC1995-0550
M3 - Conference contribution
AN - SCOPUS:85103465909
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 1471
EP - 1478
BT - 15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Y2 - 17 September 1995 through 20 September 1995
ER -