Abstract
The study focuses on the pendulum-type wave propagation in an assembly of steel rods parted alternatively by rubber and foam plastic and exposed to impulse loading. The proposed numerical model describes this system as a chain of masses linked by elastic springs and viscous damping elements. At large times from the loading onset, the asymptotical estimates of velocities and accelerations of the masses are obtained. The numerical calculations, analytical solutions and experimental data are compared, and the domain of applicability of the analytical evaluations is delimited. The authors show that this model adequately describes perturbations in the system of rods with alternating visco-elastic partings.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. A. Sadovsky, “Natural lumpiness of rocks,” Dokl. AN SSSR, 247, No. 4 (1979).
M. V. Kurlenya, V. N. Oparin, and A. A. Eremenko, “Relation of linear block dimensions of rock to crack opening in the structural hierarchy of masses,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1993).
M. V. Kurlenya, V. N. Oparin, and V. I. Vostrikov, “Formation of elastic wave packages in block media under impulse excitation. Pendulum-type waves V μ,” Dokl. AN SSSR, 333, No. 4 (1993).
M. V. Kurlenya, V. N. Oparin, and V. I. Vostrikov, “Pendulum-type waves. Part I: Study of the problem and measuring instrument and computer complexes,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (1996).
M. V. Kurlenya, V. N. Oparin, and V. I. Vostrikov, “Pendulum-type waves. Part II: Experimental methods and main results of physical modeling,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 4 (1996).
M. V. Kurlenya, V. N. Oparin, V. I. Vostrikov, V. V. Arshavskii, and N. Mamadaliev, “Pendulu-type waves. PartIII: data of on-site observations,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 5 (1996).
N. I. Aleksandrova, “Elastic wave propagation in block medium under impulse loading,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 6 (2003).
N. I. Aleksandrova and E. N. Sher, “Modeling of wave propagation in block media,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 6 (2004).
N. I. Aleksandrova, A. G. Chernikov, and E. N. Sher, “Experimental investigation into the one-dimensional calculated model of wave propagation in block medium,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 3 (2005).
E. N. Sher, N. I. Aleksandrova, M. V. Ayzenberg-Stepanenko, and A. G. Chernikov, “Influence of the block-hierarchical structure of rocks on the peculiarities of seismic wave propagation,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 6 (2007).
L. I. Slepyan, Non-Stationary Elastic Waves [in Russian], Sudostroenie, Moscow (1972).
E. Yanke, F. Emde, and F. Lesh, Special Functions [in Russian], Nauka, Moscow (1968).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 3, pp. 3–13, May–June, 2008.
Rights and permissions
About this article
Cite this article
Aleksandrova, N.I., Sher, E.N. & Chernikov, A.G. Effect of viscosity of partings in block-hierarchical media on propagation of low-frequency pendulum waves. J Min Sci 44, 225–234 (2008). https://doi.org/10.1007/s10913-008-0012-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10913-008-0012-3