Geodesic
An analogy of linear atom chains in seismodynamics of underground pipelines
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 69-72

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In the problem of coupled seismic vibrations of an elastic medium and a segmented pipe supplied with flexible joints, it is drawn an analogy to the linear lattice of concentrated masses. The analogy leads to a simple procedure for studying pipeline seismodynamical problems by reducing the problem for a medium to the one-dimensional one devoted to the shearing vibrations of a cylindrical layer. As examples, the equations for coupled pipeline motions are obtained with consideration of the viscoelastic properties of the medium or the viscoelastic deformation of joints. 
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     author = {M. Sh. Israilov},
     title = {An analogy of linear atom chains in seismodynamics of underground pipelines},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a14/}
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M. Sh. Israilov. An analogy of linear atom chains in seismodynamics of underground pipelines. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 69-72. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a14/