 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 55, Issue 8 / 2020 | Next article >> |
| Sadov Yu.A. and Nuralieva A.B., "Linear Transverse Oscillations of the Space Elevator Cable," Mech. Solids. 55 (8), 1185-1193 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1185-1193 |
| DOI |
10.3103/S0025654420080245 |
| Title |
Linear Transverse Oscillations of the Space Elevator Cable |
| Author(s) |
Sadov Yu.A. (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia)
Nuralieva A.B. (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia, annanuralieva@yandex.ru) |
| Abstract |
Small transverse oscillations near the equilibrium vertical position are studied for an extralong flexible inextensible cable of a space elevator. The linear approximation shows that the oscillations in the two planes, equatorial and meridional, are separated and have identical sets of eigenfunctions, while their eigenfrequencies are connected by a simple relation. A Sturm–Liouville problem for
determining the frequencies and modes of the cable’s natural oscillations is stated. A transformation
of the problem aimed at simplifying computations is described. |
| Keywords |
space elevator, flexible inextensible cable, uniformly stressed cable, small oscillations, Sturm–Liouville problem, Prüfer substitution |
| Received |
10 October 2016 | Revised |
10 July 2020 | Accepted |
18 July 2020 |
| Link to Fulltext |
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