 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
| M. Ya. Izrailovich, "Perturbation accumulation during the transition to a periodic mode in linear time invariant systems," Mech. Solids. 39 (5), 17-20 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
17-20 |
| Title |
Perturbation accumulation during the transition to a periodic mode in linear time invariant systems |
| Author(s) |
M. Ya. Izrailovich (Moscow) |
| Abstract |
The perturbation accumulation during the transition to a periodic operating mode in linear systems with an arbitrary number of degrees of freedom is analyzed. The behavior of the systems is governed by a set of linear first-order differential equations represented in the normal (Cauchy's) form. We assume that the system is subjected to an arbitrary periodic exciting force with known period and constrained intensity. A sequence of Green's functions that describe the transient process is constructed and the norm of the corresponding linear operator is estimated. |
| References |
| 1. | V. A. Troitskii, "On the accumulation of periodic perturbations," Inzh. Zh. MTT, No. 5, pp. 22-26, 1966. |
| 2. | E. N. Rosenwasser, Vibrations in Nonlinear Systems. Method of Integral Equations [in Russian],
Nauka, Moscow, 1969. |
| 2. | E. N. Rosenwasser, Periodic
Control Systems [in Russian],
Nauka, Moscow, 1973. |
| 4. | M. Ya. Izrailovich, "Transition to periodic vibrations in linear time-invariant systems,"
Mashinovedenie, No. 1, pp. 34-38, 1976. |
|
| Received |
08 March 2002 |
| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
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