 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| A. P. Malyshev, "Modeling of distributed structural damping for steady-state and transient processes," Mech. Solids. 36 (4), 114-120 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
4 |
Pages |
114-120 |
| Title |
Modeling of distributed structural damping for steady-state and transient processes |
| Author(s) |
A. P. Malyshev (Moscow) |
| Abstract |
Modern methods for the description of structural damping, in the case of
the decrement of oscillations being independent of their frequency and
determined mostly by their amplitude, are primarily aimed at nearly
harmonic periodic processes [1-4]. These methods are mostly based on
various approximations of the hysteresis curve or the direct
computation of energy loss according to Coulomb-Amonton dry friction law.
The latter approach was used for the investigation of transient wave
processes and, as a result, many important and interesting problems were
solved [5]. However, the limitations of practical application of the
simplest dry friction model are quite obvious.
The method proposed in the present paper
for the description of structural damping allows us to model friction loss
in the case of any temporal behavior of a dynamical process,
to take into account the dependence of dissipative forces on the amplitude
and their arbitrary distribution over the structure. |
| References |
| 1. | S. P. Timoshenko, Vibrations in Engineering [Russian translation],
Nauka, Moscow, 1967. |
| 2. | Ya. G. Panovko,
Internal Friction in Vibrating Elastic Systems [in Russian],
Fizmatgiz, Moscow, 1960. |
| 3. | E. S. Sorokin, On the Theory of Internal Friction in
Vibrating Elastic Systems [in Russian], Gosstroiizdat, Moscow, 1960. |
| 4. | G. S. Pisarenko,
A Generalized Nonlinear Model with Energy Dissipation in Vibrating Systems [in Russian],
Naukova Dumka, Kiev, 1985. |
| 5. | L. V. Nikitin, Statics and Dynamics of Solid Bodies with External
Dry Friction [in Russian], Mosk. Litsei, Moscow, 1998. |
| 6. | A. P. Malyshev, "Numerical simulation of wave processes in
a beam interacting with a rough surface," Izv. AN. MTT [Mechanics of
Solids], No. 6, pp. 149-155, 1998. |
| 7. | L. V. Nikitin, "Wave propagation in an elastic rod
with dry friction", Inzh. Zhurn., Vol. 3, No. 1, pp. 126-130, 1963. |
|
| Received |
08 April 1999 |
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