 | | 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 |
|
| << Previous article | Volume 38, Issue 5 / 2003 | Next article >> |
| V. P. Legeza, "Analysis of the dynamic behavior of a new absorber of forced vibrations of tall structures," Mech. Solids. 38 (5), 24-30 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
5 |
Pages |
24-30 |
| Title |
Analysis of the dynamic behavior of a new absorber of forced vibrations of tall structures |
| Author(s) |
V. P. Legeza (Kiev) |
| Abstract |
Dynamic behavior of a new absorber of forced low-frequency vibrations of tall structures is analyzed numerically, with Appell's methods of nonholonomic mechanics being involved. The vibration absorber consists of a heavy ball moving in a spherical hollow and is mounted on a massive base. The base together with the hollow can rotate by a small angle φ about a fixed axis. It is shown that this mechanical system belongs to the class of Chaplygin's nonholonomic systems. Forced vibrations of such a system excited by a periodic force are studied numerically in a resonant case. |
| References |
| 1. | M. F. Barshtein, N. M. Bordachev, L. Kh. Blyumina, et al.,
Dynamic Design of Structures Subject to Special Types of Excitations: A Designer's Handbook [in Russian],
Stroiizdat, Moscow, 1981. |
| 2. | S. P. Timoshenko, D. H. Young, and W. Weaver,
Vibration Problems in Engineering [Russian translations],
Mashinostroenie, Moscow, 1985. |
| 3. | V. V. Dobronravov, Fundamentals of Mechanics of Non-holonomic Systems [in Russian], Vysshaya Shkola, Moscow, 1970. |
| 4. | V. P. Legeza, "Numerical analysis of the motion of a ball in an ellipsoidal cavity with a movable upper support,"
Prikladnaya Mekhanika, Vol. 23, No. 2, pp. 96-100, 1987. |
| 5. | V. P. Legeza, "The derivation of the equations of motion of a heavy ball in a cavity of a three-axial ellipsoid and the numerical analysis of these equations,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 39-43, 1990. |
| 6. | A. I. Lur'e, Analytical Mechanics [in Russian],
Fizmatgiz, Moscow, 1961. |
| 7. | Yu. I. Neimark and N. A. Fufaev,
Dynamics of Non-holonomic Systems [in Russian],
Nauka, Moscow, 1967. |
|
| Received |
23 January 2001 |
| << Previous article | Volume 38, Issue 5 / 2003 | Next article >> |
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