| | 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 |
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<< Previous article | Volume 48, Issue 2 / 2013 | Next article >> |
V.P. Legeza, "Efficiency of a Vibroprotection System with an Isochronous Roller Damper," Mech. Solids. 48 (2), 168-177 (2013) |
Year |
2013 |
Volume |
48 |
Number |
2 |
Pages |
168-177 |
DOI |
10.3103/S0025654413010088 |
Title |
Efficiency of a Vibroprotection System with an Isochronous Roller Damper |
Author(s) |
V.P. Legeza (National University of Life and Environmental Sciences, Heroyiv Oborony 15, Kiev, 03041 Ukraine, viktor.legeza@gmail.com) |
Abstract |
Low-frequency vibrations of a vibroprotection "roller damper-movable bearing body" system of rigid bodies under the action of an external harmonic excitation are considered. The working surface of the damper working body is formed by a
brachistochrone. The dynamic equations of common no-slip motion of the damper working body on a hinged roller and of the bearing body are formulated. The roller damper tuning parameters are determined. |
Keywords |
vibroprotection system, kinematic constraints, isochronous roller damper, bearing body, working body, brachistochrone, no-slip rolling, amplitude-frequency characteristic, tuning parameters |
References |
1. | V. P. Legeza,
"Brachistochrone for a Rolling Cylinder,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 34-41 (2010)
[Mech. Solids (Engl. Transl.)
45 (1), 27-33 (2010)]. |
2. | V. P. Legeza,
"Dynamic Model and Optimal Setup of a Vibroprotective System,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 49-61 (2010)
[Mech. Solids (Engl. Transl.)
45 (2), 194-204 (2010)]. |
3. | V. P. Legeza,
"Quickest-Descent Curve in the Problem of Rolling of a Homogeneous Cylinder,"
Prikl. Mekh.
44 (12), 131-138 (2008)
[Int. Appl. Mech. (Engl. Transl.)
44 (12), 1430-1436 (2008)]. |
4. | L. D. Akulenko,
"An Analog of the Classical Brachistochrone for a Disk,"
Dokl. Ross. Akad. Nauk
419 (2), 193-196 (2008)
[Dokl. Phys. (Engl. Transl.)
53 (3), 156-159 (2008)]. |
5. | L. D. Akulenko,
"The Brachistochrone Problem for a Disc,"
Prikl. Mat. Mekh.
73 (4), 520-530 (2009)
[J. Appl. Math. Mech. (Engl. Transl.)
73 (4), 371-378 (2009)]. |
6. | E. Rogers,
"Brachistochrone and Tautochrone Curves for Rolling Bodies,"
Am. J. Phys.
14 (4), 249-252 (1946). |
7. | I. M. Besprozvannaya, A. G. Sokolov, and G. M. Fomin,
Action of the Wind upon Tall Continuous Structures
(Stroiizdat, Moscow, 1976)
[in Russian]. |
8. | B. G. Korenev and I. M. Rabinovich (Editors),
Dynamical Calculation of Buildings under Special Interactions. Designer's Handbook
(Stroiizdat, Moscow, 1981)
[in Russian]. |
9. | B. G. Korenev and A. F. Smirnov (Editors),
Dynamical Calculations of Special Engineering Buildings and Structures. Designer's Handbook,
(Stroiizdat, Moscow, 1986)
[in Russian]. |
10. | B. G. Korenev
"Dynamical Dampers of Vibrations,"
in Proc. of Intern. Symp. "Vibroprotection in Building," Vol. 2
(Leningrad, 1984),
pp. 7-17
[in Russian]. |
11. | B. V. Ostroumov,
Studies, Development, and Implementation of High-Rise Structures with Vibrodampers,
Abstract of Doctoral Dissertation in Technical Sciences
(ZAO Mel'nikov "TsNIIPSK," Moscow, 2003)
[in Russian]. |
12. | V. P. Legeza,
"Analysis of the Dynamic Behavior of a New Absorber of Forced Vibrations of Tall Structures,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 31-38 (2003)
[Mech. Solids (Engl. Transl.)
38 (5), 24-30 (2003)]. |
13. | V. P. Legeza,
"Numerical Analysis of Plane Motion of a Ball in a Cycloidal Cavity
between Two Movable Supports,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 12-17 (2003)
[Mech. Solids (Engl. Transl.)
38 (6), 8-12 (2003)]. |
14. | V. P. Legeza,
"Dynamics of Vibroprotection Systems with a Ball-Type Low-Frequency Oscillation Absorber,"
Probl. Prochn.,
No. 3, 83-94 (2004)
[Strength of Materials (Engl. Transl.)
36 (3), 282-290 (2004)]. |
15. | V. P. Legeza,
"Application of the Theory of Roller Shock Absorbers to the Vibroprotection of Transport Structures,"
Probl. Prochn.,
No. 2, 147-155 (2006)
[Strength of Materials (Engl. Transl.)
38 (2), 214-219 (2006)] |
16. | V. P. Legeza,
"Roller Vibrodamper of Forced Vibrations of High-Rise Structures,"
Patent of Ukraine No. 54033A (17 February 2003),
F16 F7/10, E04 B1/98, Bulletin No. 2. |
17. | V. P. Legeza, N. I. Bobyr', and M. A. Martynenko,
"Roller Damper of Forced Vibrations of High-Rise Structures,"
Patent of Ukraine Patent No. 58981A (15 August 2003),
F16 F7/10, E04 B1/98, Bulletin No. 8. |
18. | A. I. Lurie,
Analytic Mechanics
(Fizmatgiz, Moscow, 1961; Springer, Berlin, 2001). |
19. | Yu. I. Neimark and N. A. Fufaev,
Dynamics of Nonholonomic Systems
(Nauka, Moscow, 1967; AMS, Providence, 1972). |
20. | N. A. Fufaev,
"A Sphere Rolling on a Horizontal Rotating Plane,"
Prikl. Mat. Mekh.
47 (1), 43-47 (1983)
[J. Appl. Math. Mech. (Engl. Transl.)
47 (1), 27-29 (1983)]. |
21. | N. A. Fufaev,
"Theory of the Motion of Systems with Rolling,"
Prikl. Mat. Mekh.
49 (1), 56-65 (1985)
[J. Appl. Math. Mech. (Engl. Transl.)
49 (1), 49-53 (1985)]. |
22. | N. A. Fufaev,
"Rolling of a Heavy Homogeneous Ball over a Rough Sphere Rotating around a Vertical Axis,"
Prikl. Mekh.
23 (1), 98-101 (1987)
[Int. Appl. Mech. (Engl. Transl.)
23 (1), 86-89 (1987)]. |
23. | M. A. Abdelkader,
"A Ball Rolling on a Rotating Plane,"
ZAMM
66 (11), 563-566 (1986). |
24. | P. Appel,
Traité de Mèchanique Rationelle
(Gauthier-Villars, Paris, 1953). |
25. | A. V. Borisov, J. S. Mamaev, and A. A. Kilin,
"Rolling of a Ball on a Surface. New Integrals and Hierarchy of Dynamics,"
Regul. Chaotic Dyn.
7 (2), 201-220 (2001). |
26. | J. A. Hermans,
"Symmetric Sphere Rolling on a Surface,"
Nonlinearity
8 (4), 493-515-566 (1995). |
27. | L. G. Lobas,
"On Rolling System,"
Prikl. Mekh.
36 (5), 139-144 (2000)
[Int. Appl. Mech. (Engl. Transl.)
36 (5), 691-696 (2000)]. |
28. | K. Magnus,
Vibrations. Introduction to Studies of Vibratory Systems
(Teubner, Stuttgart, 1976; Mir, Moscow, 1982) |
29. | J. P. Den Hartog,
Mechanical Vibrations
(McGraw-Hill, New York, 1956; Fizmatgiz, Moscow, 1960). |
30. | S. P. Timoshenko, D. H. Young, and W. Weaver,
Vibration Problems in Engineering
(Wiley, New York, 1974; Mashinostroenie, Moscow, 1985). |
31. | Ya. G. Panovko and I. I. Gubanova,
Stability and Vibrations of Elastic Systems
(Consultant Bureau, New York 1965; Nauka, Moscow, 1979). |
32. | F. S. Tse, I. E. Morse, and R. T. Hinkle,
Mechanical Vibrations
(Allyn and Bacon, Boston, 1963; Mashinostroenie, Moscow, 1966). |
33. | Building Regulations (SNiP) 2.01.07-85.
Loads and Actions. Design Standards
(Gosstroi SSSR, Moscow, 1987)
[in Russian]. |
|
Received |
24 October 2010 |
Link to Fulltext |
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