Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2013-2pp.168-177

Archive of Issues

Total articles in the database: 11223
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8011
In English (Mech. Solids): 3212

<< 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
<< Previous article | Volume 48, Issue 2 / 2013 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100