IJSTR

International Journal of Scientific & Technology Research

IJSTR@Facebook IJSTR@Twitter IJSTR@Linkedin
Home About Us Scope Editorial Board Blog/Latest News Contact Us
CALL FOR PAPERS
AUTHORS
DOWNLOADS
CONTACT
QR CODE
IJSTR-QR Code

IJSTR >> Volume 3- Issue 9, September 2014 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Minimax Optimization Of Dynamic Pendulum Absorbers For A Damped Primary System

[Full Text]

 

AUTHOR(S)

Mohammed A. Abdel-Hafiz, Galal A. Hassaan

 

KEYWORDS

Index Terms—Minimax optimization procedure, damped primary system, classical pendulum absorber, pendulum torsional spring absorber, dual pendulum absorber.

 

ABSTRACT

Abstract— In this paper, a minimax optimization procedure for dynamic vibration pendulum absorbers used with damped primary system is developed. An optimization problem is formulated providing the parameters of a pendulum absorber which can minimize the primary system vibration amplitude and decrease the sensitivity of the primary system response to uncertainties of excitation frequency. Three types of pendulum absorber are investigated: classical pendulum, pendulum-torsional spring and dual pendulum. The benefits of using the different types of pendulum vibration absorber are presented and the main system frequency response is compared leading to a recommendation about the most suitable type to a specific application.

 

REFERENCES

[1] P. Watts, "On a method of reducing the rolling of ships at sea", Tran. Institut. Naval Arch. , Vol.24, pp.165–190 , 1883.

[2] H. Frahm, "Device for damping vibrations of bodies", U.S. Patent No. 989958 , 1909.

[3] A.Kareem and T. Kijewski,, "Mitigation of motion of tall buildings with specific examples of recent applications", Wind and Structures, Vol.2, No.3, pp.201-251, 1999.

[4] Y. Khazanov, "Dynamic vibration absorbers- application with variable speed machines", Pumps and Systems, pp.114-119, August 2007.

[5] Den Hartog, Mechanical Vibrations. McGraw-Hill, New York(1934)

[6] S. E. Randall, "Optimum vibration absorbers for linear damped systems", J. Mech. Design , Vol.103, pp.908–913 , 1981

[7] E. Pennestrı, "An application of Chebyshev’s min-max criterion to the optimal design of damped dynamic vibration absorber", .J. Sound and Vibration, Vol. 217, pp.757–765 , 1998.

[8] B. Brown and T. Singh, " Minimax design of vibration absorber for linear damped systems", J. Sound and Vibration, Vol. 330, pp.2437–2448 , 2010.

[9] S. Miller, "The development of nonlinear elastomeric adaptive tunjed vibration absorber", M.Sc. Thesis, The Faculty of Royan University, NJ, USA, October 2003..

[10] J. Bonsel, R. Fey and H. Nijmeijer, “Application of a dynamic vibration absorber to piecewise linear beam system”, Nonlinear Dynamics, Vol.37, pp.227-243, 2004.

[11] P. Varpasuo, “Solution strategies for FPK-equation using standard FEM software for diffusion problems”, Rakenteiden Mekaniikka, Vol.39, No.1, pp.5-11, 2006.

[12] S. Jang et.al., “A study of the design of a cantilever type multi-DOF dynamic vibration absorber for micro machine tools”, 14th International Congress on Sound and Vibration, Cairns, Australia, 9-12 July 2007..

[13] M. Ozkan, “Dynamic response of beams with passive tuned mass dampers”, M.Sc. Thesis, Faculty of Purdue University, West Lafayette, Indiana, USA, May 2010.

[14] G. Liao, X. Gong, C. Kang and S. Xuan, “The design of an active-adaptive tuned vibration absorber based on magneto rheological elastomer and its vibration attenuation performance”, Smart Materials and Structures, Vol.20, pp.1-10, 2011.

[15] R. Mirsanei, A. Hajikhani, B. Peykari and J. Hamedi, “Developing a new design for adaptive tuned dynamic vibration absorber based on smart crank-slider mechanism to control undesirable vibrations”, International Journal of Mechanical Engineering and Mechatronics, Vol.1, No.1, pp.80-87. 2012.

[16] Y. Shen and M. Ahmadian , “Nonlinear dynamical analysis on four semi-active dynamic vibration absorbers with time delay”, Shock and Vibration, Vol.20, pp.649-663, 2013.

[17] S. Huang and K. Lin , “A new design of vibration absorber for periodic excitation”, Shock and Vibration, Vol. 2014, Article ID 571421, 2014..

[18] G. A. Hassaan, “Optimal design of a vibration absorber-harvester dynamic system”, International Journal of Research in Engineering and Technology, Vol.3, No.6, pp.325-329, 2014.

[19] T. Ikeda, "Nonlinear responses of dual-pendulum dynamic absorbers", Journal of Computational and Nonlinear Dynamics, Vol.6, 011012, 2011.

[20] P. Brzeski, P. Perlikowski, S. Yanchuk, T. Kapitaniak, "The dynamics of the pendulum suspended on the forced Duffing oscillator", Journal of Sound and Vibration, Vol.331, pp.5347-5357, 2012.

[21] J. Fang, Q. Wang and S. Wang, "Optimal design of vibration absorber using minimax criterion with simplified constraints", Acta Mech. Sin., Vol.28, No. 3, pp.848-853, 2012.