OPTIMAL PARAMETERS OF MULTIPLE TUNED MASS DAMPERS FOR DAMPED PRIMARY SYSTEMBY FIXED POINT THEORY METHOD

  • Vu Duc Phuc Hung Yen University of Technology and Education
  • Nguyen Quang Viet Sao Do University
  • Nguyen Van Hang Sao Do University
  • Nguyen Minh Tuan Hung Yen University of Technology and Education
Keywords: Multiple Dynamic vibration Absorbers, Passive vibration Control, Optimization of multiple

Abstract

The fixed point theory has been applied to the optimal design of dynamic vibration absorbers parameters for undemped structure. With damped structure the installation of many dampers the same is often resolved by numerical methods. This paper uses the equivalent of the damped structure to undemped structure and the fixed point theory to optimize the parameters of the dynamic vibration absorbers. The approximate analytical expressions of the optimal damping ratio and the optimal tuning ratio for the same MTMD system are given. The results are applied to reduce vibration for the diesel engine model. The frequency response of MTMD and single TMS system is compared has shows that with the same mass ratio, the efficiency of MTMD systems and single TMD is similar. Time response of the primary system without TMD and with TMD clearly demonstrate the efficiency when using MTMD to reduce vibration for machines and structure.

References

Nguyễn Văn Khang (2005), Dao động kỹ thuật, NXB Khoa học và Kỹ thuật, Hà Nội.

J. P. Den Hartog ( 1947), Mechanical Vibration, McGraw–Hill, New York.

Nguyễn Đông Anh, Lã Đức Việt (2007), Giảm dao động bằng thiết bị tiêu tán năng lượng, NXB Khoa học tự nhiên và Công nghệ, Hà Nội.

L. Zuo and S. A. Nayfeh (2005), “Optimization of the Individual Stiffness and Damping Parameters in Multiple-TunedMass Damper Systems’’, Journal of Vibration and Acoustics, 127 (1), pp.77-83.

Yuh-Yi Lin, Chii-Ming Cheng and David Sun, “Wind - Induced Vibration Control of Long Span Bridges by Multiple Tuned Mass Dampers’’, Tamkang Journal of Science and Engineering, Vol. 3, No. 1, pp. 1-13 (2000).

Ghosh, A. and Basu, B., ‘‘A closed-form Optimal Tuning Criterion for TMD in Damped Structures,’’ Structural Control and Health Monitoring, Vol. 14, pp. 681–692, 2007

TP Bandivadekar and RS Jangid, “Optimization of Multiple Tuned Mass Dampers for Vibration Control of System under External Excitation’’, Journal of Vibration and Control 19(12) 1854–1871

R. S. Jangid, “Optimum Multiple Tuned Mass Dampers for Base-excited Undamped System”, Earthquake engineering and structural dynamic 28, 1041}1049 (1999).

A.S. Joshi and R.S. Jangid, “Optimum Parameters of Multiple Tuned Mass Dampers for Baseexcited”, Journal of Sound and Vibration (1997) 202(5), 657–667.

Nam Hoang*;† and Pennung Warnitchai, “Design of Multiple Tuned Mass Dampers by Using a Numerical Optimizer’’, Earthquake engineering and structural dynamic 2005; 34:125–144

T. Igusa and K.Xu, “Vibration Control Using Multiple, Tuned Mass Dampers’’, Journal of Sound and vibration (1994) 175(4) 491-503.

Chunxiang Li, “Optimum Multiple Tuned Mass Dampers for Structures under the Ground Acceleration based on DDMF and ADMF’’, Earthquake engineering and structural dynamic 2002; 31:897–919.

Brock, J. E., ‘‘A Note on the Damped Vibration Absorber,’’ Journal of Applied Mechanics, Vol. 68, pp. A-284, 1946.

ND Anh và NX Nguyen, “Design of Non-traditional Dynamic Vibration Absorber for Damped Linear Structures’’, Jounal of Mechanical Engineering Science 2014, Vol 228(1), pp 45–55.

Nguyễn Đức Thị Thu Định (2015), Nghiên cứu ứng dụng hệ giảm chấn chất lỏng trong kiểm soát dao động cho cầu dây văng tại Việt Nam, Luận án tiến sĩ kỹ thuật, Trường Đại học Giao thông Vận tải.

Jasem M. Alrajhi, Ahmed Abed, “Effect of Non-linear Damper in Dynamic Vibration Absorber Behavior’’, Universal Journal of Mechanical Engineering 2(5): 155-157, 2014.

Published
2017-07-10
How to Cite
Vu Duc Phuc, Nguyen Quang Viet, Nguyen Van Hang, & Nguyen Minh Tuan. (2017). OPTIMAL PARAMETERS OF MULTIPLE TUNED MASS DAMPERS FOR DAMPED PRIMARY SYSTEMBY FIXED POINT THEORY METHOD. UTEHY Journal of Science and Technology, 14, 9-15. Retrieved from http://tapchi.utehy.edu.vn/index.php/jst/article/view/179