Journal of Vibration and Sound

Journal of Vibration and Sound

Optimization of dual dynamic vibration absorber to reduce rotor torsional vibrations

Document Type : research article

Authors
Sepehr Goodarzi 1
Abbas Rahi 2
1 Shahid Beheshti University
2 Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran
Abstract
A dynamic vibration absorber is a system with a simple structure including mass, spring and damper, which is added to the main system to reduce the range of vibrations and prevent the phenomenon of resonance. In this research, a dynamic double vibration absorber is proposed to reduce the torsional vibrations of a rotor. For this purpose, at first, the governing equations of the system are derived by the Lagrange method, and then the torsional vibrations of the system are calculated. The genetic algorithm is used to calculate the optimal parameters of the dynamic vibration absorber in resonance mode. In order to check the performance of the absorber, the results were compared with one of the previous researches, and then the range of torsional vibrations of the system in different frequency ratios for the states without absorber, with the optimal double absorber with zero damping and the optimal double absorber with damping were investigated. Then, the dimensionless vibration amplitude diagram of the system at different frequency ratios, at different distances of the absorber placement from the center of the rotor disk, is examined. Finally, the range of dimensionless vibrations of the system is investigated in the ratio of different masses of absorbers and it is concluded that increasing or decreasing the ratio of mass of absorbers compared to the optimal value increases the range of vibrations of the system in resonance mode and frequencies close to it.
Keywords
Dual dynamic vibration absorber
Torsional vibrations
Rotor
Optimization
Genetic algorithm
Subjects
[1] Frahm, Hermann. "Device for damping vibrations of bodies." U.S. Patent 989,958, issued April 18, 1911.
[2] Den Hartog, J. P., and J. Ormondroyd. "Theory of the dynamic vibration absorber." ASME J. Appl. Mech 50, no. 7 (1928): 11-22.
[3] Iwanami, Kouichi, and Kazuto Seto. "An optimum design method for the dual dynamic damper and its effectiveness." Bulletin of JSME 27, no. 231 (1984): 1965-1973.
[4] Asami, Toshihiko. "Optimal design of double-mass dynamic vibration absorbers arranged in series or in parallel." Journal of Vibration and Acoustics 139, no. 1 (2017): 011015.
[5] Shen, Yongjun, Haibo Peng, Xianghong Li, and Shaopu Yang. "Analytically optimal parameters of dynamic vibration absorber with negative stiffness." Mechanical Systems and Signal Processing 85 (2017): 193-203.
[6] Nazari, Mohammad Mahdi, and Abbas Rahi. "Parameters optimization of a nonlinear dynamic absorber for a nonlinear system." Archive of Applied Mechanics 93, no. 8 (2023): 3243-3258.
[7] Shangguan, Wen-Bin, and Xiao-Yong Pan. "Multi-mode and rubber-damped torsional vibration absorbers for engine crankshaft systems." International Journal of Vehicle Design 47, no. 1-4 (2008): 176-188.
[8] Vu, Xuan-Truong, Duy-Chinh Nguyen, Doan-Dien Khong, and Van-Canh Tong. "Closed-form solutions to the optimization of dynamic vibration absorber attached to multi-degrees-of-freedom damped linear systems under torsional excitation using the fixed-point theory." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 232, no. 2 (2018): 237-252.
 [9] Manchi, Venkateswararao, and C. Sujatha. "Torsional vibration reduction of rotating shafts for multiple orders using centrifugal double pendulum vibration absorber." Applied Acoustics 174 (2021): 107768.
[10] Cao, Yanbo, Hongliang Yao, Jinxin Dou, and Chao Wu. "Torsional vibration suppression of rotor systems using a rubber-based nonlinear energy sink." Meccanica 58, no. 4 (2023): 565-585.
[11] Xiang, Biao, and Waion Wong. "Electromagnetic vibration absorber for torsional vibration in high-speed rotational machine." Mechanical Systems and Signal Processing 140 (2020): 106639.
[12] Nguyen, Duy-Chinh. "Determination of optimal parameters of the tuned mass damper to reduce the torsional vibration of the shaft by using the principle of minimum kinetic energy." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 233, no. 2 (2019): 327-335.
[13] Shen, Yongjun, Zhaoyang Xing, Shaopu Yang, and Jianqiao Sun. "Parameters optimization for a novel dynamic vibration absorber." Mechanical Systems and Signal Processing 133 (2019): 106282.
[14] Wang, Xi, Bintang Yang, and Hu Yu. "Optimal design and experimental study of a multidynamic vibration absorber for multifrequency excitation." Journal of Vibration and Acoustics 139, no. 3 (2017): 031011.
[15] Chang, Yaopeng, Jiaxi Zhou, Kai Wang, and Daolin Xu. "A quasi-zero-stiffness dynamic vibration absorber." Journal of sound and vibration 494 (2021): 115859.
[16] Cheung, Y. L., and W. O. Wong. "Design of a non-traditional dynamic vibration absorber." The Journal of the Acoustical Society of America 126, no. 2 (2009): 564-567.
[17] Tchokogoué, Darryl, Ming Mu, Brian F. Feeny, Bruce K. Geist, and Steven W. Shaw. "The effects of gravity on the response of centrifugal pendulum vibration absorbers." Journal of Vibration and Acoustics 143, no. 6 (2021): 061011.
[18] Rao, Manchi, and C. Sujatha. "Design of centrifugal pendulum vibration absorber to reduce the axial vibration of rotating shafts for multiple orders." SAE International Journal of Passenger Cars-Mechanical Systems 13, no. 06-13-02-0007 (2020): 81-105.
[19] Kecik, Krzysztof. "Assessment of energy harvesting and vibration mitigation of a pendulum dynamic absorber." Mechanical Systems and Signal Processing 106 (2018): 198-209.