Please use this identifier to cite or link to this item:
標題: 非線性程度與雙穩態振動吸收器效能之探討
Study on Degree of Nonlinearity to Performance of Bi-stable Vibration Absorber
作者: 許庭瑞
Ting-Jui Hsu
關鍵字: 振動吸收器
vibration absorber
degree of nonlinearity
vibration control
引用: [1] F. C. Moon and P. J. Holmes, “A magnetoelastic strange attractor,” Journal of Sound and Vibration, pp 275-296, 1979. [2] J. Q. Sun, M. R. Jolly and M. A. Norris, “Passive, adaptive and active tuned vibration absorbers─a survey,” ASME Journal of Mechanical Design, Vol. 117, pp. 234-242, 1995. [3] Christopher L. Davis and George A. Lesieutre, “An actively tuned solid-state vibration absorber using capacitive shunting of piezoelectric stiffness,” Journal of Sound and Vibration, pp. 601-617, 2000. [4] Hua-xia Deng, Xing-ling Gong and Lian-hua Wang, “Development of an adaptive tuned vibration absorber with magnetorheological elastomer,” Smart Materials and Structures, Vol. 15, pp. 111-116, 2006. [5] K. V. Avramov and Y. V. Mikhlin, “Snap-through truss as a vibration absorber,” Journal of Vibration and Control, vol. 10, no. 2, pp. 291-308, 2004. [6] D. R. Johnson, Z. Wu, M. Thota and K. W. Wang, “On the systhesis of an adaptable, bordband, high damping structure via bistable snap-through elements,” 20th International Congress on Sound and Vibration, pp. 1-8, July 2013. [7] David R. Johnson, Manoj Thota, F. Semperlotti and K. W. Wang, “On achieving high and adaptable damping via bistable oscillator,” Smart Materials and Structures, Vol. 22, pp. 1-10, 2013. [8] David R. Johnson, R. L. Harne and K. W. Wang, “A disturbance cancellation perspective on vibration control using a bistable snap-trough attachment,” ASME Journal of Vibration and Acoustics, Vol. 136, 031006, 2014. [9] S. Benacchio, A. Malher, J. Boisson and C. Touze, “Design of a magnetic vibration absorber with tunable stiffnesses,” Nonlinear Dynamics, vol. 85, no. 2, pp. 893-911, 2016. [10] P. -O Mattei, R. Poncot, M. Pachebat and R. Cote, “Nonlinear targeted energy transfer of two coupled cantilever beams coupled to a bistable light attachment,” Journal of Sound and Vibration, vol. 373, pp. 29-51, 2016. [11] FEA-Opt Technology: eNews: Snap-throug phenomena [Internet], FEA-Optimization Technology, 2007 Feb 27 [cited 2017 Jun 10]. Available from: [12] Ivana Kovacic and Michael J. Brennan, “The duffing equation: nonlinear oscillators and their behaviour (1st ed.),” John Wiley & Sons, Ltd. (UK), 2011. [13] Feng-Fang Tsai, Shou-Zen Fan, Yi-Shiuan Lin, Norden E. Huang and Jia-Rong Yeh, “Investigating power density and the degree of nonlinearity in intrinsic components of anesthesia EEG by the Hilbert-Huang transform: An Example Using Ketamine and Alfentanil,” plos, 2016. [14] Norden E. Huang, Zheng Shen, Steven R. Long, Manli C. Wu, Hsing H. Shih, Quanan Zheng, Nai-Chyuan Yen, Chi Chao Tung and Henry H. Liu, “The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis,” Proceedings of the Royal Society A. vol. 454, pp. 903–995, 1998.
摘要: 雙穩態振動吸收器是種能抑制主結構因受到外部激振而產生振動的非線性振動吸收器。當外部激振在特定的力量大小和頻率範圍時,振動吸收器內部的振盪器可能會產生「單穩態」、「混沌現象」與「雙穩態」振動行為。為了定量各個振動狀態的效能,非線性程度對本系統來說是一個非常重要的指標。非線性程度可以想像成瞬時頻率的平均變化量。對於一個受到弦波外力激振的線性系統來說,非線性程度為零。而對於一個非線性系統來說,不同的激振力大小、激振頻率和振動狀態會產生不同的非線性程度。在本研究中,非線性程度被區分為不同的等級,從而分析非線性程度與振動抑制效能之間的關係。雙穩態的杜芬振動吸收器為本研究的主要目標,並探討非線性程度、激振頻率與穩定平衡點之間的關係。
Bi-stable vibration absorber is a kind of nonlinear vibration absorber which can suppress the vibration of host structure under the external excitation. The attachment in the nonlinear absorber may present “mono-stable”, “chaos” or “snap-through” behaviors when the external excitation is under the specific force and frequency range. In order to quantify the performance of the system in each state, the degree of nonlinearity is an important index for evaluating this system. The degree of nonlinearity can be imagined as the average magnitude of the instantaneous frequency. For a linear system under harmonic excitations, the degree of nonlinearity is zero. For a bi-stable system, the response presents different degrees of nonlinearity with different vibration states, different input force magnitude and different excitation frequency range. In this research, the degree of nonlinearity is classified into different ranks, and then the relationships between the degree of nonlinearity and vibration absorbing performance can be analyzed. A negative linear-positive cubic duffing absorber was employed as the objective model in this study. The relationships among the degree of nonlinearity, the excitation frequency and the stable equilibrium points were discussed.
文章公開時間: 2020-08-30
Appears in Collections:機械工程學系所



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.