本研究探討吸振器之吸振與振能回收之最佳化研究，首先推導吸振器之運動方程式，並定義吸振指標，了解影響主系統功率之參數，分別為質量比、頻率比與阻尼比。經由改變參數，掌握主系統功率的變化趨勢，接著利用吸振系統兩質塊之相對振幅推導出阻尼回收振能功率，並定義功率回收指標藉以分析功率回收效應。之後進行最佳化分析，比較在不同趨動頻寬之下，各參數對吸振器之吸振與振能回收效應的趨勢走向。並依本文兩指標之定義，提出吸振效應與功率回收效應兼具之下之最佳狀態設計參數値，提供使用者一設計參考。文章最後列舉未來可行之建議研究方向。

The purpose of this thesis is to explore the tuned mass absorber on optimization of vibration absorption and power harvesting. First, by driving the equation of motion, the parameters of the main system power were obtained, and they are mass ratio, frequency ratio, and damping ratio. And by changing the parameters, the changing tendency of the main system power were then gained. Afterward, utilizing the relative amplitude of the absorber and main system to drive vibration power harvesting by damping, and define power harvesting index to analyze the effects. Next, we analyzed the optimization in order to compare the absorptions and power harvesting effects of the absorbers for ever parameters in different driving frequencies. Besides, the optimal design values of the absorption and power harvesting effects are also presented by the way of numerical results. In the end of the paper, some suggestions of future study are also provided.

參 考 文 獻

[1] J. P. Den Hartog, Mechanical Vibration, 4th edition, McGraw-Hill, New York(1956).
[2] A. G. Thompson, Auxiliary Mass Throw in a Tuned and Damped Vibration Absorber, Journal of Sound and Vibration, Vol. 70, pp. 481-486(1980).
[3] F. M. Lewis, The Extended Theory of the Viscous Vibration Damper, Journal of Applied Mechanics, pp. 377-382(1955).
[4] J. C. Snowdon, Dynamic Vibration Absorbers That Have Increased Effectiveness, Journal of Engineering for Industry, pp. 940-945(1974).
[5] T. Ioi and K. Ikeda, On the Dynamic Damped Absorber of the Vibration System, Bull. Japan Society of Mechanical Engineering, Vol. 21, pp. 64-71(1978).
[6] G. B. Warburton, Optimum Absorber Parameters for Minimizing Vibration Response, Earthquake Engineering and Structural Dynamics, Vol. 9, pp. 251-262(1981).
[7] J. E. Brock, A Note on the Damped Vibration Absorber, Journal of Applied Mechanics, vol. 68, pp. A-284(1946).
[8] V. A. Bapat and P. Prabhu, Optimum Design of Lanchester Damper for a Viscously Damped Single Degree of Freedom System Using Minimum Force Transmissibility Criterion, Journal of Sound and Vibration, Vol. 67, pp. 113-119(1979).
[9] B. G. Korenev and L. M. Reznilov, Dynamic Vibration Absorbers Theory and Technical Applications, John Wiley & Sons, Inc.(1993).
[10] J. Q. Sun, M. R. Jolly and M. A. Norris, Passive, Adaptive and Active Tuned Vibration Absorbers - A Survey, Journal of Mechanical Design, Vol. 117, pp. 234-242(1995).
[11] M. Z. Ren, A Variant Design of the Dynamic Vibration Absorber, Journal of Sound and Vibration, Vol. 254, pp. 762-770(2001).
[12] K. Liu and J. Liu, The Damped Dynamic Vibration Absorber: Revisited and New Result, Journal of Sound and Vibration, Vol. 284, pp. 1181-1189(2005).
[13] 曹淵閔，動態吸振器在工程上的應用探討，國立台灣科技大學碩士學位論文，2006。
[14] C. B. Williams, R. B. Yates, Analysis of a micro-electric generator for Microsystems, Sensor and Actuators A, vol. 52, pp. 8-11(1996).
[15] S. Roundy, P. K. Wright, J. Rabaey, A Study of Low Level Vibrations as a Power Source for Wireless Sensor Nodes, Computer Communications, Vol. 26, pp. 1131-1144(2003).
[16] N. G. Stephon, On Energy Harvesting from Ambient Vibration, Journal of Sound and Vibration, Vol. 293, pp. 409-425(2006).
[17] H. A. Sodano, D. J. Inman, G. Park, Estimation of Electric Charge Output for Piezoelectric Energy Harvesting, Strain, vol. 40, pp. 49-58(2004).
[18] H. A. Sodano, D. J. Inman, G. Park, A Review of Power Harvesting from Vibration using Piezoelectric Materials, The Shock and Vibration Digest, vol. 36, pp. 197-205(2004).
[19] A. Törn and S. Viitanen, Topographical Global Optimization Using Pre- Sampled Points, Journal of Global Optimization, Vol. 5, pp. 267-276(1994).
[20] S. S. Rao, Engineering Optimization- Theory and Practice, 3th
edition, John Wiley & Sons, Inc.(1996).