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標題: 承受空間中固定外力之複合材料軸-圓盤系統動態響應之探討
Studies of Dynamic Responses of Composite Shaft-Disk Systems Subjected to Spatial-Fixed External Loads
作者: 廖榮川
Liao, Rong-Chuan
關鍵字: Composite;複合材料;Shaft-Disk Systems;軸-圓盤系統
出版社: 機械工程學系所
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G., Chonan, S. and Lehmann, B. F., “Dynamic Response of a Guided Circular Saw,” Journal of Sound and Vibration, Vol. 112, No. 3, pp. 527-539 (1987). [11] Chen, J. S. and Bogy, D. B., “Effects of Load Parameters on the Natural Frequencies and Stability of a Flexible Spinning Disk with a Stationary Load System,” Journal of Applied Mechanics, Vol. 59, pp. 230-235 (1992). [12] Chen, J. S. and Bogy, D. B., “The Effects of a Space-Fixed Friction Force on the In-Plane Stress and Stability of a Spinning Disk,” Journal of Applied Mechanics, Vol. 60, pp. 646-648 (1993). [13] Chen, J. S., “Stability Analysis of a Spinning Elastic Disk Under a Stationary Concentrated Edge Load,” Journal of Applied Mechanics, Vol. 61, pp. 788-792 (1994). [14] Shen, I. Y. and Song, Y., “Stability and Vibration of a Rotating Circular Plate Subjected to Stationary In-Plane Edge Load, ” Journal of Applied Mechanics, Vol. 63, pp. 121-127 (1996). [15] Chen, J. 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[25] Lim, S., “Finite Element Analysis of Flexural Vibrations in Hard Disk Drive Spindle Systems,” Journal of Sound and Vibration, Vol. 233, No. 4, pp. 601-616 (2000). [26] 陳鄭貴, “ 複合材料旋轉軸之動態響應與其振動控制之探討,” 碩士論文,中興大學機械研究所 (1998). [27] 蔡家偉, “ 複合材料旋轉軸-圓盤系統振動特性之探討,” 碩士論文,中興大學機械研究所 (2005). [28] 蘇振文, “ 含壓電制動器與感測器之複合材料疊層板振動之數位控制,” 碩士論文,中興大學機械研究所 (1995). [29] 魏瑞宏, “ 旋轉軸系統之振動與控制-兩種數學模式之比較,” 碩士論文,中興大學機械研究所 (2001). [30] Gibson, R. F., Principles of Composite Material Mechanics, McGraw-Hill (1994). [31] Reddy, J. N., An Introduction to Finite Element Method, McGraw-Hill (1984). [32] Timoshenko, S. P. and Goodier, J. N., Theory of Elastic Stability, McGraw-Hill (1970). [33] Franklin, G. F., Powell, J. D. and Workman, M. L., Digital Control of Dynamic Systems, ADDISON-WESLEY (1990).
The objective of this thesis is to investigate dynamic responses of composite shaft-disk systems subjected to spatial-fixed external loads. The system included a composite shaft and a flexible disk. The disk is fixed on the shaft. The shaft is supported by bearings which are simulated by springs and dampers. Referring to the rotating coordinate systems that are fixed on the shaft and the disk, the kinetic energy and the strain energy of the system, as well as the work done by the reaction forces of bearings has been derived previously. In this thesis, the geometric stiffness and the internal structural damping are further included and the work done by the spatial-fixed external load is obtained. Then, by employing the Hamilton's principle together with the finite element method, the equations of motion of the composite shaft system containing flexible disks subjected to a space-fixed load spinning at constant speed are derived. Next, the mode summation method is used to determine the dynamic responses of system.
In the numerical examples, first, the responses of non-spinning cantilever isotropic shaft-disk systems are analyzed. The results are shown in agreement with those obtained using software ANSYS. Furthermore, the flexible disks clamped at its inner edge , the flexible shaft-disk and the flexible shaft-rigid disks systems are studied. In addition, the stiffening effect produced by the centrifugal forces in the circular disk on the natural frequencies of flexible shaft-disk are analyzed.
其他識別: U0005-2608200811080400
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