# 臺灣博碩士論文加值系統

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 本文主要是針對俱裂縫葉片之旋轉週期性系統之局部振動與穩定性 之探討。文中的旋轉週期性系統是以渦輪葉片系統為主要模擬對像， 如蒸汽渦輪機葉片與燃氣渦輪機葉片系統…等等的渦輪葉片系統，因 系統操作時葉片長時間受冷熱反複衝擊，葉片因熱應力循環而常有裂縫 產生。裂縫不僅影響葉片本身的動態特性，甚至影響整組葉片系統的 動態特性。因整組葉片系統為一週期性葉片系統，一旦系統中任意一 葉片產生了裂縫，可能導至整組系統發生了局部振動現象，此時系統 的振動能量與應力會集中在此俱裂縫葉片附近，使得系統因此而破壞 。本文即對此現象與其造成均不穩定現象加以探討。 文中俱有裂縫葉片之運動方程式是以下列兩種方法求得;第一為 雙跨距樑與一扭轉彈簧來模擬葉片裂縫，此扭轉彈簧可由裂縫參數解 得;其次是以能量法直接解山俱裂縫之葉片運動方程式。直樑與錐型 預扭角樑同時用來模擬此系統的葉片，為方便起見，使用尤拉樑理論 推導出系統每根葉片運動方程式。系統的統御方程式可由葛樂金方法 及哈米頓原理推導出，由以上的推導即可求得週期性系統之局部振動 現象。週期性系統的不穩定問題也是本文主要探討題目。文中假設系 統旋轉時俱有微小變動量，此微小轉速變動即為系統的擾動參數，基 於多尺度法可求得此週期性系統之不穩定區。 探討葉片裂縫深度、轉速、葉片間耘合剛度…等參數，對此週期性 系統的局部振動現象與不穩定性的影響。研究証實葉片裂縫、轉速、 葉片間璃合剛度對此類系統之局部振動現象與不穩定性影響甚鉅。
 Cracks frequently appear in the rotating machinery, for as much as manufacturing flaws or cyclic fatigue during operation. Especially for the turbo-disk, numerous cracks were observed after severe operation. In this dissertation, the effect of blade crack on the mode localization and dynamic stability of a rotating turbo-blade-disk is studied. Mode localization phenomenon and dynamic stability of a mistuned system should be worthy of attention, because the structural or material irregularities and non-constant rotating speed in blade-disks system are unavoidable. However, only few investigations have dealt with this mode localization and dynamic stability in those mistuned systems, with cracked blades. In this article, an investigation of the effect of blade crack on the stability and mode localization in a rotating blade- disk is studied. Blades of a blade-disk are simulated respectively by the uniform and pretwisted taper beams. The crack on the blade can be regarded as a local disorder of this periodically coupled blades system. Galerkin''s method and Hamilton''s principle are used to formulate the unperturbation equations of motion of the mistuned system. An application of the perturbation multiple scales method is employed to derive the approximate solution for the boundary of instability of the mistuned system. The effects of pretwisted angle, rotating speed and crack size of the blade on the mode localization and stability in a rotating system are studied. Numerical results indicate that the increase of pretwisted angle, rotating speed and crack depth could affect the mode localization phenomenon and stability of this mistuned system significantly.
 CoverAcknowledgementsContentsList of FiguresList of TablesNomenclatureAbstract in ChineseAbstract in EnglishChapter 1 IntroductionChapter 2 Mode Localization Theoretical Derivation2.1 Uniform Blade System2.2 Uniform Blade with Grouped Arrangement System2.3 Tapered Pretwisted Blade SystemChapter 3 Dynamic Stability Theoretical Derivation3.1 Uniform Blade System3.2 Uniform Blade System with Coupled Longitudinal and Bending Vibrations3.3 Tapered Pretwisted Blade SystemChapter 4 Numerical Results and Discussions4.1 Mode Localization in the Uniform Blade System4.2 Mode Localization in the Uniform Blade with Grouped Arrangement System4.3 Mode Localization in the Tapered Pretwisted Blade System4.4 Dynamic stability in the Uniform Blade System4.5 Dynamic stability in the Uniform Blade System with Couped Longitudinal and Bending Vibration4.6 Dynamic stability in the Tapered Pretwisted Blade SystemChapter 5 ConclusionsReferencesAppendix A Mode Localization in a Rotating Mistuned Turbo Disk with Coriolos EffectAppendix B A Study on a Tapered Pretwisted Beam with Different Solving Different MethodsVITA
 Anderson, P. W., 1958, "Absence of Diffusion in CertainRandom Lattices," Phsical Review, Vol. 109, pp. 1492-1505.Aubrecht, J. and Vakakis, A. F., 1996, "Localized and Non-Localized Nonlinear Normal Mode in a Multi-Span Beam with Geometric Nonlinearities," ASME, Journal of Vibration and Acoustics, Vol. 118, No. 4, pp. 533-542.Afolabi, D., 1985. "The Frequency Response of Mistuned Bladed Disk," Assemblies," Proc. 10th Conf. on Mech. Vib. and Noise.Afolabi, D., 1985. "The Eigenvalue Spectrum of Mistuned Bladed Disk," Proc. 10th Conf. on Mech. Vib. and Noise.Anderson, G. L., 1975, "On the Extensional and Flexural Vibrations of Rotating Bar," International Journal of Nonlinear Mechanics, Vol. 10, pp. 223-236.Basu, P. and Griffin, J. H., 1985, "The Effect of Limiting Aerodynamic and Structural Coupling in Models of Mistuned Blade Disk Vibration," Proc. 10th Conf. on Mech. Vib. and Noise.Bendiksen, O. O., 1984, "Flutter of Mistuned Turbo machinery Rotors," ASME Journal of Engineering for Gas Turbines and Power, Vol. 106, pp. 25-23. Bendiksen, O. O., 1987, "Mode Localization Phenomena in Large Space Structures," AIAA Journal, Vol. 25, pp. 1241-1248.Bernstein, H. L. and Allen, J. M. 1992, "Analysis of Cracked Gas Turbine Blades," ASME, Journal of Engineering for Gas Turbines and Power, Vol. 114, pp. 293-301.Bladh, R., Castanier, M. P., and Pierre, C., 1998, "Reduced Order Modeling and Vibration Analysis of Mistuned Bladed Disk Assemblies with Shrouds," Proc. of ASME, the International Gas Turbine & Aeroegine Congress & Exhibition, Stockholm, Sweden, Paper No. 98-GT-484.Broek D., 1986, Elementary Engineering Fracture Mechanics, Martinus Nijhoff Publishers.Cha, P. D. and Pierre, C., 1991, "Vibration Localization by Disorder in Assemblies of Monocoupled, Multimode Component Systems," ASME Journal of Applied Mechanics, Vol. 58 , pp. 1072-1081.Cai, C. W., Chan, H. C. and Cheung, Y. H., 1998, "Localized Mode in Periodic System with Nonlinear Disorder," ASME Journal of Applied Mechanics, Vol. 64, pp. 940-945.Chen, L. and Chen, C., 1988, "Vibration and Stability of Cracked Thick Rotating Blade," Computers & Structures, Vol. 28, pp. 67-74.Chen, L. and Chen, C., 1993, "Vibrational Analyses of Cracked Pre-twisted Blades," Computers & Structures, Vol. 46, pp. 133-140.Cottney, D. J. and Ewins, D. J., 1974, "Towards the Efficient Vibration Analysis of Shrouded Bladed Disk Assemblies," ASME Journal of Engineering for Industry, Vol. 96B, pp 1054-1059.Dimarogonas, A. D., and Paipetis, S. A., 1983, "Analytical Methods in Rotor Dynamics," Applied Science Publishers, New York.Hodges, C. H., 1982, "Confinement of Vibration by Structural Irregularity," Journal of Sound and Vibration, Vol. 82, No. 3, pp. 411-424.Hodges, C. H. and Woodhouse J., 1989, "Confinement of Vibration by One-dimensional Disorder, I: Theory of Assemble Averaging," Journal of Sound and Vibration, Vol. 130, pp. 237-251.Hodges, C. H. and Woodhouse J., 1989, "Confinement of Vibration by one-dimensional disorder, II: A Numerical Experiment on Different Assemble Averages," Journal of Sound and Vibration, Vol. 130, pp. 253-268.Hsu C. S., 1961, "On a Restricted Class of Coulped Hill''s Equations and Some Applications," ASME Journal of Applied Mechanics, pp. 551-557.Galvele J. R., 1990, "Surface Mobility-Stress Corrsion Cracking Mechanism of Steels for Steam Turbine Rotor," Corrsion Scince, Vol. 30, pp. 955-958.Grabowski B., 1980, "The Vibrational Behavior of a Turbine Rotor Containing a Transverse Crack," ASME Journal of Mechanic Design, Vol.102, pp. 140-146.Kaneko, Y., Mase, M., Fujita, K., and Nagashima, T., 1994, "Vibration Response Analysis of Mistuned Bladed Disk," JSME International Journal Series C, Vol. 37, No. 1, pp. 33-40.Kaneko, Y., Mori, K., Ohyama, H., and Watanabe, E., 1998, "Vibration Response Analysis of Mistuned Bladed Disk System of Grouped Blades," Proc. of ASME, the International Gas Turbine & Aeroegine Congress & Exhibition, Stockholm, Sweden, Paper No. 98-GT-410.Krawczuk M. and Ostachowicz W. M., 1993, "Transverse Natural Vibrations of a Cracked Beam Loaded with a Constant Aixal Force," ASME, Journal of Vibration and Acoustics, Vol. 115, pp. 524-528.Lee, H. P., 1995, "Effects of Axial Base Excitations on The Dynamic Stability of Spinning Pretwisted Cantilever Beams," Journal of Sound and Vibration, Vol. 185, No. 2, pp. 265-278.Liao, C. L. and Dang, Y. H., 1992, "Structural Characteristics of Spinning Pretwisted Orthotropic Beam," Computers & Structurals, Vol. 45, No. 4, pp. 715-731.Liao, C. L. and Huang, B. W., 1995, "Parametric Resonance of a Spinning Pretwisted Beam with Time-Dependent Spinning Rate," Journal of Sound and Vibration, Vol. 180, No. 1, pp.47-65.Liao, C. L. and Huang, B. W., 1995, "Parametric Instability of a Spinning Pretwisted Beam under Periodic Axial Force," International Journal of Mechanical Sience, Vol. 37, No. 4, pp.423-439.Liu, H. J., Zhao, L. C. and Chen, J. Y., 1996, "Asymmetric Effects on Mode Localization of Symmetric Structures," Journal of Sound and Vibration, Vol. 194, No. 4, pp.645-651.Lust, S. D. and Friednmann, P. P. and Bendiksen, O. O., 1993, "Mode Localization in Multispan Beams," AIAA Journal, Vol. 31, No. 2, pp. 348-335.Motohiro, S., 1984, "Charateristics of Natural Frequencies of Steam Turbine Blades -1st- Relationship on Vibration between Grouped Blades and Disk," Bulletin of JSME, Vol. 27, No. 226, pp. 802-808.Motohiro, S. 1984, "Charateristics of Natural Frequencies of Steam Turbine Blades -2nd- Influence of Disk on Vibration of Grouped Blades," Bulletin of JSME, Vol. 27, No. 228, pp.1203-1209.Motohiro, S., 1985, "Charateristics of Natural Frequencies of Steam Turbine Blades -3rd- Vibration of Bound Blades on Entire Disk Circumference," Bulletin of JSME, Vol. 28, No. 226, pp. 1196-1203.Nayfey, A. H., and Mook D.T., 1979, Nonlinear Oscillation, John Wiley, New York.Orgun, C. O. and Tongue, B. H, 1994, "Mode Localization in Coupled Circular Plates," ASME Journal of Vibration and Acoustics, Vol. 116, pp. 286-294.Ottarsson, G. and Pierre, C., 1996, "A Transfer Matrix Approch to Free Vibration Localization in Mistuned Blade Assemblies," Journal of Sound and Vibration, Vol. 197, No. 5, pp. 589-618.Papadopoulos C. A. and Dimarogonas A. D., 1988, "Stability of Cracked Rotors in the Coupled Vibration Mode," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 110, pp. 356-359.Papadopoulos, C. A. and Dimarogonas, A. D., 1988, "Coupled Longitudinal and Bending Vibrations of a Crack Shaft," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 110, pp. 1-8.Pierre, C. and Dowell, E. H., 1987, "Localization of Vibrations by Structural Irregularity," Journal of Sound and Vibration, Vol. 114, No. 3, pp. 549-564.Pierre, C., Tang, D. M. and Dowell, E. H., 1987, "Localized Vibrations of Disorder Multispan Beam: Theory and Experiment," AIAA Journal, Vol. 25, pp. 1249-1257.Pierre, C. and Cha, P. D, 1989, "Strong Mode Localization in Nearly Periodic Disordered Structures," AIAA Journal, Vol. 27, No. 2, pp. 227-241.Pierre, C., 1990, "Weak and Strong Vibration Localization in Disordered Structures : A Statistical Investigation," Journal of Sound and Vibration, Vol. 139, No. 1, pp. 111-132.Rao, J. S., 1972, "Flexural Vibration of Pretwisted Tapered Cantilever Blades," ASME Journal of Engineering for Industry, Vol. 94, No. 1, pp. 343-346.Rao, J. S., 1977, "Vibration of Rotating, Pretwisted and Tapered Blades," Mechanism and Machine Theory, Vol. 12, pp. 331-337.Rizos P. F., Aspragathos N., and Dimarogonas A. D., 1990, "Identification of Crack Location and Magnitude in a Cantilever Beam from the Vibration Mode," Journal of Sound and Vibration, Vol. 138, pp. 381-388.Subrahmanyam, K. B., Kulkarni, S. V. and Rao, J. S., 1982, "Application of The Reissner Method to Derive The Coupled Bending-Torsion Equations of Dynamic Motion of Rotating Pretwisted Cantilever Blading with Allowance for Shear Deflection, Rotary Inertia, Warping and Thermal Effects," Journal of Sound and Vibration, Vol. 84, No. 2, pp. 223-240.Subrahmanyam, K. B. and Kaza, K. R. V., 1986, "Vibration and Buckling of Rotating, Pretwisted, Preconed Beams Including Corilis Effects," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 108, pp. 140-149.Tada H., Paris P. and Irwin G., 1973, The Stress Analysis of Crack Handbook, Del Research Corporation, Hellertown, Pennsylvania.Walls, D. P., deLaneuville, R. E. and Cunningham, S. E., 1997, "Damage Tolerance Based Life Prediction in Gas Turbine Engine Blades under Vibratory High Cycle Fatigue," ASME Journal of Engineering for Gas Turbines and Power, Vol. 119, pp. 143-146.Wei, S. T. and Pierre, C., 1988, "Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry Part I: Free Vibrations," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 110, pp. 429-438.Wei, S. T. and Pierre, C., 1988, "Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry Part II :Forced Vibrations," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 110, pp. 439-449.Wu M. C. and Huang S. C., 1997, "Modal Analysis of a Rotating Shaft-Disk-Blades System with a Cracked Blade." Proceedings of Design Engineering Technical Conferences, Computers in Engineering Conference, and Engineering Information Management Symposium, ASME Paper No. DETC/VIB-4064, Sacramento, California, USA.Xie, W. C. and Ariaratnam, S. T., 1996, "Vibration Mode Localization in disordered Cyclic Structures .1. Single Substructure Mode," Journal of Sound and Vibration, Vol. 189, No. 5, pp. 625-645.Xie, W. C. and Ariaratnam, S. T., 1996, "Vibration Mode Localization in Disordered Cyclic Structures .2. Multiple Substructures Mode," Journal of Sound and Vibration, Vol. 189, No. 5, pp. 647-660.Yang, B. D., Chen, J. J., and Menq C. H., 1998, "Prediction of Resonant Response of Shrouded Blades with 3D Shroud Constraint," Proc. of ASME, the International Gas Turbine & Aeroegine Congress & Exhibition, Stockholm, Sweden, Paper No. 98-GT-485.Young, T. H. and Liou, G. T., 1992, "Coriolis Effect on the Vibration of a Cantilever Plate with Time-varying Rotating Speed," ASME Journal of Vibration and Acoustics, Vol. 114, pp. 232-241.Young, T. H., 1991, "Dynamic Response of a Pretwisted, Tapered Beam with Non-constant Rotating Speed," Journal of Sound and Vibration, Vol. 150, No. 3, pp. 435-446.Zmitrowicz, A., 1996, "A Note on Natural Vibrations of Turbine Blade Assemblies with Non-Continuous Shroud Rings," Journal of Sound and Vibration, Vol. 192, No. 2, pp. 521-533.
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 1 具空氣效應之葉片系統動態特性分析 2 含裂縫壓力構件穩定行為之探討 3 端點負荷及裂縫對轉子系統迴動速度與穩定性之影響

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