臺灣博碩士論文加值系統

本研究旨在探討機車在穩態過彎時之穩態行為及穩定性。本研究將發展兩個機車的運動模型，過彎時的穩態運動模型及過彎時的動態運動模型，並配合電腦輔助模擬分析，探討其轉向參數、騎士於過彎時所需施加之轉向力矩及穩定性。利用本研究所發展之模型，更可探討機車在載人或騎士有重心偏移的情形下，對機車過彎時之穩態行為及穩定性所造成之影響，並比較騎士以不同騎姿過彎時，機車之轉向參數、轉向力矩及穩定性之差異。最後應用田口法，對機車之設計參數進行最佳化調整，期望能以更有系統之實驗設計法，獲得更有用之設計資訊，進而提升機車之過彎速度。

The purpose of this study is to understand the steady-state behavior and the stability of motorcycle while cornering. The model of steady-state turning and the model for the stability analysis while turning for motorcycles have been developed in this study. By using these models cooperatively, not only the steady-state behavior of motorcycle can be determined, also the stability of motorcycle while turning can be evaluated. The turning parameters, the steering torque exerted by the rider, and the stability of motorcycle, then, could be analyzed numerically. The effect of the rider lateral movement including the comparison of the rider position and the presence of the passenger on the steady-state behavior and the stability of the motorcycle are discussed. Finally by using the Taguchi approach, the design parameters of motorcycle can be better adjusted to increase the speed of motorcycle and to provide valid information of the design parameters and the cornering speed of the motorcycle.

口試委員會審定書 i
誌 謝 ii
中文摘要 iii
英文摘要 iv
目 錄 v
圖目錄 x
表目錄 xiv
符號彙編 xv
第一章 緒論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 研究動機與目的 4
1-4 研究方法與步驟 5
第二章 基礎理論 7
2-1 機車穩態過彎數學模型 7
2-1-1 座標系之設定 8
2-1-2 幾何關係式 10
2-1-3 輪胎模型 14
2-1-4 輪胎所受之力與力矩 16
2-1-5 Tire Magic Formula 17
2-1-6 機車穩態力平衡方程式 18
2-1-7 轉向力矩 21
2-2 機車穩定性分析模型之建立 23
2-2-1 座標系之設定 24
2-2-2 Lagrange運動方程式 25
2-2-3 輪胎受力之數學表示式 29
2-2-4 運動方程式 31
第三章 機車穩態過彎及穩定性分析模型 34
3-1 機車穩態過彎及穩定性模型 34
3-1-1 假設條件 35
3-1-2 幾何關係式 37
3-1-3 車體座標 38
3-1-4 機車穩態力平衡方程式 40
3-2 運動方程式之線性化 41
3-3 運動系統之穩定性 44
3-3-1 方程式之特徵值 44
3-3-2 運系統之穩定性與特徵值 46
第四章 數值分析求解方法 47
4-1 數值分析方法建立 47
4-2 數值分析求解過程 48
4-3 燃料電池複合動力機車穩態行為之電腦輔助分析 53
4-3-1 轉向參數分析 53
4-3-2 轉向力矩分析 62
4-4 燃料電池複合動力機車穩定性之電腦輔助分析 65
4-4-1 機車之不穩定模態 65
4-4-2 穩定性分析 68
4-5 討論與小結 73
第五章 參數調整對機車穩態行為及穩定性之影響 75
5-1 車型分析比較 75
5-1-1 轉向參數分析比較 77
5-1-2 轉向力矩分析比較 81
5-1-3 過彎穩定性分析比較 83
5-2 騎士騎姿與乘客對機車穩態行為及穩定性之影響 89
5-2-1 騎士參數設定 91
5-2-2 騎姿對轉向參數之影響 92
5-2-3 騎姿對轉向力矩之影響 95
5-2-4 騎姿對過彎穩定性之影響 97
5-2-5 機車載人後其轉向參數之改變 100
5-2-6 機車載人後其轉向力矩之改變 102
5-2-7 機車載人後其穩定性之改變 104
5-3 燃料電池複合動力機車參數最佳化設計 106
5-3-1 燃料電池複合動力機車參數敏感度分析 106
5-3-2 應用田口法於燃料電池複合動力機車參數最佳化設計 108
5-3-3 田口法方法建立 108
5-3-4 田口法分析步驟 109
5-3-5 田口法分析結果 112
5-3-6 最佳化調整後機車穩定性分析 115
5-4 討論與小結 119
第六章 結論與建議 121
6-1 結論 121
6-2 未來展望 124
參考文獻 125
附錄 A 128
附錄 B 130
附錄 C 139
作者簡歷 142

[1]Sharp, R.S., “The Stability and Control of Motorcycle”, J. Mech. Eng. Sci., Vol. 13, No. 5, pp. 316-329, 1971.
[2]Sharp, R.S., “The lateral dynamics of motorcycles and bicycles”, Vehicle System Dynamics Vol. 14, No.4-6, pp 265-283, 1985.
[3]Limebeer, D.J.N., and Sharp, R.S., “Bicycles, motorcycles and models,” IEEE Transactions Control Systems Magazine, 2006.
[4]Sharp, R.S., “Stability, control and steering responses of motorcycles”, Vehicle System Dynamics, Vol. 35, No.4-5, pp 291-318, 2001.
[5]Sharp, R.S., and Limebeer D. J.N., “A Motorcycle Model for Stability and Control Analysis,” Multibody system dynamics, Vol. 6 No.2, pp 123-142, 2001.
[6]Sharp, R.S., Evangelou, S., and Limebeer, D.J.N., “Advances in the modelling of motorcycle dynamics”, Multibody System Dynamics, Vol. 12, No. 3, pp. 251–283, 2004.
[7]游凱程，電動機車穩定性分析及最佳化設計，國立台灣大學機械工程研究所碩士論文，2000。
[8]楊斌，二輪車穩定性探討，國立台灣大學機械工程研究所碩士論文，2004。
[9]Seffen, K.A., Parks, G.T., and Clarkson , P.J., “Observations on the controllability of motion of two-wheelers”, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 215, No. 2, pp 143-156, 2001.
[10]Limebeer, D.J.N., Sharp, R.S., and Evangelou, S.,“Motorcycle steering oscillations due to road profiling”, Proc. ASME, Journal of Applied Mechanics, Vol. 69, Issue 6, pp 724-739, 2002.
[11]Evangelou, S., Limebeer, D.J.N., Sharp, R.S., and Smith, M.C., “Control of motorcycle steering instabilities”, Control Systems Magazine, IEEE, Vol. 26, Issue 5, pp 78-88, 2006.
[12]Evangelou, S., Limebeer, D.J.N., Sharp, R.S., and Smith, M.C., “Steering compensation for high-performance motorcycles”, in Proceeding of 43rd CDC, IEEE Conference, Vol. 1, No. 14-17, pp 749-754, 2004.
[13]Cossalter, V., Doria, A., and Lot, R., “Steady turning of two-wheeled vehicles”, Vehicle System Dynamics, Vol. 31, pp 157-181, 1999.
[14]Cossalter, V., and Lot, R., “A motorcycle multi-body model for real time simulations based on the natural coordinates approach”, Vehicle System Dynamics, Vol. 37, pp 423–448, 2002.
[15]Cossalter, V., Lot, R., and Maggio, F., “The modal analysis of a motorcycle in straight running and on a curve”, In Meccanica, Vol. 39 pp 1-16, Kluwer Academic Publishers, 2004.
[16]Schwab, A.L., Meijaard, J.P., and Papadopoulos, J.M., “Benchmark results on the linearized equations of motion of an uncontrolled bicycle”, in Proc. 2nd Asian Conf. Multibody Dynamics Seoul, Korea, Aug. 1–4, pp. 143-151, 2004.
[17]Moore, J., “Low speed bicycle stability : effects of geometric parameters”, MAE223, 2006.
[18]Cossalter, V., Motorcycle Dynamics, 1st English Edition, Race Dynamics, United States of America, 2002.
[19]Pacejka, H.B., Tyre and Vehicle Dynamics, Butterworth Heinemann, Oxford, 2002
[20]蘇耿達，機車動態模擬與程式發展，國立台北科技大學車輛工程碩士班碩士論文，2005。
[21]Sneck, H.J., Machine Dynamics, Prentice-Hall, United States of America, 1991
[22]Verma, M.K., Theoretical and Experimental Investigations of Motorcycle Dynamics, Doctoral Dissertation, University of Michigan, 1978.
[23]Cossalter, V., Da Lio, M., Lot, R., and Fabbri, L., “A general method for the evaluation of vehicle manoeuvrability with special emphasis on motorcycles”, Vehicle System Dynamics Vol. 31, No. 2, pp. 113–135, 1999
[24]曾頎峰，應用田口法於複合材料三明治樑彎曲效能之分析，國立台灣大學機械工程研究所碩士論文，2005。
[25]張勳承，田口法應用於覆晶構裝錫球的熱應力分析，國立成功大學機械工程學系碩士論文，2003。
[26]Ranjit, K.R., Design of experiments using the taguchi approach:16 steps to product and process improvement, John Wiley & Sons, Inc., United States of America, 2001
[27]Koenen, C., The dynamic behaviour of a motorcycle when running straight ahead and when Cornering, Doctoral Dissertation, Delft University, 1983.
[28]Ellis, J.R., Vehicle handling dynamics, Mechanical Engineering Publications, London, 1994.
[29]Cocco, G., Motorcycle design and technology, Motorbooks International ,United States of America, 2004
[30]Kane, T.R., “Fundamental kinematical relationships for single track vehicles”, Int. J. Mech. Sci., Vol. 17, pp 499-504. 1975.