過去推導搖撼力及搖撼力矩的公式，並沒有考慮到引擎曲軸偏置，本文重新推導考慮引擎曲軸偏置搖撼力及搖撼力矩的公式並觀察曲軸偏置的影響，得知曲軸的偏置對引擎搖撼力幾乎沒有影響，但對搖撼力矩有很大的影響，再來將引擎設定在定扭力狀態下，因定扭力狀態更能符合真實引擎的情況，而將搖撼力分析數據，提供給整車作振動分析時，能夠在頻率的轉換得到真實的結果，首先將汽缸內壓力數據作簡化、轉換，使其能夠輸入ANSYS Workbench中進行模擬分析，先檢視引擎運動的情形是否符合真實引擎的運動情形，再由各個邊界條件得到力及力矩的數據，分析出結果後，將分析結果與引擎設定在定轉速狀態下的分析結果作比較，最後指出定扭力狀態與定轉速狀態對於整車振動分析在將搖撼力做快速傅立葉轉換時，定扭力狀態下的基頻會是定轉速狀態下的一半。

The formula of the shaking force and shaking moment we derived before did not take the offset-aligning of the engine crankshaft into account. In this paper, we re-derive the formula about the effect of offset-aligning of engine crankshaft which cause shaking force and shaking moment. Then we observed that the offset-aligning of the engine crankshaft has no effect to the shaking force but a lot to the shaking moment. Next, set the engine in a constant torque condition, because this condition is more close to the actual condition than constant angular velocity condition. With this condition, the analysis data of shaking force will provide a more actual result of frequency transformation. For ANSYS Workbench simulation analysis, first, we simplified the data of cylinder pressure, then convert the data to enable following analysis. After Fast Fourier transform, we compared the simulated data in constant torque condition with the data constant angular velocity condition and got that the fundamental frequency of the constant torque case is half of the constant angular velocity condition case in our vibration analysis of whole vehicle.

1. T. Tomita, T. Inoue, and K. Ochi, Motorcycle Vibration and Its Control Using Computer-Aided Engineering, JSAE Review, pp. 48-58, 1983.

2. Y. H. Zweiri, J. F. Whidborne, and L. D. Seneviratne, A Mathematical Transient Model for the Dynamics of a Single-cylinder Diesel Engine, International Conference on SIMULATION, Conference Publication No.457, 1998.

3. V.H. Arakelian, Shaking moment cancellation of self-balanced slider–crank mechanical systems by means of optimum mass redistribution, Mechanics Research Communications 33, pp.846–850, 2006.

4. Y. Xue, Q. Du, F. Zhao, J. Zhu, Dynamic Analysis of a Hypocycloid Mechanism with Planetary Gears for Internal Combustion Engine, Asia Simulation Conference--7th Intl. Conf. on Sys. Simulation and Scientific Computing, pp.102-107, 2008.

5. F. N. Balia, S. Mahzan, M. Ghazali, and A. Wahab, Effect of Body Tilt Angle to the Shaking Forces on the Diesel Engine’s Crankshaft, Malaysian Technical Universities Conference on Engineering and Technology, 2009.

6. V. Arakelian, S. Briot, Simultaneous Inertia force/moment Balancing and Torque Compensation of Slider-crank Mechanisms, Mechanics Research Communications 37, pp.265-269, 2010.

7. H. Karabulut, H. Ersoy, Dynamic Behaviors of a Two-Cylinder Four-Stroke Internal Combustion Engine, Gazi University Journal of Science GU J Sci, pp.519-532, 2012.

8. 施翔耀，速克達型機車之引擎吊架系統，國立中山大學機械工程學系碩士論文，1997。

9. 趙士偉，機車結構減振之設計方法，國立台灣大學機械工程學系碩士論文，2000。

10. 李昆明，機車懸吊機構之系統化設計方法，國立台灣大學機械工程學系碩士論文，2002。

11. N. Dimbale, A. Bhujbal, R. Hanabar, S. H. Gawande, L. G. Navale, G. Daphal, Dynamic Vibration Analysis for Multi-Cylinder Diesel Engine of SL90 Type, International Journal of Science and Advanced Technology, Volume 1 No 2 , 2011.

12. R. Sharma, Computer-aided Analysis of Balancing of Multi-cylinder Inline and V Engines, National institute of Technology Rourkela Department of Mechanical Engineering, 2010.

13. 林毓恆，單缸機車引擎搖撼力探討，國立成功大學機械工程學系碩士論文，2011。

14. Chiu-Chin Wua, Yii-Wen Hwang, Shu-Hong Lin, Dynamic Analysis and Simulation of Virtual Engine, Applied Mechanics and Materials Vols.121-126, pp.3770-3778 , 2012.

15. Xu Han, Jian-sheng Lin, and An-jian1 Ji, Study on Single Shaft Balance of Single-Cylinder Engine Based on Coupling of Optimization and Virtual Simulation, Applied Mechanics and Materials Vols. 130-134, pp.321-325, 2012.

16. 朱培銘，機車結構有限元素法模態分析及簡諧分析，國立成功大學機械工程學系碩士論文，2011。.

17. 葉柏晨，具隨機參數單汽缸引擎動態響應與最佳化設計之研究，國立台灣科技大學機械工程學系碩士論文，2009。