本研究係利用有限元素法來建立引擎元件之數值模型，以探討其振動行為。這些元件包括：凸輪軸蓋、缸頭、缸體、下曲軸箱、油底殼、正時蓋板、進/排氣凸輪軸、曲軸及排氣歧管。整個模擬分析流程是先將Pro-E軟體所完成的CAD模型經由TSV-Pre 軟體建構完整無細微破碎面的表面網格，接著利用MSC.Patran長出內部為Tetra 4之實體網格，再透過MSC.Marc將實體網格轉換為較高階之Tetra 10元素，以完成引擎各元件之有限元素模型。

隨後以模態測試之結果來調校引擎各元件之數值模型，以確認模型之準確性。但由於原型元件之推出延後以及時間資源之受限，各元件之模態測試僅能完成兩個模態，因此即使在調整楊氏係數後仍不足以充分調校某些元件之數值模型，尚須後續深入探討釐清。此外，在實驗之前，若能先獲得有限元素之模擬結果，對於加速規與激振點之佈建規劃將有極大的助益，因而也能加速完成原本即極為耗時的實驗。

This research used finite element method to build numerical models for engine components to study their vibration behaviors. The modeled main components include: cam cover, cylinder head, cylinder block, bed plate, oil pan, front cover, intake/exhaust camshafts, crankshaft, and exhaust manifold. The whole analysis process begins with the construction of surface meshes by using TSV-Pre pre-processor based on available CAD models. Solid meshes with Tetra 4 elements are then constructed by MSC.Patran pre-processor. Afterwards, Tetra 4 elements are converted to the higher-order Tetra 10 elements in order to better simulate the vibration behaviors of engine elements. The numerical FE solver Nastran can then be used to generate calculated results.
Modal testing were used to check the validity of the FE models of different components. Due to limited time and resources, only two vibration modes of each component were finished. This situation resulted in greater errors and difficulties in tuning some of the FE models. This study also noted that the time-consuming modal testing work can be shortened considerably by properly setting up accelerometers as well as excitation locations and directions if simulation results are available ahead of time.

[1]Athavale, S. M., and Sajanpawar, P. R., “Analytical Studies on Influence of Crankshaft Vibrations on Engine Noise Using Integrated Parametric Finite Element Model: Quick Assessment Tool,” SAE 1999-01-1769, 1999.
[2]Chabot, L., “Noise and Vibration Optimisation of a Gasoline Engine,” PSA Group 網站(http://www.ricardo.com/)
[3]Inagaki, M., Kawamoto, A., Aoyama, T., and Yamamoto, K., “Prediction of Structural and Kinematic Coupled Vibration on Internal Combustion Engine,” R&D Review of Toyota CRDL, 2002.
[4]Kim, S. J., and Lee, S. K., “Prediction of Interior Noise by Exvitation Force of The Powertrain Based on Hybrid Tansfer Path Analysis,” International Journal of Automotive Technology , 2008.
[5]Lahey, H. P., Steffens, C., and Schultz, C., “Simulation Method for Geartrain NVH Assessment and Optimization,” SAE 2001-01-1593, 2001.
[6]Mamiya, N., “Application of FEM Analysis in Engine Development,” 1999 MSC Worldwide Automotive Conference, 1999.
[7]Payer, E., “Advanced Numerical Simulation Techniques for the Fatigue and NVH Optimization of Engines,” the 2nd MSC Worldwide Automotive Conference, 2000.
[8]Píštěk, V., and Novotný, P., “Dynamic Analysis of Diesel V8 Cranktrain,” ANSYS Users’ Meeting, 2004.
[9]Priebsch, H. H., and Resch, T., “Simulation and Optimisation of Engine Noise – Predictive Input for the Development Process,” 16th Rieter Automotive Conference, Luzern, CH, 2003.
[10]Robinson, J., Hussain, K., and Day, A., “NVH Optimisation of Automotive Engine Components Using Design of Experiments and Computer Aided Engineering Techniques,” Masters’ conference 2004, University of Bradford, 2004.
[11]Sakai, T., and Sakamoto, A., “Improvement of Engine Noise for the 2003 Accord Using Hybrid CAE Technology,” SAE 2003-01-1427, 2003.
[12]Seki, Y., Suzuki, T., and Tsukahara, M., “How to Predict Powertrain Vibration at the Engine Mounting Points under Running Conditions,” SAE 2001-01-1592, 2001.
[13]Sopouch, M., Hellinger, W., and Priebsch, H. H., “Simulation of Engine’s Structure Borne Noise Excitation Due to the Timing Chain Drive,” SAE 2002-01-0451 , 2002.
[14]Yamamoto, K., Naritomi, T., “Design Optimization of Engine Bolts in Noise and Vibration Performance Development Using FEM,” SAE-2006-01-0282, 2006.
[15]Yamashita, K., Yamashita, H., and Nakano, M., “Prediction Technique for Vibration of Power-Plant with Elastic Crankshaft System,” SAE 2001-01-1420, 2001
[16]張志偉，靜止輪胎與輪圈的實驗模態分析，國立台灣科技大學機械工程學研究所碩士論文，1999。
[17]TechnoStar Co., TSV-Pre Version 3.1 Command Reference, 2009.
[18]吳冠英，以模態測試與有限元素法探討靜止輪胎之振動模態，國立台灣科技大學機械工程學研究所碩士論文，2001。
[19]Allemang, R. J., “Modal Analysis - Where Do We Go from Here? ” Modal Analysis: the International Journal of Analytical and Experimental Modal Analysis, Vol. 8, No. 2, pp. 79-91, 1993.
[20]Broch, J. T., Mechanical Vibration and Shock Measurements, Brüel & Kjær, Denmark, 1984.
[21]張印本等，金屬材料對照手冊，第四版，全華圖書股份有限公司，2009
[22]Smith, W. F., Foundations of Materials Science and Engineering. 4th ed., McGraw-Hill Companies, Inc., 2006