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  • 學位論文

組合結構之阻尼效應模擬

Simulation of Damping Effects on Assembly Structures

指導教授 : 王栢村

摘要


組合結構之模擬分析方法是重要的議題,欲想快速設計一臺工具機,其組合結構之模擬方法建立,有助於相關產業提升研發之效率。本文首先分別簡介比例黏滯阻尼多自由度系統之模態分析與簡諧響應分析;再介紹不同阻尼模型之理論模型,特別針對商用軟體之阻尼分析模型做對應的使用說明;並以懸臂樑結構進行模型驗證,探討懸臂樑結構導入不同阻尼模型,進行簡諧響應分析,求得系統之頻率響應函數。接著探討螺栓鎖固搭接平板進行模型驗證,考慮不同平板長度及不同螺栓扭矩之鎖緊力。其中螺栓接合結構之有限元素模型,係以三維立方體元素建構平板,以接觸元素對模擬螺栓鎖固搭接平板之接觸面,以及以桁架元素模擬螺栓受到扭矩之初始應變效應;且分別對無阻尼與具阻尼效應的結構,進行正交與複數模態分析,以求得系統參數,包括自然頻率及模態振型;最後以包括阻尼效應及接觸參數設定模式運用至典型之工具機組合結構進行模型驗證,得到等效於組合結構之模態參數。本論文之模擬分析方法可針對實際組合結構進行模型驗證,得到等效於組合結構之有限元素模型,能減少實驗次數,加速產品研發之效率。

並列摘要


The simulation for assembly structures is one of important issues. How to quickly design a machine tool is of concern in industry, and the establishment of simulation methods and procedures is important and beneficial to increase the efficiency of product development. Firstly, this work briefly presents the modal analysis and harmonic response analysis for the proportional viscous damping, multiple degree-of-freedom (MDOF) system. Different damping models are introduced. In particular, the related commands in ANSYS are shown and compared for their usages. A practical cantilever beam structure is considered to determine the frequency response function (FRF) via harmonic response analysis by including damping effects for different damping models. Then, the bolt jointed overlap plates with different plate lengths and different tighten forces on the bolts for applied torques are studied. The finite element model is constructed by brick elements for plates, contact element pairs for contact surfaces, and truss elements for bolts subject to different tighten torques with initial strain effects. Modal analysis can then be performed on the FE model to obtain structural modal parameters, including natural frequencies and mode shapes. Both normal mode and complex mode analyses are considered for undamped and damped structures, respectively. Finally, the damping effect and contact parameters are included into the typical assembly structures to carry out model verification. The equivalent structural model can be validated by examining structural modal parameters. The proposed simulation method in particular for contact simulation and damping effects can be applied to practical assembly structures and enhanced for product design and development.

參考文獻


15. 謝宗廷,2010,組合結構之模擬與模型驗證,碩士論文,國立屏東科技大學,屏東。
16. 賴峯民,曹季涵,楊超傑,「新型快拆式工具機滑座之最佳化設計與研發」,科學與工程技術期刊,第7期,第3卷,第61-74頁。
23. 王栢村,陳昱成,2011,「車架與前叉組合件之模型驗證與衝擊試驗響應預測」,機械技師學刊,第2期,第4卷,第26-33頁。
2. Adhikari, S., 2006, “Damping Modeling and Identification Using Generalized Proportional Damping,” Journal of Sound and Vibration, Vol. 293, Issue 1-2, pp. 156-170.
4. Adhikari, S. and Woodhouse, J., 2001, “Identification of Damping: Part 1,Viscous Damping,” Journal of Sound and Vibration, Vol.243, Issue 1, pp.43-61.

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