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  • 學位論文

壓電搪磨機具之設計分析

Design and Analysis of A Piezoelectric Honing Apparatus

指導教授 : 丁鏞

摘要


本技術報告是評估一種新的內孔搪磨方法 – 徑向輔助振動搪磨;即設計一中空金屬圓柱管在其上貼覆壓電圓殼片,以此作為可轉換搪磨插件並套用於研磨機座;將鑽孔加工後的工件進行二次精細研磨,以提高尺寸精度、真圓度與圓筒度等。 操作方式是將壓電圓殼片貼覆於中空金屬圓柱管末夾持端之前,在壓電圓殼片靠中空金屬管末及中空金屬管前後作邊界束缚,利用其第一半波模態進行加電壓後的簡諧振動,在最大振幅處貼覆研磨材進行研磨。分析及驗證手法是將相關的增大振幅的幾何設計組合列出,藉由ANSYS的簡諧振動,模擬出最理想狀態,再利用光纖干涉儀偵測、振動控制器轉換後,在示波器上顯現頻率及電壓後再運算出振幅。記錄並利用統計數據分析方法找出最佳的組合。分析及驗證後得到兩個結論:在定量方面:最佳組合的模擬值與實驗值之間約為10:1的落差,其原因主要為實驗組的邊界束缚不完全。在定性方面:金屬管壁、壓電殼厚度對壓電殼強迫振動有顯著的影響;管壁薄、厚度小較好。頻率和位移的再現性及再生性是一致的。

並列摘要


The purpose of this technical report was to evaluate a new honing mechanism - radial forced vibration, which is different from the commonly used axial forced vibration in industrial applications. Design a pluggable piezoelectric honing tube by a hollow cylindrical metal tube with open piezoelectric shells bounded on the surface. Take this honing tube and connect with XYZ positioning stage to do fine polishing inside the long tubes so that improving surface roughness and dimension accuracy. To achieve this specific honing mechanism, perfect boundary constraints on tube and shells are necessary to provide. And then, attach abrasive cloth on the maximum displacement position which is caused by first half wave mode harmonic vibration of hollow cylindrical metal tube induced by piezoelectric forced vibration. Analysis and verification methods by using Timoshenko beam theory, ANSYS simulation, and statistical skill are used to find out various design conditions. From the, the best performance parameters are chosen to carry out experiment. Experiment results show two conclusive observations: 1). the ratio between analysis and experiment data was 10:1 since boundary constraints are sensitive to displacement variance; 2.) reduction of the wall thickness of metal tube and piezoelectric shells is beneficial to get better vibration quality of experiment tube and shells. The repeatability and reproducibility of frequency and displacement was consistent.

參考文獻


[2] Dongming Sun, Sheng Wang, Seiichi Hata, Junpei Sakurai,and Akira Shimokohbe “Theoretical and Experimental Investigation of Traveling Wave Propagation on a Several-Millimeter-Long Cylindrical Pipe Driven by Piezoelectric Ceramic Tubes”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 57, no. 7, July 2010
[3] Yu-Hsi Huang and Chien-Ching Ma, “Experimental Measurements and Finite Element Analysis of the Coupled Vibrational Characteristics of Piezoelectric Shells”, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 59, no. 4, April 2012
[4] Anooshiravan Farshidianfar, Pouria Oliazadeh, “Free Vibration Analysis of Circular Cylindrical Shells: Comparison of Different Shell Theories” International Journal of Mechanics and Applications 2012, 2(5): 74-80
[5] Daeseung Kim, Jin Oh Kim, “Generation and propagation of elastic waves on a pipe by open-shell transducers”, Journal of Mechanical Science and Technology 25 (10) (2011) 2475~2484, KSME & Springer 2011
[6] Daeseung Kim, Jin Oh Kim, Soon Il Jung, “Vibration characteristics of a piezoelectric open-shell transducer”, Journal of Sound and Vibration 331(2012) 2038–2054, Elsevier 2011

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