Study of Estimation of Damping Coefficient and Angular Displacement for Air Motor Rotation Experiment

估算氣壓馬達轉動實驗之阻尼係數與角位移的研究

林榮慶(Zone-Ching Lin) ； 黃欽正(Chen-Jenq Huang)

《中國機械工程學刊》 29卷4期 (2008/08) Pp. 271-280

https://doi.org/10.29979/JCSME.200808.0001

摘要

本文的目的是發展一逆解模式，可以估算一個氣壓馬達轉動系統之阻尼係數，同時也計算得到氣壓馬達轉動的角位移。在本文研究的兩種模式，包括逆解模式與前向差分模式。本文將逆解模式計算得到的角速度與量測得到的實驗角速度作一比較，將本文提出的逆解模式再結合Tikhonov正則化法與Levenberg-Marquardt法進行疊代計算的最佳化及靈敏度分析。本文提出之逆解模式的優點是經由疊代計算可以同時得到阻尼係數與角位移。綜合分析結果，本文所提出的逆解模式對氣壓馬達轉動實驗，確可同時計算得到合理的阻尼係數與角位移。

並列摘要

The purpose of this paper is to develop an inverse model that can estimate the damping coefficient for an air motor rotation system and simultaneously calculate the angular displacement of air motor rotation. The two models studied in this paper include the inverse model and the forward difference model (FDM). The angular velocity calculated by this inverse model is compared with the experimental angular velocity, and then this inverse model combines Tikhonov regularization method with Levenberg-Marquardt method to conduct the optimization and sensitivity analysis of iteration calculation. The advantage of this proposed inverse model is that the damping coefficient and the angular displacement can be simultaneously acquired through iteration calculation. Synthesizing the analytic results, this paper concludes that using inverse model for the air motor rotation experiment can calculate reasonable damping coefficient and angular displacement simultaneously.

並列關鍵字

damping coefficient ； inverse model ； air motor