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研究生:林芳生
研究生(外文):Fang-Sheng Lin
論文名稱:壓電傳送平台之最佳化設計
論文名稱(外文):Optimum Design of a Piezo-Feeder Based on Dynamic Analysis
指導教授:趙昌博
指導教授(外文):Paul C.-P. Chao
學位類別:碩士
校院名稱:中原大學
系所名稱:機械工程研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2006
畢業學年度:94
語文別:英文
論文頁數:59
中文關鍵詞:田口法Rayleigh-Ritz方法基因演算法最佳化
外文關鍵詞:Taguchi methodgenetic algorithmRayleigh-Ritz methodoptimization
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本論文主要為分析工業用之物件傳送平台,建立其動態理論模型並利用田口法(Taguchi Method)作平台之設計參數分析,再以基因演算法(Genetic Algorithm)找出平台之參數最佳化設計。此機構是以平行壓電致動器作為主要的驅動來源,經由兩平行樑同步的振動,使平台產生週期性之擺動,導致平台上之物件受到帶動向前達到傳輸的效果。在模型建立方面,依據此機構各部分的材料和壓電特性,利用Rayleigh-Ritz方法,將原系統簡化為橫向振動懸臂樑結構,並假設三個低階的Assumed modes即可描述出壓電平行樑之複雜動態,建立出平台的動態方程式,再藉由物件與平台間的撞擊關係,可得兩者之間的相互運動,物件的傳輸速度即可求得。在參數分析方面,選定懸臂之傾斜角度、壓電驅動電壓、頻率、物件質量和碰撞係數等5種設計參數,由田口法分析各參數對其傳輸速率的影響。最後再利用基因演算法設計其最佳之懸臂傾斜角度,以實現最快的傳輸效率。本論文利用數值模型所推估之平台動態與物件傳送速度,可與實際實驗值達到一致。
The study is intended to establish an analytic model of the industrial-used part feeder, furthermore analyzing, optimizing the design parameters of that one via Taguchi Method and Genetic Algorithm based on dynamic analysis. A part feeder contains mainly a horizontal platform powered by parallel-beam piezoelectric actuators. The parts to be transported on the platform march forward due to their intermittent collision with the platform. The modeling technique used is essentially the Rayleigh-Ritz method, which first incorporates material properties and constitutive equations of the piezoelectric materials. Then it captures the complex dynamics of the parallel-beam piezo-feeder by three lower-order assumed modes in the transverse direction of the vibrating beam. Based on preceding equations, the dynamic functions of part feeder can be obtained. With impact dynamics, that prescribes the collision between the parts and the platform, investigated next, the marching speed of the parts can be predicted. Parametric analysis via Taguchi method would analyze the effects of 5 design parameters of a part feeder on transport speed of parts, and those design parameters include tilt angle of the piezo-beam, magnitude and frequency of input voltage, mass of part and coefficient of restitution. Genetic Algorithm (GA) is further utilized to find the tilt angle of the piezo-beam leading to the best transport speed. Numerical and experimental studies are conducted to acquire the estimated marching speed of the parts and verify theoretical findings.
摘 要 I
Abstract II
致 謝 III
Table of Contents IV
Nomenclature VI
Figure Captions VIII
Table Titles X
1. Introduction 1
2. Dynamic Modeling and Experiment Verification 3
2.1 Dynamic Modeling of Bimorph piezoelectric beams 3
2.2 The Impact Dynamics of the Parts 8
2.3 Numerical Simulation and Experiment Verification 13
3. Parametric Analysis via Taguchi Method 17
3.1 Determination of Control Factors 17
3.2 Experimental Simulation 18
3.3 Data Analysis 19
3.3.1 S/N ratio 19
3.3.2 Factorial effects 20
4. Optimum Design via Genetic Algorithm 21
4.1 Genetic Algorithm Overview 21
4.2 Implementation of Genetic Algorithm 22
4.2.1 Genetic operators 22
4.2.2 Simulated results of GA optimization 23
4.3 Discussion 23
5. Conclusions and Future Works 26
Reference 28
Figures 30
Tables 45
Autobiography 49
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[5] Gosavi, S. V. and Kelkar, G., “Modeling, identification, and passivity-based robust control of piezo-actuated flexible beam,” ASME J. of Vibration and Acoustics, 2004, 126(2), pp. 260-271.
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[8] Fung, R. F., Chao, S. C. and Kung, Y. S., “Piezothermoelastic analysis of an optical beam deflector,” Sensors and Actuators A: Physical, 2001, 87, pp. 179-187.
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[16] Jhou, P. C., “The Theorems and applications of Genetic algorithms,” CHWA Publishers Co., Ltd., 1991.
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