四次多項式七段曲線構成之凸輪曲線探討

A Study of Cam Profile By Seven Sections of Curves in Fourth-Order Polynomial Function

郭羿承(I-Chen Kuo)

指導教授 ： 蔡國隆

國立臺北科技大學/機電學院/車輛工程系所/碩士(2007年)

https://doi.org/10.6841/NTUT.2007.00394

摘要

凸輪曲線之設計在引擎系統之性能要求與動態噪音特性等方面佔有極重要的地位，因此此部份設計之研究發展便格外的重要，亦極具設計之附加價值。
本文主要以多項式展開(Polynomial expansion)之方法及參數無因次化(Non-dimensional)的方式對於凸輪曲線進行間斷連續曲線之逼近結合設計，此法雖須經試誤的過程加以進行，但藉由此法可較前人研究結果得到較理想且較佳的設計。
第二部份將探討兩個主題，第一主題是以四次多項式七段曲線模擬法修正其Daniel Clark Park凸輪設計法之曲線缺點，而另一主題則以一市售車引擎凸輪曲線為基礎，而設計其另一最佳化凸輪曲線。
第三部份，將已完成四次七段曲線多項式程式，以MATLAB之GUI方式包裝為視窗介面，使往後使用者能以這套程式來修訂或是設計其理想之凸輪曲線，並觀察其凸輪曲線動態之情形

關鍵字

凸輪 ； 多項式展開 ； 間斷連續

並列摘要

The design of the cam profile occupies the extremely important position in the performance of the engine system and dynamic noise characteristic, etc.
The performance of a cam-following machine depends directly on the design of the cam profile. For this design, we propose a successive, seven-curve and piecewise-continuous, non-dimensional fourth-order polynomial-expansion assembling technique, using a second-order polynomial expansion for acceleration in the cam rise interval. Through proper setting of the boundary conditions pertaining to the follower motion, the piecewise cam lift profile was connected smoothly for displacement, velocity and acceleration. This technique makes the cam profile design more flexible and reasonable for optimal translational motion of the cam follower.
In the second part, we will probe two themes. The first theme is shortcomings of revising cam design of Daniel Clark Park with fourth order polynomial function. The second topic is based on the cam profile of a motorcycle of engines. The Fourth-order polynomial method is need design a better cam profile.
Third part, we make and become the window interface by way of GUI of MATLAB for the function already finished. The window interface will enable user to revise or design its ideal cam profile, and simulate its dynamic behavior.

並列關鍵字

cam profile ； polynomial function ； piecewise-continuous method

參考文獻

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