頁籤選單縮合
題 名 | 單曲線半徑及外偏角參數解算之進一步探討=An Further Investigation of Solving the Radius and Deflection Angle of a Simple Curve |
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作 者 | 高書屏; | 書刊名 | 測量工程 |
卷 期 | 41:2 1999.06[民88.06] |
頁 次 | 頁17-28 |
分類號 | 442.11 |
關鍵詞 | 曲線參數; 外偏角; 牛頓-拉夫遜法; 循環求解法; Curve element; Deflection angle; Newton-raphson method; Iteration method; |
語 文 | 中文(Chinese) |
中文摘要 | 一般而言,單曲線可藉由七個曲線參數來定義。當其中任意兩個參數為已知時, 其餘五個參數可以直接求得。但在某些實際狀況下,常有半徑及外偏角參數未知的情況發生 ;本文提出了六種利用其餘兩參數直接計算半徑及外偏角參數的新公式。本文亦深入探討了 各種曲線參數循環求解法公式,並舉例說明,而利用本文提出之直接計算公式計算之值與他 法相較亦得到了相同的答案。本文提出之該等直接計算公式不須求解導數及循環求解,因而 較先前專家學者們針對同樣條件提出之牛頓 -- 接夫遜法及循環求解法具有計算較簡便之優 點。 |
英文摘要 | In general, a simple curve can be defined by seven curve elements. When any two of the seven elements are given, the other five curve elements can be directly computed. In some practical problems, when the radius and deflection angle are sometimes unknown. Six equations are proposed in this paper to solve them directly depending on the two other known curve elements. The paper also presents a numerical example of some iteration formulas used for finding the unknown elements and the results calculated from the equations proposed by the author show the same values. Unlike the Newton-Raphson method and the iteration method proposed earlier by other researchers, the proposed equations in this paper require no derivative and iteration. Thus the computations are simpler. |
本系統中英文摘要資訊取自各篇刊載內容。