%0 Journal Article
%T 基于Pythagorean Hodograph T-曲线的过渡曲线的构造<br>Construction of Transition Curve Based on Pythagorean Hodograph T-Curve
%A 杨雪
%A 彭兴璇
%J Advances in Applied Mathematics
%P 234-243
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/AAM.2024.131026
%X 本文基于平面三次T-Bézier曲线，定义了三次T-PH曲线，研究了T-PH曲线的代数和几何特征，进而利用三次T-PH曲线构造了两圆互不包含的情况下的C型过渡曲线，给出圆心距的取值范围，并证明了过渡曲线的唯一性。最后给出数值实例，验证了方法的可行性。<br />
In this paper, we define the cubic T-PH curve and study the algebra and geometric characteristic of T-PH curve. In addition, a non-circle transition curve is constructed as a C-type transition curve us-ing cubic T-PH curve, giving the value range of the center distance, and proving the uniqueness of transition curve. Finally, numerical examples are given to verify the feasibility of the method.
%K 三次T-PH曲线，几何特征，过渡曲线<br>Cubic T-PH Curve
%K Geometric Characteristic
%K Transition Curve
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=79632