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平面两圆弧相离情况下G2连续过渡曲线构造

Reconstruction of G2 Transition Curve for Two Separated Circular Arcs

  • 摘要: 使用待定系数方法,找到一对合适的三次Bézier spiral线来构造平面两相离圆弧间G2连续过渡曲线.该方法能通过二次方程求根公式得到解析解,克服了传统方法需使用数值方法的缺陷,使得计算简化和方便;且两圆弧半径大小比例不受限制,应用范围更加广泛.最后用实例表明了该方法的有效性.

     

    Abstract: Based on undetermined coefficient method,a way is proposed for reconstructing G2 transition curve for two separated planar circular arcs.The transition curve is reconstructed by using a pair of cubic Bézier spirals and can be gotten by solving a quadratic equation which simplifies the computation procedure,however traditional methods require solving numerical process.In our method,the ratio of the two circular arcs has no restriction so that the application field is extended.Experimental results show that the proposed method is effective.

     

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