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G2连续

G2连续的相关文献在1994年到2021年内共计70篇,主要集中在自动化技术、计算机技术、数学、机械、仪表工业 等领域,其中期刊论文64篇、会议论文2篇、专利文献560265篇;相关期刊41种,包括安徽科技学院学报、浙江大学学报(理学版)、吉林师范大学学报(自然科学版)等; 相关会议2种,包括第三届中国几何设计与计算大会、第14届全国图学教育研讨会暨第6届制图CAI课件演示交流会等;G2连续的相关文献由128位作者贡献,包括彭丰富、叶正麟、李重等。

G2连续—发文量

期刊论文>

论文:64 占比:0.01%

会议论文>

论文:2 占比:0.00%

专利文献>

论文:560265 占比:99.99%

总计:560331篇

G2连续—发文趋势图

G2连续

-研究学者

  • 彭丰富
  • 叶正麟
  • 李重
  • L·布鲁尼尔
  • N·格雷塞特
  • 严兰兰
  • 余宏杰
  • 刘元兴
  • 刘晓黎
  • 吴义忠
  • 期刊论文
  • 会议论文
  • 专利文献

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    • 李乾坤; 赵现朝; 高鹏; 石继超; 霍晓锐
    • 摘要: 针对计算机辅助制造系统(CAM)生成的五轴线性刀具路径仅满足G0连续从而影响加工精度和工件表面质量的问题,提出了一种使用模拟退火优化控制点权重的等距双NURBS路径平滑方法.基于线性路径的夹角,将线性刀具路径分为局部平滑段和整体平滑段,选取辅助控制点实现不同平滑方式得到的NURBS路径的G2连续性.刀尖路径和刀轴路径采用相同参数,使用模拟退火分别优化刀尖和刀轴路径的控制点权重,得到满足位置误差要求的等距双NURBS路径.经过仿真分析和实验加工验证了该方法平滑刀具路径的有效性.
    • 宋九锡; 王研; 沈洋; 秦凌云; 彭兴璇
    • 摘要: 本文通过选取恰当的带参数Bézier曲线模型,得到其成为PH曲线的几何特征条件,构造了一类带参数的三次PH曲线。基于该曲线,构造了不互相包含两圆之间的过渡曲线,该曲线是G2连续的C型过渡曲线,并且在一定条件下,曲线内部的曲率有且仅有一个曲率极值点。数值例子验证了该方法的有效性。
    • 李文森; 管声启; 郑璐; 梁洪
    • 摘要: 目前数控加工参数曲线轨迹时,常采用连续线性小线段逼近的方法来克服参数曲线的复杂计算需求.但是,有限的驱动能力和线段连接处存在切向不连续,使得在这些拐点处速度必须降低到零,这种频繁加减速会降低加工效率和表面加工质量.为此,提出一种基于羊角曲线的过渡曲线光顺方法,能够实现加工轨迹的G2连续、轮廓误差可控和光顺速度非零的运动效果.首先,基于几何约束计算出拐角处的光顺曲线几何特征和弧长;其次,基于几何特征和运动学约束,通过双向看策略获得速度敏感点的允许速度.最后,确定速度规划和生成精细插补指令.仿真结果表明,该方法能够满足预先设定的轮廓误差,可有效实现拐角点的速度光顺,缩短加工时间.%At present, the method of continuous linear small line segment approximation is often used to overcome the complex calculation of parameter curve in NC machining. However, there is limited driving capacity and tangential discontinuity at the junctions of the continuous line segment, which reduces the feedrate to zero at these corner points. This frequent acceleration and deceleration will reduce the machining efficiency and surface quality. A transition curve smoothing method based on clothoid curves is proposed, and it can achieve the G2 continuous machining path, controllable approximation error and non-zero smoothing feedrate. Firstly, geometric characteristics and arc length of smoothing curves at corners are calculated based on geometric constraints. Secondly, the allowable feedrate of feedrate sensitive points is obtained through bidirectional scanning, based on geometric characteristics and kinematic constraints. Finally, the feedrate scheduling and the generation of interpolation instructions are determined.The simulation results show that this method can satisfy the pre-set approximation error, effectively realize the feedrate smoothing of corner points, and shorten the processing time.
    • 李东; 张立强; 陈阳
    • 摘要: 小线段所描述的曲线轨迹在相邻线段的转角处,由于在切线方向会发生突变,曲率也不连续,从而导致了刀具加工中,在通过转角处时会发生速度波动和加速度突变.笔者提出一种基于三次B样条插值拟合的连续小线段路径全局光顺算法,对满足转角和弓高误差约束的连续小线段进行插值拟合,使拟合刀具路径达到G2连续,从而有效提高进给速度,改善加工质量,提高加工效率.最后通过仿真实验验证了本文中算法是有效的.%The tool path described for small segments are discontinuous at the corners of adjacent segments due to abrupt changes in the tangential direction,which will lead to speed fluctuations and abrupt acceleration in the tool processing through the corner.In this paper,a global smoothing algorithm for continuous small line segments based on cubic B-spline interpolation was proposed.The interpolation of small continuous line segments should satisfy the constraints of corner and bow height errors,so that the tool path could reach G2 continuous,which could effectively improve the feed rate,improve the processing quality,as well as improve processing efficiency.Finally,the simulation results showed that the algorithm was effective.
    • 蔡玉俊; 张晨
    • 摘要: Matching high accuracy surface process in Class-A surface reconstruction is complicated.It needs a large number of operations,and cannot modify due to do not retain parameters after the surface fitting.There exist many problems which causing surface reverse reconstruction work repeatedly,therefore the thesis put forward a kind of accurate and efficient method for surface reconstruction.According to the discrete point cloud based on K-neighborhood search,using the multi-mode subsection interpolation fitted curvature continuous curves such as line,arc and other ways,retain parameter characteristics to modify conveniently,and then using the NURBS theory to fit surface,ensure the surface fitting accuracy and curvature continuous transition though adjusting the control points and the node vector or other factors.Through the analysis of case,the fitting method of Class-A surfaces is quick and accurate,it retains the shape parameter and improve the accuracy and efficiency of surface reconstruction.%A级曲面重构中拟合高精度曲面过程复杂繁琐,需要进行大量运算,且曲面拟合后没有保留参数特征,无法编辑修改,进而造成曲面逆向重构工作反复进行.针对上述问题提出一种高效准确的方法进行曲面重构.根据K-邻域搜索的离散点云,采用直线、圆弧等多方式分段插值拟合出曲率连续过渡的曲线,保留参数特征,方便修改;再利用NURBS理论拟合曲面,通过调整控制点、权因子和节点矢量等因素,确保曲面拟合精度和曲率连续过渡.经过实例分析,此方法拟合A级曲面快速准确,并保留了曲面形状参数,提高了曲面重构的精度和效率.
    • 刘莹莹; 王旭辉
    • 摘要: Cubic PH curves were used to construct the transition curves between two circles where one circle is not included in the other one .The transition curves are G2 continuous at the two endpoints . Under the assumption that one circle is not included in the other one ,the curvature of the curve at the endpoints is positive or negative simultaneously .Thus ,C‐shaped transition curves can be construc‐ted .Moreover ,under some special conditions ,the cubic PH transition curve is unique .An algorithm is also provided to generate the cubic PH transition curves .Finally ,the effectiveness of the presented method is demonstrated by some numerical examples .%文章采用三次P H曲线构造两圆之间的过渡曲线(两圆不相互包含的情况),该过渡曲线满足G2连续条件。因为在两圆不相互包含的情况下,曲线两端点处曲率同号,所以能构造出C型过渡曲线。在一定条件下,可以证明两圆之间存在唯一的三次PH过渡曲线。此外,文章还给出了该过渡曲线的构造算法,并通过实例验证了该方法的有效性。
    • 刘栋; 张旭; 金龙; 冯兴辉
    • 摘要: 针对特征间G2连续约束条件难于满足,导致截面重构质量不理想的问题,提出了一种有效的G2连续截面数据重构方法.文章重点研究圆弧特征与自由特征间边界约束为G2连续的截面数据重构.优先重构圆弧特征,然后基于边界G1连续约束模型重构自由特征;插入最优节点,微调控制点满足严格G2连续约束条件.实例表明该方法能够保证截面重构质量,缩短截面重构周期.从而解决包含圆弧与B样条曲线的截面特征重构问题.
    • 彭丰富; 田良
    • 摘要: 目的 样条曲线曲面的构造是工程制图中的一个重要部分.针对双曲抛物面上参数样条曲线的构造,在已有的研究基础上提出了一种样条方法使曲线曲面可以任意地逼近一个多边形或者一个网格.方法 在标准四面体内构造一个双曲抛物面,在该曲面上以基函数参数化的方法定义一种带形状参数的参数样条曲线曲面,样条基函数通过将双曲抛物面的有理参数化进行限定,生成单参数有理样条基函数.详细研究了样条的保形性及其端点性质.结果 样条曲线具有一个可变的形状控制因子,可以对曲线进行调整,能以任意精度逼近这个控制四边形或网格.对空间节点列,利用该样条可以生成G2-连续空间曲线,同样对于空间网格可以构造G2-连续的拟合曲面,它所对应的基函数可以是有理形式.结论 实验结果表明,本文在笔者已有的研究基础上提出的参数样条曲线可以通过重心坐标系变换适应为任意的四边形,除了空间四面体内的样条曲线,四面体退化成四边形同样可实现.
    • 刘诗汉; 马虎
    • 摘要: To promote the numeralization of aero-turbine blade design and relieve engineers from heavy designing calculation, a modeling technique of an aero-turbine blade is developed based on CATIA. At first, the geometric features and factors which impact its performance and strength of a blade are analyzed, and some parameters are selected to control the pattern of the section of a blade. Then, some tools and functions of knowledge engineering built in CATIA are used to construct a blade. The technique results to parameterization of aero-turbine blade design, and is proved to be effective while modeling a blade which has a G2 class continuity surface and contours of sections at different radial distance.%为提高航空涡轮叶片设计的数字化水平,减轻设计人员的设计计算量,开发了一种基于CATIA的航空涡轮叶片建模方法。首先在分析涡轮叶片几何特征及其气动性能和结构强度的影响因素,确定了叶片截面形状的控制参数,再运用内建于CATIA的知识工程工具和函数,构造三维涡轮叶片。该方法实现了涡轮叶片设计的参数化,所设计叶片的叶身曲面和不同径向位置的截面曲线均达到G2连续
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