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多刚体系统动力学方向矢量模型及多步块数值方法 被引量:3
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作者 王桢 丁洁玉 《应用数学和力学》 CSCD 北大核心 2020年第12期1323-1335,共13页
使用方向矢量法描述了多刚体系统动力学模型,将指标3的微分-代数方程降至指标1,构造多步块数值求解格式,对一个多刚体系统进行了长时间仿真计算.仿真实验表明:在相同时间步长下,多步块方法解决指标1的方程在能量误差、位移约束、速度约... 使用方向矢量法描述了多刚体系统动力学模型,将指标3的微分-代数方程降至指标1,构造多步块数值求解格式,对一个多刚体系统进行了长时间仿真计算.仿真实验表明:在相同时间步长下,多步块方法解决指标1的方程在能量误差、位移约束、速度约束、加速度约束以及方向矢量约束的保持上比经典Runge-Kutta方法效果好;Chebyshev多项式零点和Legendre多项式零点构造的多步块格式,在最大能量误差以及方向矢量约束误差方面的控制上要比等距节点构造的多步块方法所得的结果更好;在长时间仿真下,多步块格式依然能够保持较好的计算精度,能够克服Runge-Kutta方法不适应长时间仿真的缺点. 展开更多
关键词 多体系统动力学 方向矢量法 微分-代数方程 多步块格式
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Road Surface Modeling and Representation from Point Cloud Based on Fuzzy Clustering 被引量:5
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作者 ZHANG Yi YAN Li 《Geo-Spatial Information Science》 2007年第4期276-281,共6页
A scheme for an automatic road surface modeling from a noisy point cloud is presented. The normal vectors of the point cloud are estimated by distance-weighted fitting of local plane. Then, an automatic recognition of... A scheme for an automatic road surface modeling from a noisy point cloud is presented. The normal vectors of the point cloud are estimated by distance-weighted fitting of local plane. Then, an automatic recognition of the road surface from noise is performed based on the fuzzy clustering of normal vectors, with which the mean value is calculated and the projecting plane of point cloud is created to obtain the geometric model accordingly. Based on fuzzy clustering of the intensity attributed to each point, different objects on the road surface are assigned different colors for representing abundant appearances. This unsupervised method is demonstrated in the experiment and shows great effectiveness in reconstructing and rendering better road surface. 展开更多
关键词 surface modeling point cloud distance-weighted fitting fuzzy clustering normal vectors INTENSITY
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A CONTROL ALGORITHM FOR RAPID MOVEMENTS NEAR THE RADIUS COMPENSATION SINGULARITY IN FIVE-AXIS END MILLING
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作者 WANG Feng LIN Hu +3 位作者 ZHENG Liaomo LIU Feng YANG Lei GENG Cong 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2013年第5期718-734,共17页
When the five-axis CNC system executes the 3D cutter radius compensation function,the angle between two adjacent radius compensation vectors might become very large and the linear axes would move too fast if the tool ... When the five-axis CNC system executes the 3D cutter radius compensation function,the angle between two adjacent radius compensation vectors might become very large and the linear axes would move too fast if the tool orientation vector is close to the surface normal.The reason that results in this phenomenon is analyzed based on building the transmission relationship between the cutter contact point and the cutter location point.By taking the square-end tool as an example,an optimization algorithm to control the undesired movements is advanced.For the singular area where sudden change exists,the number of interpolation cycles is determined by the cutter feedrate,the limit speeds of machine axes and the maximum allowable angle between radius compensation vectors of adjacent NC blocks.The radius compensation vector of each interpolation cycle is obtained by a kind of vector rotation method.By maintaining the perpendicularity between the radius compensation vector and the tool orientation vector,the rapid movements of the linear axes are eliminated.A trial-cut experiment is performed to verify the correctness and the effectiveness of the proposed algorithm. 展开更多
关键词 Five-axis machining motion control SINGULARITY 3D radius compensation.
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