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刚体定点运动的有限转角应是轴矢量 被引量:4
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作者 石晓斌 《黄淮学刊(自然科学版)》 1996年第1期68-71,共4页
从运动的叠加原理和定点运动的欧拉定理,按逻辑和理论的自洽性,说明定点运动的有限转角应是轴矢量;分析两次有限转动不能对易从而认为有限转角不是失量的例证的错误根源;阐述代表刚体定点运动的两种实际转动可以对易,从而论证刚体... 从运动的叠加原理和定点运动的欧拉定理,按逻辑和理论的自洽性,说明定点运动的有限转角应是轴矢量;分析两次有限转动不能对易从而认为有限转角不是失量的例证的错误根源;阐述代表刚体定点运动的两种实际转动可以对易,从而论证刚体定点转动的有限转角的轴矢量性. 展开更多
关键词 定点运动 有限转角 刚体运动 轴矢量性
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Continuity control method of cutter posture vector for efficient five-axis machining
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作者 HWANG Jong-dae KIM Sang-myung +1 位作者 JUNG Hyun-chul JUNG Yoon-gyo 《Journal of Central South University》 SCIE EI CAS 2011年第6期1969-1975,共7页
During five-axis machining of impeller, the excessive local interference avoidance leads to inconsistency of cutter posture, low quality of machined surface and increase of processing time. Therefore, in order to impr... During five-axis machining of impeller, the excessive local interference avoidance leads to inconsistency of cutter posture, low quality of machined surface and increase of processing time. Therefore, in order to improve the efficiency of five-axis machining of impellers, it is necessary to minimize the cutter posture changes and create a continuous tool path while avoiding interference. By using an MC-space algorithm for interference avoidance, an MB-spline algorithm for continuous control was intended to create a five-axis machining tool path with excellent surface quality and economic feasibility. A five-axis cutting experiment was performed to verify the effectiveness of the continuity control. The result shows that the surface shape with continuous method is greatly improved, and the surface roughness is generally favorable. Consequently, the effectiveness of the suggested method is verified by identifying the improvement of efficiency of five-axis machining of an impeller in aspects of surface quality and machining time. 展开更多
关键词 five-axis control machining CONFIGURATION-SPACE B-SPLINE continuity control method IMPELLER interference
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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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