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A new error-controllable method for smoothing the G01 commands 被引量:3
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作者 Min WAN Wan-Jing XING +2 位作者 Yang LIU Qun-Bao XIAO Wei-Hong ZHANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2019年第7期1756-1771,共16页
In real machining, the tool paths are composed of a series of short line segments, which constitute groups of sharp corners correspondingly leading to geometry discontinuity in tangent. As a result, high acceleration ... In real machining, the tool paths are composed of a series of short line segments, which constitute groups of sharp corners correspondingly leading to geometry discontinuity in tangent. As a result, high acceleration with high fluctuation usually occurs. If these kinds of tool paths are directly used for machining, the feedrate and quality will be greatly reduced. Thus, generating continuous tool paths is strongly desired. This paper presents a new error-controllable method for generating continuous tool path. Different from the traditional method focusing on fitting the cutter locations, the proposed method realizes globally smoothing the tool path in an error-controllable way. Concretely, it does the smoothing by approaching the newly produced curve to the linear tool path by taking the tolerance requirement as a constraint. That is, the error between the desired tool path and the G01 commands are taken as a boundary condition to ensure the finally smoothed curve being within the given tolerance. Besides, to improve the smoothing ability in case of small corner angle, an improved local smoothing method is also proposed by symmetrically assigning the control points to the two adjacent linear segments with the constrains of tolerance and G3 continuity. Experiments on an open five-axis machine are developed to verify the advantages of the proposed methods. 展开更多
关键词 energy approximation method Error-controllable global SMOOTHING method G3 CONTINUITY Local SMOOTHING method Quasi-uniform quintic Bspline CURVE
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能量近似法在深水长桩自由站立分析中的应用
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作者 李娟 尹晓明 +2 位作者 王江宏 张孝卫 于志强 《天津科技》 2018年第5期34-37,41,共5页
由于欧拉公式的局限,目前深水长桩自由站立分析中考虑桩身重量时是将自由站立桩段简化为统一壁厚(一般取最薄壁厚)来计算的,计算结果偏保守,导致所需桩段壁厚往往较实际要厚。从铁木辛柯弹性稳定理论为基础,采用能量近似法来计算桩自由... 由于欧拉公式的局限,目前深水长桩自由站立分析中考虑桩身重量时是将自由站立桩段简化为统一壁厚(一般取最薄壁厚)来计算的,计算结果偏保守,导致所需桩段壁厚往往较实际要厚。从铁木辛柯弹性稳定理论为基础,采用能量近似法来计算桩自由站立状态轴向许用荷载,实现了对钢桩壁厚的优化,可应用于实际工程。 展开更多
关键词 能量近似法 轴向许用荷载 自由站立分析 深水长桩
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基于能态近似法的再入轨迹优化设计 被引量:2
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作者 涂良辉 袁建平 +1 位作者 方群 罗建军 《西北工业大学学报》 EI CAS CSCD 北大核心 2007年第3期393-397,共5页
针对间接法中,终端积分时间在迭代前后无法相同这一问题,介绍了能态近似法在再入飞行器三维轨迹最优化问题中的应用。首先给出了再入飞行器轨迹最优化控制问题模型,其中运动方程为三自由度模型,性能指标选为飞行器再入过程中所受的总加... 针对间接法中,终端积分时间在迭代前后无法相同这一问题,介绍了能态近似法在再入飞行器三维轨迹最优化问题中的应用。首先给出了再入飞行器轨迹最优化控制问题模型,其中运动方程为三自由度模型,性能指标选为飞行器再入过程中所受的总加热量最小,控制变量则为迎角和滚转角。再入飞行过程中受到加热率、过载和动压约束,终端状态约束分别为速度、航迹倾角、高度、经度和纬度约束。文中引入了比能的概念,代替时间变量作为新的积分变量,此时末端能量只由终端速度和终端高度确定,从而解决了积分终止条件的固定问题。应用共轭梯度法和乘子法对带有约束的最优控制问题进行求解。通过仿真,计算机实时生成了一条满足终端约束条件、控制量约束条件的最优化轨迹。仿真结果表明该方法具有一定的实时性,且精度较高。仿真得到的最优轨迹能够满足飞行器自主导航对轨迹实时性的要求,具有较好的工程应用前景。 展开更多
关键词 间接优化法 轨迹优化 能态近似法 乘子法 共轭梯度法
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