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等效旋转
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  equivalent rotation
     With the torpedo SINS as an example, two kinds of strapsown attitude errors,coming from respectively the quaternion algorithms and the optimizing three samples based on the equivalent rotation vector,are analyzed and compared with each other.
     以鱼雷捷联惯性姿态基准为例 ,对四元数法的捷联姿态算法误差和基于等效旋转矢量的优化的三子样捷联姿态算法误差进行了分析比较 .
短句来源
     On the basis of study on generalized pose and the theorem that rotation transformation from the base coor-dinate to an arbitrary one can be described as a single equivalent rotation about a given rotational axis,it isproposed that the orientation of robot can be described by using the vector of equivalent angular displace-ment. The concept of pose motor and its Pl(u|¨)cker linear coordinate are established and used to describe the po-sition and orientation of robot.
     在研究机器人广义位姿的基础上,依据从基坐标系列任一坐标系的旋转变换可以通过绕基坐标系中的瞬时转动轴的等效旋转来实现的原理,提出用等效角位移矢量来描述机器人姿态以及用姿态旋量及其 Pl(u|¨)cker线坐标来描述机器人的位姿.
短句来源
     RESEARCHING THE EQUIVALENT ROTATION USING THE THEORY OF SPHERICAL FRAME VECTORS
     用球面向量研究等效旋转问题
短句来源
     According to the theory that the rotation transformation from the base coordinate to an arbitrary one can be described by a single equivalent rotation about a given rotational axis, it is proposed that the orientation of robot can be described by using the vector of equivalent angular displacement. And the concept of pose motor and its Plucker linear coordinate are established and used to describe the position and orientation of robot.
     依据从基坐标系到任一坐标系的旋转变换可以通过绕给定轴的一次等效旋转来实现的原理,提出用等效角位移矢量来描述机器人的姿态,并进而提出用姿态旋量及其Plucker线坐标来描述机器人的位姿。
短句来源
     From the concept of equivalent rotation the basic equations of twin stator induction motors were first deduced. Then frequency reflection and winding reflection were operated upon the basic equaˉtions. At last equivalent circuit withΠshape of twin stator induction motors was given.
     本文从等效旋转概念出发 ,先导出双定子感应电动机的基本方程 ,然后进行频率折算和绕组折算 ,最后导出双定子感应电动机的Π形等效电路
短句来源
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  “等效旋转”译为未确定词的双语例句
     The theory includes quaternion and rotation vector, coning error, sculling error and scrolling error and the compensating methods of these errors.
     基本理论包括四元数和等效旋转矢量算法、圆锥误差及其补偿算法、划船误差产生的机理及其补偿算法、涡卷误差产生的机理及其补偿算法。
短句来源
     Based on non-ccntrosymmetry structure of laser-induced shock wave in liquids,the rotation ellipsoid plasma shock model in liquids is first proposed.
     基于液体中激光等离子体冲击波非完全中心对称结构,首次提出了液体中激光等离子体冲击波等效旋转椭球面波前传播模型,揭示了旋转椭球面冲击波向球面波衰减演化过程中冲击波波后物理特性参量的变化规律。
短句来源
     Some algorithms research are as follows: the quaternion algorithm and the equivalent rotating vector algorithm of attitude updating;
     研究了以下算法:姿态更新计算的四元数算法及等效旋转矢量算法;
短句来源
     the equivalent rotating vector three-sample algorithm drifting and the optimized algorithm under coning movement environment;
     锥运动环境下等效旋转矢量三子样解、算法漂移及优化算法;
短句来源
     The mathematical model of attitude solving algorithm on high dynamic aircraft is established, and the method which use rotation vector algorithm to solve attitude angle is discussed, then the method is compared with quaternion.
     建立了高动态飞行器姿态解算的数学模型,探讨了利用等效旋转矢量法解算姿态角的方法,并与四元数法进行了比较。
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  相似匹配句对
     RESEARCHING THE EQUIVALENT ROTATION USING THE THEORY OF SPHERICAL FRAME VECTORS
     用球面向量研究等效旋转问题
短句来源
     Equivalent Power Factor
     等效功率因数
短句来源
     A Method for Estimating Equivalent Stiffness of a Bending Blade with the Crack
     旋转叶片裂纹截面弯曲等效刚度计算
短句来源
     Spin Control
     旋转控制
短句来源
     ELLIPTIC REVOLUTION
     椭圆旋转
短句来源
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  equivalent rotation
Similarly a resonator MOEM gyros shows noise equivalent rotation capability better than 0.1 deg/Hz for a cavity length of 50 mm.
      


The rotation transformation from the base coordinate frame to an arbitrary coordinate frame can bedescribed by a single rotation about a given rotational axis.In this paper we develope a new method for searching the equivalent rotational axis and the equiva-lent rotational angle by means of the theory of spherical frame vectors and give a geometry model forshowing the equivalent rotation.

从基坐标系到任一坐标系的旋转变换,可以通过绕给定轴的一次旋转运动来实现。本文用球面向量方法给出解决等效旋转的几何模型。

According to the theory that the rotation transformation from the base coordinate to an arbitrary one can be described by a single equivalent rotation about a given rotational axis, it is proposed that the orientation of robot can be described by using the vector of equivalent angular displacement.And the concept of pose motor and its Plucker linear coordinate are established and used to describe the position and orientation of robot. Based on the fact that there is a one-to-one correspondence between the oriented...

According to the theory that the rotation transformation from the base coordinate to an arbitrary one can be described by a single equivalent rotation about a given rotational axis, it is proposed that the orientation of robot can be described by using the vector of equivalent angular displacement.And the concept of pose motor and its Plucker linear coordinate are established and used to describe the position and orientation of robot. Based on the fact that there is a one-to-one correspondence between the oriented straight lines in three-dimensional dual space, the interpolation plannings corresponding to the pose motors are developed in dual space. A new algor-ithm of robot CP motion trajectory planning is presented. The correctness of the theory and derivation is conformed by an example.

依据从基坐标系到任一坐标系的旋转变换可以通过绕给定轴的一次等效旋转来实现的原理,提出用等效角位移矢量来描述机器人的姿态,并进而提出用姿态旋量及其Plucker线坐标来描述机器人的位姿。依据三维欧氏空间中的有向直线与三维对偶空间中的点的对应关系,在对偶空间中对姿态旋量所对应的点进行插补规划,提出一种机器人连续运动轨迹规划的新方法。文末算例说明了上述原理和推导的正确性。

On the basis of study on generalized pose and the theorem that rotation transformation from the base coor-dinate to an arbitrary one can be described as a single equivalent rotation about a given rotational axis,it isproposed that the orientation of robot can be described by using the vector of equivalent angular displace-ment.The concept of pose motor and its Pl(u|¨)cker linear coordinate are established and used to describe the po-sition and orientation of robot.Based on the fact that there is a one-to-one...

On the basis of study on generalized pose and the theorem that rotation transformation from the base coor-dinate to an arbitrary one can be described as a single equivalent rotation about a given rotational axis,it isproposed that the orientation of robot can be described by using the vector of equivalent angular displace-ment.The concept of pose motor and its Pl(u|¨)cker linear coordinate are established and used to describe the po-sition and orientation of robot.Based on the fact that there is a one-to-one correspondence between the ori-ented straight lines in three-dimensional dual space,the interpolation plannings corresponding to the posemotors are developed in dual space.A new method of robot CP motion analysis and trajectory planning is pre-sented.The correctness of the theory and derivation is confirmed by an example.

在研究机器人广义位姿的基础上,依据从基坐标系列任一坐标系的旋转变换可以通过绕基坐标系中的瞬时转动轴的等效旋转来实现的原理,提出用等效角位移矢量来描述机器人姿态以及用姿态旋量及其 Pl(u|¨)cker线坐标来描述机器人的位姿.依据对偶数代数理论中关于三维欧氏空间中的有向直线与三维对偶空间中的点具有一一对应关系的对偶映射原理,在对偶空间中对姿态旋量所映射的点进行规划,从而找到一种机器人位姿轨迹生成和运动分析新方法,文末算例说明上述原理和推导的正确性.

 
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