查询词典 jacobian matrix

When the actuated joint was rotary actuation, kinematic Jacobian matrix of the manipulator was a diagonal matrix. So it was an uncoupled mechanism. As the actuated joint was linear one, Jacobian matrix of the manipulator was an identity 3×3 matrix and its determinant was equal to one. Manipulator, therefore, was singularity-free fully-isotropic throughout the entire workspace.

当以转动输入为主驱动时，运动雅可比矩阵为3×3阶对角阵，故机构为无耦合并联机构；当以移动为主驱动时，雅可比矩阵为3×3阶单位阵，且其行列式的值为1，所以在整个工作空间内机构表现为无奇异完全各向同性。

The method of determining direct singular positions of this particular manipulator by using Jacobian matrix is also discussed.

并与利用Jacobian矩阵寻找正向奇异位置的方法作比较。

To the problem that the isotropy and the technological efficiency of the parallel kinematic machine based on Stewart platform are not satisfactory, a novel architecture of 6-DOF 3-dimensional platform parallel kinematic machine (6-DOF 3-D PPKM) based on the 2-2-2-SPS 3-D PPR is presented. The technological efficiency of design of the parallel kinematic machine is analyzed. Its workspace and the effect of design parameters to the workspace volume are studied. By using the submatrices of Jacobian matrix and force Jacobian matrix, the kinematics/mechanics transmission isotropic indices, kinematics transmission indices, load-bearing capacity indices at any configuration of the parallel kinematic machine are proposed, respectively.

分析其结构和装配工艺性，研究其定位姿工作空间及机床结构参数对工作空间大小的影响，基于Jacobian矩阵和力Jacobian矩阵中同量纲元素构成的子阵，提出该并联机床在任意位姿的运动／力学传递各向同性评价指标、运动学传递能力评价指标和承载能力评价指标；基于柔度矩阵中同量纲元素构成的子阵，提出该并联机床在任意位姿的力-位置柔度评价指标、力-姿态柔度评价指标、力矩-姿态柔度评价指标和力矩-位置柔度评价指标；研究各性能指标在定位姿工作空间内的分布情况。

ABSTRACT In this dissertation, fault-tolerance of redundant manipulators is thoroughly investigated. First, inherent relationship between the dexterity and fault-tolerance of single-redundancy manipulator is discussed. Both the manipulability and the relative manipulability are utilized for measuring the kinematic fault-tolerance of the manipulator with one joint failure. Furthermore, the relative manipulability is used for measuring dexterity loss resulted by one joint failure, and the relationship between the fault-tolerance measurement and null space vector of Jacobian matrix is established.

本文对冗余自由度机器人的答错性问题进行了深入的分析和迭付：首先研究了单冗余度机器人运动学灵活性与容错性之间的内在关系，提出以故障构形的可操作度和相对可操作度来度量机器人的运动学容错性，用相对可操作度来度量关节故障给机器人操作灵巧性造成的损失，并建立了容错性度量指标与Jacobian矩阵零空间向量之间的关系。

In order to locate direct singular positions, we begin by expressing the determinant of the Jacobian matrix Jx in terms of position of the center P of the moving platform. The Z and the Y coordinates of P may be chosen from the workspace, then the determinant of Jx is now a six order polynomial of X, the x coordinate of P. The direct singular positions corresponding to are obtained by solving the polynomial equation, and retaining all real roots in the workspace.

由速度分析的Jacobian矩阵Jx，将其行列式值表示成活动平台中心点P位置的函数，寻找奇异位置的方法是先假设平台高度，再假设工作空间内P点的Y座标，使Jx行列式成为P点X座标的六次方程式，求解方程式并保留在工作空间内之实根。

The DC reactive power is the only parameter to be specified in calculation, and the partial differential formulas in Jacobian matrix do not change when the DC control model changes.

计算时，只需规定换流器直流侧的无功功率，而且当直流系统控制方式发生变化后不需重新推导Jacobian矩阵中的偏导公式。

Analyzing the kinematics problem of the YJP-1 vision-servo redundant robot, the kinematics equation of the single arm has been established, the Jacobian matrix of front four joint has been formed using a new method.

对YJP-1型冗余度机器人进行了运动学分析。用D-H方法建立了YJP-1型冗余度机器人单臂的运动学方程。运用一种新的方法建立了YJP-1型机器人前面四个决定末端抓手位置的自由度的Jacobian矩阵。

Through researching the extra singularities of decomposed Jacobian matrix, an approach resulted from adjusting velocity homogeneous item in real-time is proposed to effectively take account of the contradiction between stability and end state self-motion. Thus, some modified dynamic optimal schemes are deduced.

通过研究Jacobian矩阵分解的算法奇异性，提出实时调节速度齐次项的方案，可有效兼顾稳定性和终态自运动的双向矛盾要求，并推导了若干改进的动力学优化方案。

Based on the nonlinear static equilibrium equations of the system, the force singularity is described by the determinant and condition number of the Jacobian matrix clearly.

基于系统的非线性静力平衡方程，根据力传递Jacobian矩阵的行列式和条件数，剖析了工作空间内部的力奇异性。

For the space robot system without condition control, according to the principle of momenta conservation, The Kinematic model is constructed using the general Jacobian matrix.

对于载体无位置控制的空间机器人系统，根据动量守恒定律，应用广义Jacobian矩阵建立了系统的运动学模型。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。