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Synthesis of Branched Chains with Actuation Redundancy for Eliminating Interior Singularities of 3T1R parallel Mechanisms

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Chinese Journal of Mechanical Engineering 2016年第2期29卷 250-259页

作者： LI Shihua LIU Yanmin CUI Hongliu NIU Yunzhan ZHAO Yanzhi Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System Yanshan University Qinhuangdao 066004 China Hebei Vocationa & Technical College of Building Materials Qinhuangdao 066004 China

Although it is common to eliminate the singularity of parallel mechanism by adding the branched chain with actuation redundancy, there is no theory and method for the configuration synthesis of the branched chain with actuation redundancy in parallel mechanism. Branched chains with actuation redundancy are synthesized for eliminating interior singularity of 3-translational and 1-rotational（3T1R） parallel mechanisms. Guided by the discriminance method of hybrid screw group according to Grassmann line geometry, all the possibilities are listed for the occurrence of interior singularities in 3T1R parallel mechanism. Based on the linear relevance of screw system and the principles of eliminating parallel mechanism singularity with actuation redundancy, different types of branched chains with actuation redundancy are synthesized systematically to indicate the layout and the number of the branched chainsinterior with actuation redundancy. A general method is proposed for the configuration synthesis of the branched chains with actuation redundancy of the redundant parallel mechanism, and it builds a solid foundation for the subsequent performance optimization of the redundant actuation parallel mechanism.

关键词： parallel mechanism interior singularity hybrid screw group branched chain with actuation redundancy

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Analysis and Optimization of a Spatial parallel Mechanism for a New 5-DOF Hybrid Serial-parallel Manipulator

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Chinese Journal of Mechanical Engineering 2018年第3期31卷 60-68页

作者： Dong-Sheng Zhang Yun-Dou Xu Jian-Tao Yao Yong-Sheng Zhao Parallel Robot and Mechatronic System Laboratory of Hebei Province Yanshan University Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of National Education Yanshan University

Hybrid manipulators have potentially application in machining industries and attract extensive attention from many researchers on the basis of high sti ness and high dexterity. Therefore,in order to expand the application prospects of hybrid manipulator,a novel 5?degree?of?freedom(DOF) hybrid serial?parallel manipulator(HSPM) is proposed. Firstly,the design plan of this manipulator is introduced. Secondly,the analysis of this manipulator is carried out in detail,including kinematics analysis,statics analysis,and workspace analysis. Especially,an amplitude equivalent method of disposing the over?constrained force/couple to the non?overconstrained force/couple is used in the statics analysis. Then,three performance indices are used to optimize the PM. Two of them have been widely used,and the third one is a new index which considers the characteristics of the actuated force. Based on the performance indices,the performance atlas is drawn and the optimal design of the PM is investigated. In order to satisfy the anticipant kinetic characteristics of the PM,the verification of the optimized physical dimension is done and the workspace based on the optimized physical dimension is carried out. This paper will lay good theoretical foundations for application of this novel HSPM and also can be applied to other hybrid manipulators.

关键词： parallel mechanism Performance indices Optimal design Performance atlas

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Kinematics and Dynamics Hessian Matrices of Manipulators Based on Screw Theory

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Chinese Journal of Mechanical Engineering 2015年第2期28卷 226-235页

作者： ZHAO Tieshi GENG Mingchao CHEN Yuhang LI Erwei YANG Jiantao Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System Yanshan University Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of Education Yanshan University

The complexity of the kinematics and dynamics of a manipulator makes it necessary to simplify the modeling ***,the traditional representations cannot achieve this because of the absence of coordinate ***,the coordinate invariant method is an important research ***,the rigid-body acceleration,the time derivative of the twist,is proved to be a screw,and its physical meaning is *** on the twist and the rigid-body acceleration,the acceleration of the end-effector is expressed as a linear-bilinear form,and the kinematics Hessian matrix of the manipulator（represented by Lie bracket）is ***,Newton-Euler＇s equation is rewritten as a linear-bilinear form,from which the dynamics Hessian matrix of a rigid body is *** formulae and the dynamics Hessian matrix are proved to be coordinate *** to the principle of virtual work,the dynamics Hessian matrix of the parallel manipulator is gotten and the detailed dynamic model is *** index of dynamical coupling based on dynamics Hessian matrix is *** the end,a foldable parallel manipulator is taken as an example to validate the deduced kinematics and dynamics *** screw theory based method can simplify the kinematics and dynamics of a manipulator,also the corresponding dynamics Hessian matrix can be used to evaluate the dynamical coupling of a manipulator.

关键词： kinematics dynamics Hessian matrix parallel manipulator screw theory

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Problem of intersection of two fourth order screw systems and its application for constraint determination in hybrid mechanisms

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Applied Mathematical Modelling 2025年 147卷

作者： Bo Hu Jinjun Zhao School of Mechanical Engineering Yanshan University Qinhuangdao 066004 China Hebei Provincial Key Laboratory of Parallel Robot and Mechatronic System Yanshan University Qinhuangdao 066004 China

The intersection of fourth order screw systems is a challenging work in the field of mechanisms, which is very important for mechanism analysis especially for the constraint analysis of 2+2 type parallel+parallel lower mobility hybrid mechanisms. In this paper, aiming at the intersection problem of two fourth order screw systems, by constructing the ruled surface and the straight generatrix expressions corresponding to the third and fourth order screw systems, combining with the idea of solving the common generatrix, the direct and indirect methods for constructing the analytical intersection model are proposed. The proposed method is used to analyze the terminal constraints of a novel hybrid mechanism under different configurations. The results show that the terminal constraints of the mechanism are two constraint forces. The proposed intersection model of two fourth order screw systems has the advantages of clear geometric meaning and strong intuition. It provides a new idea for the intersection operation of two screw systems and a theory basis for the terminal constraint analysis of lower mobility hybrid mechanisms.

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Kinetostatics Analysis of a Novel 6-DOF parallel Manipulator with Three Planar Limbs and Equipped with Three Fingers

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Chinese Journal of Mechanical Engineering 2014年第5期27卷 919-927页

作者： LU Yi LI Xuepeng College of Mechanical Engineering Yanshan University Key Laboratory of Parallel Robot and Mechatronic System of Hebei Province Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of National Education

It is significant to develop a robot hand with high rigidity by a 6-DOF parallel manipulator（PM）.However,the existing6-DOF PMs include spherical joint which has less capability of pulling force bearing,less rotation range and lower precision under alternately heavy loads.A novel 6-DOF PM with three planar limbs and equipped with three fingers is proposed and its kinematics and statics are analyzed systematically.A 3-dimension simulation mechanism of the proposed manipulator is constructed and its structure characteristics is *** kinematics formulae for solving the displacement,velocity,acceleration of the platform,the active legs and the fingers are *** statics formulae are derived for solving the active forces of PM and the finger *** analytic example is given for solving the kinematics and statics of proposed manipulator and the analytic solved results are verified by the simulation *** is proved from the error analysis of analytic solutions and simulation solutions that the derived analytic formulae are correct and provide the theoretical and technical foundations for its manufacturing,control and application.

关键词： parallel manipulator planar limbs finger kinematics statics

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Type Synthesis of Two-Degrees-of-Freedom Rotational parallel Mechanism with Two Continuous Rotational Axes

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Chinese Journal of Mechanical Engineering 2016年第4期29卷 694-702页

作者： XU Yundou ZHANG Dongsheng WANG Min YAO Jiantao ZHAO Yongsheng Parallel Robot and Mechatronic System Laboratory of Hebei Province Yanshan University Key Laboratory of Advanced Forging and Stamping Technology and Science of Ministry of National Education Yanshan University Library Yanshan University

The two-rotational-degrees-of-freedom（2R） parallel mechanism（PM） with two continuous rotational axes（CRAs） has a simple kinematic *** is therefore easy to implement trajectory planning,parameter calibration,and motion control,which allows for a variety of application ***,no systematic analysis on structural constraints of the 2R-PM with two CRAs has been performed,and there are only a few types of 2R-PM with two ***,a theory regarding the type synthesis of the 2R-PM with two CRAs is systematically ***,combining the theories of reciprocal screw and space geometry,the spatial arrangement relationships of the constraint forces applied to the moving platform by the branches are explored,which give the 2R-PM two *** different distributions of the constraint forces in each branch are also *** the basis of the obtained structural constraints of branches,and considering the geometric relationships of constraint forces in each branch,the appropriate kinematic chains are *** the reasonable configuration of branch kinematic chains corresponding to every structural constraint,a series of new 2R-PMs with two CRAs are finally obtained.

关键词： type synthesis continuous rotational axes two rotational degrees of freedom parallel mechanism constraint force

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Novel Mobility Formula for parallel Mechanisms Expressed with Mobility of General Link Group

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Chinese Journal of Mechanical Engineering 2013年第6期26卷 1082-1090页

作者： ZHANG Yitong LU Wenjuan MU Dejun YANG Yandong ZHANG Lijie ZENG Daxing Key Laboratory of Parallel Robot and Mechatronic System Yanshan University Key Laboratory of Advanced Forging & Stamping Technology and Science Yanshan University

The determination of virtual constraints is always one of the key and difficult problems in traditional mobility calculation. To make mobility calculation simple, considering avoiding virtual constraints, some new formulae have been presented, however these formulae can hardly intuitively reflect general link group＇s restrictions on output member and its influences on independence of output parameters, which is premise to the judgment of the properties of mobility. Towards the problem to reveal the intrinsic relationship between the degree of freedom（DOF） of a mechanism, the link group, and the dimension of output parameters, also to avoid determination of virtual constraint, based on the new concepts of the ＂DOF of general link group＂ and ＂node parameters＂, a new formula in the calculation of the mobility of mechanisms is presented that is expressed with DOFs of the general link groups and rank of motion parameters of base point of the output link. It is named GOM（mobility of groups and output parameter） formula. On the basis of new concepts of＂effective parameters＂ and ＂invalid parameters＂, a rule is put forward for solving the DOF of mechanisms with invalid parameters by GOM formula, that is, the base point parameters are the subset of effective parameters of link group. Thereafter, several examples are enumerated and the results coincide with the prototype data, which proves the validity of the proposed formula. Meanwhile, it is obtained that the necessary and sufficient condition for the judgment of output parameters independence is that each of the DOF of the link group is not less than zero. The proposed formula which is simple in calculation provides theoretical basis for the judgment of independence of output parameters and provides references for type synthesis of novel parallel mechanisms with independence requirements of their output parameters.

关键词： parallel mechanism degree of freedom general link group output parameters

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Kinematics and singularity analysis of a novel 6-PUS/UPU parallel mechanism 10

Kinematics and singularity analysis of a novel 6-PUS/UPU par...

引用

10th International Conference on Motion and Vibration Control, MOVIC 2010

作者： Duan, Yanbin Liang, Shunpan Jiang, Junxiang Zeng, Daxing Zheng, Kuijing Zhao, Yongsheng Parallel Robot and Mechatronic System Laboratory Yanshan University Qinhuangdao Hebei China

In this paper, a novel 6-PUS/UPU parallel mechanism is presented. The mechanism exhibit advantageous characteristics such as higher rigidity, better positioning accuracy and can be used in the fields of vision measure, force control and redundant research. At first, kinematics analysis of the parallel mechanism is carried out;constrained wrench of the moving platform imposed by the middle limb UPU is obtained. Then, singularity analysis is performed. Copyright © 2010 by the Japan Society of Mechanical Engineers.

关键词： Kinematics

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Kinematic analysis of the lifting mechanism of one forging manipulator 10

Kinematic analysis of the lifting mechanism of one forging m...

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10th International Conference on Motion and Vibration Control, MOVIC 2010

作者： Xu, Yundou Zhao, Yongsheng Parallel Robot and Mechatronic System Laboratory Yanshan University Qinhuangdao Hebei China

This paper analyzes the lifting mechanism of one forging manipulator. The lifting mechanism is a hybrid serial-parallel mechanism, composed of a parallel 4R mechanism and a parallel mechanism. At first, mobility properties of the lifting mechanism are analyzed based on screw theory. Then, position analysis of the lifting mechanism is carried out. Because the motions of lifting, pitching and back-and-forward translation are independent of the motions of left-and-right translation and yawing, the lifting mechanism can be divided into two independent mechanisms,i.e., position analysis of these two mechanisms can be carried out separately. Copyright © 2010 by the Japan Society of Mechanical Engineers.

关键词： Mechanisms

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Methods for Force Analysis of Overconstrained parallel Mechanisms： A Review

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Chinese Journal of Mechanical Engineering 2017年第6期30卷 1460-1472页

作者： Wen-Lan Liu Yun-Dou Xu Jian-Tao Yao Yong-Sheng Zhao Parallel Robot and Mechatronic System Laboratory of Hebei Province Yanshan University Qinhuangdao 066004 China Key Laboratory of Advanced Forging and StampingTechnology and Science of Ministry of National Education Yanshan University Qinhuangdao 066004 China

The force analysis of overconstrained PMs is relatively complex and difficult, for which the methods have always been a research hotspot. However, few liter- atures analyze the characteristics and application scopes of the various methods, which is not convenient for researchers and engineers to master and adopt them prop- erly. A review of the methods for force analysis of both passive and active overconstrained PMs is presented. The existing force analysis methods for these two kinds of overconstrained PMs are classified according to their main ideas. Each category is briefly demonstrated and evaluated from such aspects as the calculation amount, the compre- hensiveness of considering limbs＇ deformation, and the existence of explicit expressions of the solutions, which provides an important reference for researchers and engi- neers to quickly find a suitable method. The similarities and differences between the statically indeterminate prob- lem of passive overconstrained PMs and that of active overconstrained PMs are discussed, and a universal method for these two kinds of overconstrained PMs is pointed out. The existing deficiencies and development directions of the force analysis methods for overconstrained systems are indicated based on the overview.

关键词： Redundantly actuated PM ~ Passiveoverconstrained PM ~ Statically indeterminate problemForce analysis ~ Weighted generalized inverse

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