Kinematic analysis and optimal design of a novel 3-PRR spherical parallel manipulator

2020 ◽  
pp. 095440622093880
Author(s):  
Soheil Zarkandi
Keyword(s):  
Optimal Design ◽  
Kinematic Analysis ◽  
Parallel Manipulator ◽  
Kinematic Singularity ◽  
Revolute Joint ◽  
Wide Range ◽  
Moving Platform ◽  
Forward Kinematic ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

This paper introduces a novel three degree-of-freedom spherical parallel manipulator with 3-PRR topology, where P and R denote a curved prismatic joint and a revolute joint, respectively. The first revolute joint of each PRR leg is actuated via a double Rzeppa-type driveshaft, and hence underlined. The manipulator has at most eight working modes and eight assembly modes. However, only one working mode and one assembly mode of the manipulator are acceptable during its motion which can be easily identified. Singularity and kinematic dexterity analyses reveal that the proposed 3-PRR spherical parallel manipulator has no forward kinematic singularity for a wide range of rotation of the moving platform around its central axis. An optimal design of the manipulator is also presented having a workspace with good kinematic dexterity.

Optimal design of a redundant spherical parallel manipulator

Robotica ◽  
1997 ◽  
Vol 15 (4) ◽  
pp. 399-405 ◽  
Author(s):  
Sylvie Leguay-Durand ◽  
Claude Reboulet
Keyword(s):  
Optimal Design ◽  
Kinematic Analysis ◽  
Parallel Manipulator ◽  
Structure Optimization ◽  
Kinematic Design ◽  
Spherical Wrist ◽  
Redundant Structure ◽  
Spherical Parallel Manipulator

A new kinematic design of a parallel spherical wrist with actuator redundancy is presented. A special feature of this parallel manipulator is the arrangement of co-axial actuators which allows unlimited rotation about any axis inside a cone-shaped workspace. A detailed kinematic analysis has shown that actuator redundancy not only removes singularities but also increases workspace while improving dexterity. The structure optimization has been performed with a global dexterity criterion. Using a conditioning measure, a comparison with a non-redundant structure of the same type was performed and shows that a significant improvement in dexterity has been obtained.

On the kinematics of the 3-RRUR spherical parallel manipulator

Robotica ◽  
2009 ◽  
Vol 28 (6) ◽  
pp. 821-832 ◽  
Author(s):  
R. Deidda ◽  
A. Mariani ◽  
M. Ruggiu
Keyword(s):  
Parallel Manipulator ◽  
Jacobian Matrix ◽  
Mobility Analysis ◽  
Geometrical Condition ◽  
Mechanical Interference ◽  
Fixed Base ◽  
Spherical Wrist ◽  
Moving Platform ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

SUMMARYIn the present paper, the kinematics of a three-degree-of-freedom spherical wrist is investigated. The wrist consists of a fixed base connected to a moving platform by three identical legs, each with a RRUR chain (R and U denote a revolute pair and a universal pair, respectively). For each leg, the first R pair is to be considered actuated. Although in previous works the kinematics synthesis of this architecture was carried out, no detailed studies were presented on the kinematic issues of the wrist. This paper presents the mobility analysis, the direct and inverse position kinematics, the differential kinematics of the manipulator including inspection on the jacobian matrix and the analysis of the singularities. The geometrical condition matched in case of mechanical interference between legs is addressed, too. A numerical example of the manipulator kinematics was performed to obtain the workspace, the condition number and the mechanical inteference condition.

scholarly journals Spatial Three Degree of Freedom Parallel Manipulator Forward Kinematic Position Analysis

2018 ◽  
Vol 7 (4.5) ◽  
pp. 147
Author(s):  
Srinivasa Rao Pundru ◽  
Mohan Rao Nallur
Keyword(s):  
Parallel Manipulator ◽  
Linear Equations ◽  
Degree Of Freedom ◽  
Algebraic Equations ◽  
Position Analysis ◽  
Non Linear ◽  
Kinematic Position ◽  
Moving Platform ◽  
Forward Kinematic ◽  
Three Degree Of Freedom

This work presents forward kinematic position analysis of a spatial three degree of freedom parallel manipulator, which has three symmetric loops. The three loops consist of an actuated sliding links- rotational and spherical joints. The actuated sliding links are attached to inclined base platform via rotational joints. The limbs are connected from rotational joints to moving platform by spherical joints. The degree of freedom of a spatial parallel manipulator is analyzed via kutzbach criterion. The forward kinematic position analysis carried out by using 3-coupled trigonometric equations which are formulated with side and behaviour constraints of the manipulator. There are many difficulties in solving the system of non-linear equations in kinematics of manipulator therefore by using MATLAB the three non-linear coupled algebraic equations are solved. The forward position kinematic analysis part is used in the development procedure of spatial parallel manipulator to check, the required and obtained positions of the moving platform of the developed manipulator.  

Task-based torque minimization of a 3-PṞR spherical parallel manipulator

Robotica ◽  
2021 ◽  
pp. 1-30
Author(s):  
Soheil Zarkandi
Keyword(s):  
Closed Form ◽  
Dynamic Modeling ◽  
Dynamic Equation ◽  
Parallel Manipulator ◽  
Optimization Problem ◽  
Dynamic Constraints ◽  
Part C ◽  
Euler Approach ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

Abstract A comprehensive dynamic modeling and actuator torque minimization of a new symmetrical three-degree-of-freedom (3-DOF) 3-PṞR spherical parallel manipulator (SPM) is presented. Three actuating systems, each of which composed of an electromotor, a gearbox and a double Rzeppa-type driveshaft, produce input torques of the manipulator. Kinematics of the 3-PṞR SPM was recently studied by the author (Zarkandi, Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 2020, https://doi.org/10.1177%2F0954406220938806). In this paper, a closed-form dynamic equation of the manipulator is derived with the Newton–Euler approach. Then, an optimization problem with kinematic and dynamic constraints is presented to minimize torques of the actuators for implementing a given task. The results are also verified by the SimMechanics model of the manipulator.

Forward kinematic analysis of the 3- R P RS parallel manipulator

2017 ◽  
Vol 116 ◽  
pp. 262-272 ◽  
Author(s):  
Anirban Nag ◽  
Santhakumar Mohan ◽  
Sandipan Bandyopadhyay
Keyword(s):  
Kinematic Analysis ◽  
Parallel Manipulator ◽  
Forward Kinematic

Parametric Design of a Spherical Eight-Bar Linkage Based on a Spherical Parallel Manipulator

2008 ◽  
Vol 1 (1) ◽  
Author(s):  
Gim Song Soh ◽  
J. Michael McCarthy
Keyword(s):  
Inverse Kinematics ◽  
Parallel Manipulator ◽  
Parametric Design ◽  
Degree Of Freedom ◽  
Kinematics Analysis ◽  
End Effector ◽  
Arbitrary Base ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

This paper presents a procedure that determines the dimensions of two constraining links to be added to a three degree-of-freedom spherical parallel manipulator so that it becomes a one degree-of-freedom spherical (8, 10) eight-bar linkage that guides its end-effector through five task poses. The dimensions of the spherical parallel manipulator are unconstrained, which provides the freedom to specify arbitrary base attachment points as well as the opportunity to shape the overall movement of the linkage. Inverse kinematics analysis of the spherical parallel manipulator provides a set of relative poses between all of the links, which are used to formulate the synthesis equations for spherical RR chains connecting any two of these links. The analysis of the resulting spherical eight-bar linkage verifies the movement of the system.

A new closed-form kinematics of the generalized 3-DOF spherical parallel manipulator

Robotica ◽  
1999 ◽  
Vol 17 (5) ◽  
pp. 475-485 ◽  
Author(s):  
Zhen Huang ◽  
Y. Lawrence Yao
Keyword(s):  
Closed Form ◽  
Analytical Method ◽  
Parallel Manipulator ◽  
Degree Of Freedom ◽  
New Method ◽  
Numerical Example ◽  
Three Degree Of Freedom ◽  
Spherical Parallel Manipulator

This paper presents a new method to analyze the closed-form kinematics of a generalized three-degree-of-a-freedom spherical parallel manipulator. Using this analytical method, concise and uniform solutions are achieved. Two special forms of the three-degree-of-freedom spherical parallel manipulator, i.e. right-angle type and a decoupled type, are also studied and their unique and interesting properties are investigated, followed by a numerical example.

Kinematic analysis and optimal design of a novel 1T3R parallel manipulator with an articulated travelling plate

2014 ◽  
Vol 30 (5) ◽  
pp. 508-516 ◽  
Author(s):  
Yimin Song ◽  
Hao Gao ◽  
Tao Sun ◽  
Gang Dong ◽  
Binbin Lian ◽  
...  
Keyword(s):  
Optimal Design ◽  
Kinematic Analysis ◽  
Parallel Manipulator
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