Inverse Dynamics of 2UPS-2RPS Parallel Mechanism Based on Virtual Work Principle

2010 ◽  
Vol 29-32 ◽  
pp. 744-749 ◽  
Author(s):  
Wen Hua Wang ◽  
Zhi You Feng ◽  
Ting Li Yang ◽  
Ce Zhang
Keyword(s):  
Computer Simulation ◽  
Kinematic Analysis ◽  
Parallel Mechanism ◽  
Inverse Dynamics ◽  
Virtual Work ◽  
Dynamic Equations ◽  
Inverse Dynamic ◽  
Virtual Work Principle ◽  
Inverse Dynamic Model ◽  
Moving Platform

Inverse dynamic equations of the 2UPS-2RPS mechanism are formulated by utilizing the virtual work principle. Kinematic analysis of the mechanism is presented, on the basis of which the Jacobian matrices of the limbs and the mechanism are deduced. By combining the dynamics of the limbs and the moving-platform, the inverse dynamic model of the mechanism is obtained. Finally a computer simulation is carried out to demonstrate the dynamic analysis of the moving platform.

Inverse Dynamics of 2UPS-RPU Parallel Mechanism by Newton-Euler Formation

2010 ◽  
Vol 29-32 ◽  
pp. 738-743
Author(s):  
Wen Hua Wang ◽  
Zhi You Feng ◽  
Ting Li Yang
Keyword(s):  
Computer Simulation ◽  
Dynamic Equation ◽  
Driving Force ◽  
Inverse Kinematics ◽  
Parallel Mechanism ◽  
Inverse Dynamics ◽  
Inverse Dynamic ◽  
Moving Platform

2UPS-RPU is a new 4-DOF parallel mechanism with serial input limb. In this paper, the inverse dynamic equation of this mechanism is formulated by Newton-Euler formation based on each limb and moving platform as the studying objects. The inverse kinematics of the mechanism is analyzed. The driving force, driving moment and the constraint moment can be obtained. Finally, a computer simulation is carried out to solve the inverse dynamics of the mechanism when the motion of moving platform is given.

scholarly journals Forward and Inverse Dynamics of a Six-Axis Accelerometer Based on a Parallel Mechanism

Sensors ◽  
2021 ◽  
Vol 21 (1) ◽  
pp. 233
Author(s):  
Linkang Wang ◽  
Jingjing You ◽  
Xiaolong Yang ◽  
Huaxin Chen ◽  
Chenggang Li ◽  
...  
Keyword(s):  
Configuration Space ◽  
Parallel Mechanism ◽  
Inverse Dynamics ◽  
Recursive Algorithm ◽  
Hamiltonian Function ◽  
Euler Method ◽  
Dynamic Equations ◽  
Sensor Calibration ◽  
Inverse Dynamic ◽  
New Strategy

The solution of the dynamic equations of the six-axis accelerometer is a prerequisite for sensor calibration, structural optimization, and practical application. However, the forward dynamic equations (FDEs) and inverse dynamic equations (IDEs) of this type of system have not been completely solved due to the strongly nonlinear coupling relationship between the inputs and outputs. This article presents a comprehensive study of the FDEs and IDEs of the six-axis accelerometer based on a parallel mechanism. Firstly, two sets of dynamic equations of the sensor are constructed based on the Newton–Euler method in the configuration space. Secondly, based on the analytical solution of the sensor branch chain length, the coordination equation between the output signals of the branch chain is constructed. The FDEs of the sensor are established by combining the coordination equations and two sets of dynamic equations. Furthermore, by introducing generalized momentum and Hamiltonian function and using Legendre transformation, the vibration differential equations (VDEs) of the sensor are derived. The VDEs and Newton–Euler equations constitute the IDEs of the system. Finally, the explicit recursive algorithm for solving the quaternion in the equation is given in the phase space. Then the IDEs are solved by substituting the quaternion into the dynamic equations in the configuration space. The predicted numerical results of the established FDEs and IDEs are verified by comparing with virtual and actual experimental data. The actual experiment shows that the relative errors of the FDEs and the IDEs constructed in this article are 2.21% and 7.65%, respectively. This research provides a new strategy for further improving the practicability of the six-axis accelerometer.

The Dynamic Analysis of a 2-PRR Planar Parallel Mechanism

2005 ◽  
Vol 219 (9) ◽  
pp. 901-909 ◽  
Author(s):  
L-P Wang ◽  
J-S Wang ◽  
J Chen
Keyword(s):  
Parallel Mechanism ◽  
Parallel Manipulator ◽  
Degrees Of Freedom ◽  
Inverse Dynamics ◽  
Driving Forces ◽  
Inverse Dynamic ◽  
Inverse Dynamic Model ◽  
Planar Parallel Manipulator ◽  
Euler Approach ◽  
Motion Parameters

The article presents the inverse dynamics of a two-degrees-of-freedom planar parallel manipulator by the Newton-Euler approach. On the basis of the inverse dynamic model, the driving forces of actuators are simulated in different motion parameters. Further, the effects of inertia of each moving component to the driving forces are computed through the numerical method.

Servomotor Parameter Estimation of a 2-DOF Translations and Full Rotation Parallel Mechanism

2010 ◽  
Vol 139-141 ◽  
pp. 2140-2145
Author(s):  
Yan Bing Ni ◽  
Xue Yong Zhong ◽  
Lei Guo ◽  
Fa Yang Luo
Keyword(s):  
Parallel Mechanism ◽  
Prediction Models ◽  
Virtual Work ◽  
Maximum Velocity ◽  
Singular Value ◽  
Parallel Mechanisms ◽  
Inverse Dynamic ◽  
Virtual Work Principle ◽  
Full Rotation ◽  
Value Decomposition

Considering the need of designing a parallel mechanism which can achieve a whole week of rotation and two translations, in this paper, the inverse dynamic model based on the virtual work principle was established. And because the maximum velocity and torque of servomotor are the key indices to choose the servomotor, the prediction models of the maximum velocity and torque of active joints employing the singular value decomposition technique were established as well; further, the prediction model of moment of inertia of servomotor was proposed, and then the computer simulation which can the indentify the effectiveness of this method was conducted. The estimating method has been successfully applied in the series of the parallel mechanisms.

Dynamics of a Two-DOF Parallel Pointing Mechanism

2005 ◽  
Author(s):  
Alessandro Cammarata ◽  
Rosario Sinatra
Keyword(s):  
Numerical Simulation ◽  
Parallel Mechanism ◽  
Inverse Dynamics ◽  
Kinematic Model ◽  
Degree Of Freedom ◽  
Numerical Examples ◽  
Proposed Model ◽  
Dynamic Analyses ◽  
Moving Platform ◽  
Two Degree Of Freedom

This paper presents kinematic and dynamic analyses of a two-degree-of-freedom pointing parallel mechanism. The mechanism consists of a moving platform, connected to a fixed platform by two legs of type PUS (prismatic-universal-spherical). At first a simplified kinematic model of the pointing mechanism is introduced. Based on this proposed model, the dynamics equations of the system using the Natural Orthogonal Complement method are developed. Numerical examples of the inverse dynamics results are presented by numerical simulation.

Inverse Dynamic Analysis and Linearisation of a High Speed Parallel Mechanism

2005 ◽  
Author(s):  
M. Necip Sahinkaya ◽  
Yanzhi Li
Keyword(s):  
Dynamic Analysis ◽  
Parallel Mechanism ◽  
High Speed ◽  
Inverse Dynamics ◽  
Motion Path ◽  
Model Parameters ◽  
Control Input ◽  
Inverse Dynamic ◽  
Inverse Dynamic Analysis ◽  
Dynamics Models

Inverse dynamic analysis of a three degree of freedom parallel mechanism driven by three electrical motors is carried out to study the effect of motion speed on the system dynamics and control input requirements. Availability of inverse dynamics models offer many advantages, but controllers based on real-time inverse dynamic simulations are not practical for many applications due to computational limitations. An off-line linearisation of system and error dynamics based on the inverse dynamic analysis is developed. It is shown that accurate linear models can be obtained even at high motion speeds eliminating the need to use computationally intensive inverse dynamics models. A point-to-point motion path for the mechanism platform is formulated by using a third order exponential function. It is shown that the linearised model parameters vary significantly at high motion speeds, hence it is necessary to use adaptive controllers for high performance.

Optimal Reduction Ratio Selection for the Driving System of a Novel High-Speed Parallel Manipulator

2007 ◽  
Author(s):  
Xianmin Zhang ◽  
Jianfeng Yuan
Keyword(s):  
Parallel Manipulator ◽  
High Speed ◽  
Inverse Dynamics ◽  
Virtual Work ◽  
Operation Time ◽  
Reduction Ratio ◽  
Virtual Work Principle ◽  
Driving System ◽  
S Curve ◽  
The Cost

The reduction ratio of the driving system plays a very important role in the accelerating and decelerating capacity for a parallel manipulator. In this paper, the virtual work principle was employed to develop the inverse dynamics model of a novel high-speed parallel manipulator. A new S-curve speed profile was introduced and adopted to plan the trajectory of the end-effecter of the manipulator in the operation space. Aiming at the minimal operation time, a reduction ratio optimal selection method of the driving system was presented, which can make full use of the advantages of the AC servomotor and consequently reduce the cost of the manipulator.

scholarly journals A Novel Comprehensive Kinematic and Inverse Dynamic Model for the Flybar-Less Swashplate Mechanism: Application on a Small-Scale Unmanned Helicopter

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1849
Author(s):  
Jianbo Liu ◽  
Rongqiang Guan ◽  
Yongming Yao ◽  
Hui Wang ◽  
Linqiang Hu
Keyword(s):  
Dynamic Model ◽  
Flight Control ◽  
Virtual Work ◽  
Influence Factors ◽  
Parallel Manipulators ◽  
Small Scale ◽  
Unmanned Helicopter ◽  
Inverse Dynamic ◽  
Inverse Dynamic Model ◽  
Helicopter Flight

In this paper, we propose a novel kinematic and inverse dynamic model for the flybar-less (FBL) swashplate mechanism of a small-scale unmanned helicopter. The swashplate mechanism is an essential configuration of helicopter flight control systems. It is a complex, multi-loop chain mechanism that controls the main rotor. In recent years, the demand for compact swashplate designs has increased owing to the development of small-scale helicopters. The swashplate mechanism proposed in this paper is the latest architectures used for hingeless rotors without a Bell-Hiller mixer. Firstly, the kinematic analysis is derived from the parallel manipulators concepts. Then, based on the principle of virtual work, a methodology for deriving a closed-form dynamic equation of the FBL swashplate mechanism is developed. Finally, the correctness and efficiency of the presented analytical model are demonstrated by numerical examples and the influence factors of the loads acted on actuators are discussed.

Geometry and Kinematic Analysis of a Redundantly Actuated Parallel Mechanism for Rehabilitation

2007 ◽  
Author(s):  
Jody A. Saglia ◽  
Jian S. Dai
Keyword(s):  
Control System ◽  
Kinematic Analysis ◽  
Parallel Mechanism ◽  
Parallel Manipulator ◽  
Jacobian Matrix ◽  
Forward Kinematics ◽  
Control System Design ◽  
Ankle Rehabilitation ◽  
Redundantly Actuated ◽  
Moving Platform

This paper presents the geometry and the kinematic analysis of a parallel manipulator developed for ankle rehabilitation, as the beginning of a control system design process. First the geometry of the parallel mechanism is described, secondly the equations for the inverse and the forward kinematics are obtained, then the forward kinematics is analyzed in order to define all the possible configurations of the moving platform. Finally the Jacobian matrix of the rig is obtained by differentiating the position equations and the singularities are investigated, comparing the non-redundant and redundant type of mechanism.

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