Analysis Method of Screw Algebra for Motion Characteristics of a 4-URU Parallel Metamorphic Mechanism

2013 ◽  
Vol 753-755 ◽  
pp. 2062-2065
Author(s):  
Zhong Hai Zhang ◽  
Duan Ling Li ◽  
Chun Xia Li
Keyword(s):  
Adjacency Matrix ◽  
Degrees Of Freedom ◽  
Linear Equations ◽  
Homogeneous System ◽  
Basic Solution ◽  
Moving Platforms ◽  
Metamorphic Mechanism ◽  
Screw Motions ◽  
Motion Characteristics ◽  
Metamorphic Mechanisms

A new 4-URU parallel metamorphic mechanism is proposed. A new method using screw adjacency matrix to describe the structural transformation of metamorphic mechanisms is put forward. This method overcomes the limitations of existing topological description method which cannot analyze the metamorphic mechanisms spatial structures and motion characteristics. Then the screw algebra method for analyzing the metamorphic mechanisms motion characteristics is introduced in detail. Firstly, screw motions homogeneous system of linear equations is determined by the screw adjacency matrix. Then the equations basic solution system determines the anti-screw system. Finally calculate the moving platforms motion screw system. Thus the metamorphic mechanisms motion characteristics, such as spatial structure in different configurations, the number of components and joints, degrees of freedom are obtained.

Enumeration and instantaneous mobility analysis of a class of 3-UPU parallel manipulators with equilateral triangular platforms

Robotica ◽  
2021 ◽  
pp. 1-32
Author(s):  
Sercan Boztaş ◽  
Gökhan Kiper
Keyword(s):  
Software Package ◽  
Degrees Of Freedom ◽  
Screw Theory ◽  
Parallel Manipulators ◽  
Mobility Analysis ◽  
Specific Design ◽  
Design Task ◽  
Moving Platforms ◽  
Joint Axis ◽  
Motion Characteristics

Abstract In this study, several joint axis orientations on equilateral platforms and the limbs of 3-UPU parallel manipulators (PMs) are examined. The generated joint layouts for the platforms were matched with each other to generate and enumerate manipulator architectures based on certain assumptions. The structures of thus obtained manipulators are examined and limb types were determined. These limb types were analyzed using screw theory. The instantaneous mobility of the manipulators and the motion characteristics of the moving platforms are tabulated. The finite mobility analysis of one of the manipulators is performed using a software package as an example. Among several different 3-UPU PM architectures, 118 novel 3-UPU PMs with non-parasitic 3-degrees-of-freedom are significantly important. The classified 3-UPU PMs with determined motion characteristics can be used by researchers as a design alternative for their specific design task.

scholarly journals A holographic matrix representation of the metamorphic parallel mechanisms

2019 ◽  
Vol 10 (2) ◽  
pp. 437-447
Author(s):  
Wei Sun ◽  
Jianyi Kong ◽  
Liangbo Sun
Keyword(s):  
Adjacency Matrix ◽  
Topological Structure ◽  
Incidence Matrix ◽  
Matrix Representation ◽  
Evolutionary Relationships ◽  
Parallel Mechanisms ◽  
Metamorphic Mechanism ◽  
The Matrix ◽  
Metamorphic Mechanisms

Abstract. Metamorphic mechanisms belong to the class of mechanisms that are able to change their configurations sequentially to meet different requirements. In this paper, a holographic matrix representation for describing the topological structure of metamorphic mechanisms was proposed. The matrix includes the adjacency matrix, incidence matrix, links attribute and kinematic pairs attribute. Then, the expanded holographic matrix is introduced, which includes driving link, frame link and the identifier of the configurations. Furthermore, a matrix representation of an original metamorphic mechanism is proposed, which has the ability to evolve into various sub-configurations. And evolutionary relationships between mechanisms in sub-configurations and the original metamorphic mechanism are determined distinctly. Examples are provided to demonstrate the validation of the method.

scholarly journals Practical Structural Design Approach of Multiconfiguration Planar Single-Loop Metamorphic Mechanism with a Single Actuator

2020 ◽  
Vol 33 (1) ◽  
Author(s):  
Qiang Yang ◽  
Guangbo Hao ◽  
Shujun Li ◽  
Hongguang Wang ◽  
Haiyang Li
Keyword(s):  
Structural Design ◽  
Degrees Of Freedom ◽  
Design Method ◽  
Design Approach ◽  
Equivalent Resistance ◽  
Structural Synthesis ◽  
Single Loop ◽  
Metamorphic Mechanism ◽  
Resistance Matrix ◽  
Metamorphic Mechanisms

Abstract As a type of multiconfiguration mechanism that can operate in an under-actuated state, metamorphic mechanisms were proposed more than two decades ago and attracted significant interest. Studies on structural synthesis of metamorphic mechanisms tend to focus more on metamorphic techniques and the structural synthesis of source mechanisms for metamorphic mechanisms. By designing different constraint architectures of metamorphic joints, multistructures can be obtained from the same source metamorphic mechanism. To determine the constraint architectures of metamorphic joints and their different assembly combinations, a kinematic status matrix and a corresponding constraint status matrix are constructed based on the metamorphic cyclogram of a source mechanism. According to the equivalent resistance gradient model and the constraint status matrix, an equivalent resistance matrix for the metamorphic joints is proposed. A structural synthesis matrix of the metamorphic mechanism is then obtained from the equivalent resistance matrix by deducing the constraint form vectors of the metamorphic joints. Furthermore, a kinematic diagram synthesis of the source metamorphic mechanism of a planar single-loop metamorphic mechanism is proposed, which is based on only the 14 one- or zero-degrees-of-freedom linkage groups. The entire structural design method of a metamorphic mechanism is based on the structural synthesis matrix and is presented as a systematic process. Finally, the proposed structural design approach is illustrated by two examples to verify its feasibility and practicality. This study provides an effective method for designing a practical multi-mobility and multiconfiguration planar single-loop metamorphic mechanism with a single actuator.

LOWER LIMB REHABILITATION ROBOT FOR GAIT TRAINING

2014 ◽  
Vol 14 (06) ◽  
pp. 1440004 ◽  
Author(s):  
SHUAI GUO ◽  
JIANCHENG JI ◽  
GUANGWEI MA ◽  
TAO SONG ◽  
JING WANG
Keyword(s):  
Lower Limb ◽  
Degrees Of Freedom ◽  
Balance Training ◽  
Gait Training ◽  
Rehabilitation Robot ◽  
Stroke Patients ◽  
Motion Characteristics ◽  
Set Up ◽  
Limb Rehabilitation ◽  
Lower Limb Rehabilitation

After analyzing the rehabilitation needs of stroke patients and the previous studies on lower limb rehabilitation robot, our lower limb rehabilitation robot is designed for stroke patients' gait and balance training. The robot consists of the mobile chassis, the support column and the pelvis mechanism and it is described in detail. As the pelvis mechanism allows most of the patient's motion degrees of freedom (DOFs), the kinematics model of the mechanism is set up, and kinematics simulation is carried out to study the motion characteristics of the mechanism. After analyzing the calculation and simulation results, the pelvis mechanism is proven to measure up to the movement needs of the paralytic's waist and pelvis in walking rehabilitation process.

A novel five-degrees-of-freedom decoupled robot

Robotica ◽  
2009 ◽  
Vol 28 (6) ◽  
pp. 909-917 ◽  
Author(s):  
Jaime Gallardo-Alvarado ◽  
Horacio Orozco-Mendoza ◽  
José M. Rico-Martínez
Keyword(s):  
Machine Tools ◽  
Degrees Of Freedom ◽  
Parallel Manipulators ◽  
Solar Panels ◽  
Spatial Mechanism ◽  
Moving Platforms ◽  
Parallel Kinematic ◽  
Radar Antennas

SUMMARYIn this work a new nonoverconstrained redundant decoupled robot, free of compound joints, formed from three parallel manipulators, with two moving platforms and provided with six active limbs connected to the fixed platform, called LinceJJP, is presented. Interesting applications such as multi-axis machine tools with parallel kinematic architectures, solar panels, radar antennas, and telescopes are available for this novel spatial mechanism.

Topology and Constraint Analysis of Reconfiguration in Metamorphic Mechanisms

2010 ◽  
Author(s):  
Ketao Zhang ◽  
Jian S. Dai ◽  
Yuefa Fang ◽  
Zi-Qiang Zhu
Keyword(s):  
Phase Change ◽  
Adjacency Matrix ◽  
Matrix Phase ◽  
Topological Phase ◽  
Revolute Joints ◽  
Constraint Analysis ◽  
Metamorphic Mechanisms

This paper investigates the reconfiguration of the metamorphic mechanisms and proposes mechanism topology matrix, phase matrix and augmented adjacency matrix to identify variation of geometric and topological configurations. This is then used to investigate the two generic ways in the study of induced constraint change of the metamorphic mechanisms. The topological phase change of the metamorphic mechanisms correlative to the variable-axis revolute joints and link annex is hence investigated and constraint analysis is then presented in the working phases of the new metamorphic mechanisms.

scholarly journals Experimental and Numerical Study on Hydrodynamic Performance of an Underwater Glider

2018 ◽  
Vol 2018 ◽  
pp. 1-13
Author(s):  
Yanji Liu ◽  
Jie Ma ◽  
Ning Ma ◽  
Zhijian Huang
Keyword(s):  
Reynolds Number ◽  
Degrees Of Freedom ◽  
Numerical Study ◽  
Similarity Theory ◽  
Dynamics Simulation ◽  
Hydrodynamic Performance ◽  
Hull Design ◽  
Motion Characteristics ◽  
6 Degrees Of Freedom ◽  
Temperature Depth

The hydrodynamic coefficients are important parameters for predicting the motion of the glider and upgrading the hull design. In this paper, based on the Reynolds number similarity theory, 6 degrees of freedom (DOFs) of the fluid force and torque of a 1:1 full-scale glider model are measured. The present measurements were carried out at (2 - 14m/s) by varying attack angles and sideslip angles (-9 - 9°), respectively. The measurements were used to study the variation of the hydrodynamics of the glider, and the measurements have also been used to validate results obtained from a CFD code that uses RNG k-ε. The hydrodynamic force coefficients obtained from CFD accord well with the measurements. However, the torque coefficients difference is fairly large. Dynamics simulation results show that CFD results can be used to design and study the motion characteristics of gliders. In order to simplify the design process of gliders, we fit the empirical formula based on the experimental data and obtain a drag coefficient equation with Reynolds number. The influence of two kinds of appendages of the Conductance-Temperature-Depth (CTD) unit and thruster unit on the glider drag were studied by a contrast test. The analysis results can provide reference for design and the motion investigate of gliders.

Solution Selectors: A User-Oriented Answer to the Geometric Constraint Multiple Solution Problem

2001 ◽  
Author(s):  
Bernhard Bettig ◽  
Jami Shah
Keyword(s):  
Linear Equations ◽  
Independent Solution ◽  
Solid Modeling ◽  
Multiple Solution ◽  
Parametric Modeling ◽  
Geometric Constraints ◽  
Geometric Constraint ◽  
Basic Solution ◽  
Solution Selection ◽  
Solution Problem

Abstract The development of solid modeling to represent the geometry of designed parts and the development of parametric modeling to control the size and shape have had significant impacts on the efficiency and speed of the design process. Designers now rely on parametric solid modeling, but surprisingly often are frustrated by a problem that unpredictably causes their sketches to become twisted and contorted. This problem, known as the “multiple solution problem” occurs because the dimensions and geometric constraints yield a set of non-linear equations with many roots. This situation occurs because the dimensioning and geometric constraint information given in a CAD model is not sufficient to unambiguously and flexibly specify which configuration the user desires. This paper first establishes that only explicit, independent solution selection declarations can provide a flexible mechanism that is sufficient for all situations of solution selection. The paper then describes the systematic derivation of a set of “solution selector” types by considering the occurrences of multiple solutions in combinations of mutually constrained geometric entities. The result is a set of eleven basic solution selector types and two derived types that incorporate topological information. In particular, one derived type “concave/convex” is user-oriented and thought to be very useful.

A multi-configuration kinematic model for active drive/steer four-wheel robot structures

Robotica ◽  
2015 ◽  
Vol 34 (10) ◽  
pp. 2309-2329 ◽  
Author(s):  
Edgar A. Martínez-García ◽  
Erik Lerín-García ◽  
Rafael Torres-Córdoba
Keyword(s):  
Degrees Of Freedom ◽  
Rotation Axis ◽  
Contact Point ◽  
Linear Equations ◽  
Kinematic Model ◽  
Robotic Systems ◽  
Control Law ◽  
Special Design ◽  
Wheel Drive ◽  
Four Wheel Drive

SUMMARYIn this study, a general kinematic control law for automatic multi-configuration of four-wheel active drive/steer robots is proposed. This work presents models of four-wheel drive and steer (4WD4S) robotic systems with all-wheel active drive and steer simultaneously. This kinematic model comprises 12 degrees of freedom (DOFs) in a special design of a mechanical structure for each wheel. The control variables are wheel yaw, wheel roll, and suspension pitch by active/passive damper systems. The pitch angle implies that a wheel's contact point translates its position over time collinear with the robot's lateral sides. The formulation proposed involves the inference of the virtual z-turn axis (robot's body rotation axis) to be used in the control of the robot's posture by at least two acceleration measurements local to the robot's body. The z-turn axis is deduced through a set of linear equations in which the number of equations is equal to the number of acceleration measurements. This research provides two main models for stability conditions. Finally, the results are sustained by different numerical simulations that validate the system with different locomotion configurations.

Study on Motion Simulation of HOV

2013 ◽  
Vol 694-697 ◽  
pp. 158-162
Author(s):  
Feng Liu ◽  
Duan Feng Han
Keyword(s):  
Degrees Of Freedom ◽  
Hydrodynamic Force ◽  
Equations Of Motion ◽  
Control System Design ◽  
Motion Simulation ◽  
Six Degrees Of Freedom ◽  
Movement Performance ◽  
Motion Characteristics ◽  
Motor Effects ◽  
Important Basis

It will be to bear several forces when Human Occupied Vehicle (HOV) moves underwater, So the movement performance forecast and research becomes more difficult when HOV under environment disturbances,this paper regards a certain HOV as the research object,researches the HOV actual situation, the comprehensive consideration of the hydrodynamic force, gravity, propeller thrust, environmental interference force for HOV motor effects, establishes the six degrees of freedom equations of motion for HOV, several typical motion states are studied , finally the simulation work is carried out, the simulation results can reflect the HOV motion characteristics , provide important basis for HOV motion control system design.

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