Kinematic Analysis of a Three-Degree of Freedom Compliant Platform

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Julio C. Correa ◽  
Carl Crane
Keyword(s):  
Kinematic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Degree Of Freedom ◽  
Compliant Joints ◽  
Central Platform ◽  
Moving Platform ◽  
Three Degree Of Freedom ◽  
Three Dimensional Space

This paper addresses the kinematic analysis of a three-degree of freedom (DOF) compliant platform able to move in three dimensional space. The device is formed by the actuators, a central moving platform, and compliant joints. The actuators are three binary links. The moving platform is an equilateral plate. Springs connect the free end of each actuator with each vertex of the central platform. In this way, the motion of the actuators is transmitted to the moving platform. Compliant joints increase the complexity of the motion of the central platform and few studies have been carried out. This paper focuses on the forward and reverse analyses for the platform and the derivation of equations that relate the velocity of the moving platform with the velocity of the actuators.

Kinematic Analysis of a Compliant Microplatform

2008 ◽  
Author(s):  
Julio Correa ◽  
Carl Crane ◽  
Huikai Xie
Keyword(s):  
Kinematic Analysis ◽  
Microelectromechanical Systems ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Planar Mechanisms ◽  
Central Platform ◽  
Bimorph Actuators ◽  
Three Dimensional Space

Mechanisms formed by rigid elements are not suitable for applications at the microlevel due to manufacturing limitations. For the same reason, devices for microelectromechanical systems (MEMS) are basically planar mechanisms. This paper addresses a microplatform able to move in the three dimensional space. It is formed by bimorph actuators connected to the central platform by compliant elements. The forward and reverse analyses for the microplatform are presented.

Modelling and Kinematic Analysis of a Built Up Linear Delta Robot

2012 ◽  
Vol 186 ◽  
pp. 234-238
Author(s):  
Erol Uyar ◽  
Lutfi Mutlu
Keyword(s):  
Simulation Model ◽  
Kinematic Analysis ◽  
Position Control ◽  
Mechanical Design ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Inverse Kinematic ◽  
Kinematic Parameters ◽  
Dc Motors ◽  
Three Dimensional Space

In this paper kinematic analysis of a 3-PUU translational parallel manipulator (TPM) is made by creating the forward and inverse Kinematic solutions. For a given position, control of the end effecter is then realized by using the calculated inverse kinematic parameters as reference values. For kinematic analysis relevant equations are derived from geometrical vector relations. For the forward and inverse kinematic solutions of the non-linear model a MATLAB based iterative algorithm is developed and the inverse kinematic solutions of limbs, are then used to control the end effecter position through screw rails which are driven by DC motors. After the general mechanical design of the manipulator all parts are drawn and modelled in SolidWorks, and a simulation of the motion in three dimensional space is made. To support the reliability of calculated parameters through inverse kinematic solutions, results are compared with the values of SolidWorks based simulation model of the manipulator. Furthermore a real position control with use of feed back encoders is applied and the evaluated results are compared with the results of a simulation model. Very similar and satisfactory results are obtained with both simulation and real application.

KINEMATIC ANALYSIS OF A TRANSLATIONAL 3-DOF TENSEGRITY MECHANISM

2011 ◽  
Vol 35 (4) ◽  
pp. 573-584 ◽  
Author(s):  
Chris A. Mohr ◽  
Marc Arsenault
Keyword(s):  
Analytical Solutions ◽  
Kinematic Analysis ◽  
High Speed ◽  
Translational Motion ◽  
Three Dimensional ◽  
Inverse Kinematic ◽  
Degree Of Freedom ◽  
Pick And Place ◽  
Three Degree Of Freedom

This paper presents a novel three-degree-of-freedom mechanism based on a known tensegrity architecture. The mechanism is cable driven and shown to exhibit three-dimensional translational motion. Analytical solutions to the direct and inverse kinematic problems are produced based on the geometry and statics of the mechanism. The boundaries of the reachable Cartesian workspace are developed based on maintaining valid tensegrity configurations and requiring the actuated cables to be in tension. The low inertia, relatively large workspace volume and the movement produced by the mechanism make it promising for high speed applications such as pick and place operations.

scholarly journals Position-Singularity Analysis of a Class of the 3/6-Gough-Stewart Manipulators Based on Singularity-Equivalent-Mechanism

10.5772/45664 ◽  
2012 ◽  
Vol 9 (1) ◽  
pp. 9 ◽  
Author(s):  
Hui Zhou ◽  
Yi Cao ◽  
Baokun Li ◽  
Meiping Wu ◽  
Jinghu Yu ◽  
...  
Keyword(s):  
Screw Theory ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Parallel Manipulators ◽  
Singularity Analysis ◽  
Polynomial Expression ◽  
Moving Platform ◽  
Singularity Locus ◽  
Three Dimensional Space ◽  
Equivalent Mechanism

This paper addresses the problem of identifying the property of the singularity loci of a class of 3/6-Gough-Stewart manipulators for general orientations in which the moving platform is an equilateral triangle and the base is a semiregular hexagon. After constructing the Jacobian matrix of this class of 3/6-Gough-Stewart manipulators according to the screw theory, a cubic polynomial expression in the moving platform position parameters that represents the position-singularity locus of the manipulator in a three-dimensional space is derived. Graphical representations of the position-singularity locus for different orientations are given so as to demonstrate the results. Based on the singularity kinematics principle, a novel method referred to as ‘singularity-equivalent-mechanism' is proposed, by which the complicated singularity analysis of the parallel manipulator is transformed into a simpler direct position analysis of the planar singularity-equivalent-mechanism. The property of the position-singularity locus of this class of parallel manipulators for general orientations in the principal-section, where the moving platform lies, is identified. It shows that the position-singularity loci of this class of 3/6-Gough-Stewart manipulators for general orientations in parallel principal-sections are all quadratic expressions, including a parabola, four pairs of intersecting lines and infinite hyperbolas. Finally, the properties of the position-singularity loci of this class of 3/6-Gough-Stewart parallel manipulators in a three-dimensional space for all orientations are presented.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  
Keyword(s):  
Spectroscopic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Biomolecular Recognition ◽  
Biological Application ◽  
New Class ◽  
Proteolytic Resistance ◽  
Pharmacokinetic Properties ◽  
Optically Pure ◽  
Three Dimensional Space

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

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