From 5-SS Platform Linkage to Four-Revolute Jointed Planar, Spherical and Bennett Mechanisms

2016 ◽  
Author(s):  
Xin Ge ◽  
A. Purwar ◽  
Q. J. Ge
Keyword(s):  
Null Space ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Numerical Examples ◽  
Revolute Joints ◽  
Novel Approach ◽  
Design Variables ◽  
Moving Points ◽  
Unified Algorithm ◽  
Three Dimensional Space

Recently, we developed a novel approach to the problem of geometric design of 5-SS platform linkages such that its moving points are constrained on a sphere or a plane. Dual quaternions are used to obtain the bilinear design equations with seven design variables, which can be further recast into a linear equation with 16 design variables with a set of simple proportional relationships. This leads to a novel algorithm that reduces the kinematic design problem to that of null space analysis followed by a generalized eigenvalue problem. In this paper, we show that the same approach leads to a unified algorithm for synthesizing planar, spherical and spatial Bennet mechanisms with four revolute joints as over-constrained four-revolute jointed mechanisms in three dimensional space. Numerical examples are given in the end.

scholarly journals A novel approach to estimate the upper limb reaching movement in three-dimensional space

2019 ◽  
Vol 15 ◽  
pp. 100155 ◽  
Author(s):  
Luigi Iuppariello ◽  
Giovanni D'addio ◽  
Bernardo Lanzillo ◽  
Piero Balbi ◽  
Emilio Andreozzi ◽  
...  
Keyword(s):  
Upper Limb ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Reaching Movement ◽  
Novel Approach ◽  
Three Dimensional Space

scholarly journals Three-dimensional tracking and behaviour monitoring of multiple fruit flies

2013 ◽  
Vol 10 (78) ◽  
pp. 20120547 ◽  
Author(s):  
Reza Ardekani ◽  
Anurag Biyani ◽  
Justin E. Dalton ◽  
Julia B. Saltz ◽  
Michelle N. Arbeitman ◽  
...  
Keyword(s):  
Social Interactions ◽  
Quantitative Data ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Hungarian Algorithm ◽  
Long Period ◽  
Behavioural Analysis ◽  
Novel Approach ◽  
Quantitative Manner ◽  
Three Dimensional Space

The increasing interest in the investigation of social behaviours of a group of animals has heightened the need for developing tools that provide robust quantitative data. Drosophila melanogaster has emerged as an attractive model for behavioural analysis; however, there are still limited ways to monitor fly behaviour in a quantitative manner. To study social behaviour of a group of flies, acquiring the position of each individual over time is crucial. There are several studies that have tried to solve this problem and make this data acquisition automated. However, none of these studies has addressed the problem of keeping track of flies for a long period of time in three-dimensional space. Recently, we have developed an approach that enables us to detect and keep track of multiple flies in a three-dimensional arena for a long period of time, using multiple synchronized and calibrated cameras. After detecting flies in each view, correspondence between views is established using a novel approach we call the ‘sequential Hungarian algorithm’. Subsequently, the three-dimensional positions of flies in space are reconstructed. We use the Hungarian algorithm and Kalman filter together for data association and tracking. We evaluated rigorously the system's performance for tracking and behaviour detection in multiple experiments, using from one to seven flies. Overall, this system presents a powerful new method for studying complex social interactions in a three-dimensional environment.

Analysis of Interference Zone for Dual-Arm Robots

1995 ◽  
Author(s):  
Li Ju Xu ◽  
Qiang Wang ◽  
Jin Yao ◽  
Xiao Yu An
Keyword(s):  
Analytical Method ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Numerical Example ◽  
Revolute Joints ◽  
Time Zones ◽  
Prismatic Joints ◽  
Dual Arm Robot ◽  
Dual Arm ◽  
Three Dimensional Space

Abstract An analytical method to evaluate time zones of interference for a dual-arm robot is presented with the consideration of shape and volume of links in the case, when the robot arms move along two given continuous trajectories in three-dimensional space respectively. The formulations and criteria to determine interference zones are derived. The method is applicable to general dual-arm robots with not only revolute joints, but also prismatic joints. A numerical example is presented for illustration.

scholarly journals A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Young-Hee Kim ◽  
Sangmok Choo
Keyword(s):  
Global Stability ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Discrete Models ◽  
New Approach ◽  
Predator Prey ◽  
Numerical Examples ◽  
Predator Prey Model ◽  
Predator Prey Models ◽  
Three Dimensional Space

An Euler difference scheme for a three-dimensional predator-prey model is considered and we introduce a new approach to show the global stability of the scheme. For this purpose, we partition the three-dimensional space and calculate the sign of the rate change of population of species in each partitioned region. Our method is independent of dimension and then can be applicable to other dimensional discrete models. Numerical examples are presented to verify the results in this paper.

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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