VECTOR EQUATION OF A LINE: A SCRATCH APPLICATION

2019 ◽  
Author(s):  
Carlos Monteiro ◽  
Paula Catarino ◽  
Armando Soares ◽  
Benjamim Fonseca
Keyword(s):  
Vector Equation

Design and analysis of CICABOT: a novel translational parallel manipulator based on two 5-bar mechanisms

Robotica ◽  
2011 ◽  
Vol 30 (3) ◽  
pp. 449-456 ◽  
Author(s):  
M. F. Ruiz-Torres ◽  
E. Castillo-Castaneda ◽  
J. A. Briones-Leon
Keyword(s):  
Parallel Manipulator ◽  
Jacobian Matrix ◽  
Geometric Analysis ◽  
Vector Equation ◽  
Prismatic Joints ◽  
Hollow Cylinders ◽  
Moving Platform ◽  
Direct Kinematics

SUMMARYThis work presents the CICABOT, a novel 3-DOF translational parallel manipulator (TPM) with large workspace. The manipulator consists of two 5-bar mechanisms connected by two prismatic joints; the moving platform is on the union of these prismatic joints; each 5-bar mechanism has two legs. The mobility of the proposed mechanism, based on Gogu approach, is also presented. The inverse and direct kinematics are solved from geometric analysis. The manipulator's Jacobian is developed from the vector equation of the robot legs; the singularities can be easily derived from Jacobian matrix. The manipulator workspace is determined from analysis of a 5-bar mechanism; the resulting workspace is the intersection of two hollow cylinders that is much larger than other TPM with similar dimensions.

scholarly journals Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics

2019 ◽  
Vol 484 (6) ◽  
pp. 655-658 ◽  
Author(s):  
A. I. Aptekarev ◽  
Yu. G. Rykov
Keyword(s):  
Gas Dynamics ◽  
Variational Approach ◽  
Large Scale ◽  
Burgers Equation ◽  
Mass Conservation ◽  
Momentum Conservation ◽  
Material Objects ◽  
Vector Equation ◽  
Basic Principles ◽  
The Universe

The system of pressureless gas dynamics is a hydrodynamically justified generalization of the system consisting of the Burgers vector equation in the limit of vanishing viscosity and the mass conservation law. The latter system of equations was intensively used, in particular, in astrophysics to describe the large scale structure of the Universe. The solutions of the vector Burgers equation involve interesting dynamics of singularities, which can describe concentration processes. However, this dynamics does not satisfy the law of momentum conservation, which prevents us from treating it as dynamics of material objects. In this paper, momentum-conserving dynamics of singularities is investigated on the basis of the pressureless gas dynamics system. Such dynamics turns out to be more diverse and complex, but it is also possible to formulate a variational approach, for which the basic principles and relations are obtained in the work.

Energy Band Calculation of Spiral Single-Walled Carbon Nanotubes

2012 ◽  
Vol 535-537 ◽  
pp. 341-344 ◽  
Author(s):  
Hong Xia Wang ◽  
Zi Biao Song ◽  
Dai Zhi Liu
Keyword(s):  
Carbon Nanotubes ◽  
Band Gap ◽  
Electron Energy ◽  
Energy Band ◽  
Structural Parameters ◽  
Tight Binding ◽  
Single Walled Carbon Nanotubes ◽  
Vector Equation ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

On the base of the electron energy band structure of graphene obtained by the tight-binding method, the quantized wave vector equation along the circumferential director of the spiral single-walled carbon nanotubes was established through coordinate transformation and periodic boundary condition, and an analytical expression of the electron energy band was derived. MATLAB is used to calculate the energy band curve of spiral single-walled carbon nanotubes with different structural parameters. The characteristic of the energy band curves was analyzed and discussed. The results shows that single-walled carbon nanotubes (n, m) can be identified as metallic with no band gap nearly which satisfies n-m=3q(q is integer), otherwise, the nanotubes is semiconducting and there are band gaps between conduction band and valence band. And the band gap is inversely proportional to diameter approximately for semiconducting tubes.

Simulations of a logistic-type model with delays for Chagas disease with insecticide spraying

2017 ◽  
Vol 10 (03) ◽  
pp. 1750033 ◽  
Author(s):  
Nofe Al-Asuoad ◽  
Tyler Pleasant ◽  
Meir Shillor ◽  
Hrishikesh Munugala ◽  
Daniel J. Coffield ◽  
...  
Keyword(s):  
Chagas Disease ◽  
Rural Areas ◽  
Type Model ◽  
Time Lags ◽  
Disease Dynamics ◽  
Vector Equation ◽  
Basic Model ◽  
Two Delays ◽  
Delay Differential ◽  
Parameter Values

This work studies and numerically simulates a logistic-type model for the dynamics of Chagas disease, which is caused by the parasite T. cruzi and affects millions of humans and domestic mammals throughout rural areas in Central and South America. A basic model for the disease dynamics that includes insecticide spraying was developed in Spagnuolo et al. (2010) [27] and consists of a delay-differential equation for the vectors and three nonlinear ordinary differential equations for the populations of the infected vectors, infected humans and infected domestic mammals. In this work, the vector equation is modified by using a logistic term with zero, one or two delays or time lags. The aim of this study is three-fold: to numerically study the effects of using different numbers of delays on the model behavior; to find if twice yearly insecticide spraying schedules improve vector control; and to study the sensitivity of the system to the delays in the case of two delays, by introducing randomness in the delays. It is found that the vector equation with different number of delays has very different solutions. The “best” day of spraying is the middle of Spring and twice annual sprayings cause only minor improvements in disease control. Finally, the model is found to be insensitive to the values of the delays, when the delays are randomly distributed within rather narrow intervals or ranges centered on the parameter values used in Coffield et al. (2014) [8].

State-vector equation with damping and vibration analysis of laminates

2007 ◽  
Vol 28 (2) ◽  
pp. 253-259 ◽  
Author(s):  
Guang-hui Qing ◽  
Jian-xin Xu ◽  
Jia-jun Qiu
Keyword(s):  
State Vector ◽  
Vibration Analysis ◽  
Vector Equation
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