scholarly journals Vector model of the timing diagram of automatic machine

2013 ◽  
Vol 4 (2) ◽  
pp. 391-396 ◽  
Author(s):  
A. Jomartov
Keyword(s):  
Transfer Functions ◽  
Equations Of Motion ◽  
Automatic Machine ◽  
Vector Model ◽  
Timing Diagrams ◽  
Timing Diagram

Abstract. In this paper a vector model of timing diagram of automatic machine is developed, which allows us to solve a variety dynamic tasks by changing the parameters of timing diagram of its mechanisms. The connection between the parameters of the timing diagram of automatic machine and equations of motion mechanisms through functions of position and transfer functions of mechanisms is established. The vector model of timing diagram can be used to optimize the timing diagrams of looms and polygraphic machines.

Errors of Timing Diagram of Automatic Machine

2014 ◽  
Vol 565 ◽  
pp. 228-232
Author(s):  
Assylbek Jomartov
Keyword(s):  
Automatic Machine ◽  
Vector Form ◽  
Timing Diagrams ◽  
Timing Diagram

The paper presents the method of determining of the errors of timing diagram of automatic machine. The timing diagram of automatic machine is represented in a vector form with preservation of the visibility of a linear timing diagram. To determine of the errors of actuation of the mechanisms is used the method of calculating of dimensional chains. The method allows taking into account the errors of operation of mechanisms of automatic machine at design of the timing diagrams.

Hamilton’s Principle, Lagrange’s Method, and Ship Motion Theory

1984 ◽  
Vol 28 (04) ◽  
pp. 229-237 ◽  
Author(s):  
Touvia Miloh
Keyword(s):  
Lagrangian Density ◽  
Transfer Functions ◽  
Equations Of Motion ◽  
Steady Motion ◽  
Harmonic Oscillation ◽  
Wave Radiation ◽  
Forward Speed ◽  
Forward Motion ◽  
Radiation Problem ◽  
Lagrange’S Method

Lagrange's equations of motion, describing the motion of several bodies on or below a free surface, are here derived from Hamilton's variational principle. The Lagrangian density is obtained by extending Luke's principle to the wave-radiation problem, and the hydrodynamical loads on the bodies are expressed in terms of the Lagrangian density and its derivatives with respect to the generalized coordinates of the bodies. First we consider a forced harmonic oscillation without a forward speed and then we discuss the case of the same oscillatory motion superimposed on arbitrary steady motion. In both cases we employ Lagrange's method to derive the transfer functions between the generalized forces and the amplitudes of the harmonic motions, in terms of added mass, damping, and the hydrostatic restoring coefficients. The case of a steady forward motion, for which the transfer function is already known, is obtained as a particular case of the general solution.

Precision engraving automatic machine tool of an integrated computer-copying system

2020 ◽  
pp. 71-77
Author(s):  
M.H. Magomedov ◽  
G.H. Magomedov ◽  
A.E. Gromov ◽  
A.V. YAkovlev
Keyword(s):  
Machine Tool ◽  
Equations Of Motion ◽  
Standard Setting ◽  
Automatic Machine ◽  
Stepper Motor ◽  
Pixel Image ◽  
Kinematic Diagram

The principle of operation and functional-kinematic diagram of a three-coordinate impact-engraving machine tool of a computer-copying system are considered. The errors of the machine tool are analyzed, the ways of their elimination are suggested. Kinematic equations of motion of an impactor tool along a zigzag trajectory are derived. The dynamics of a controlled vibration generator is investigated in the mode of standard setting of the machine tool. Keywords: impact-engraving machine tool, integrated computer-copying system, Ae-product, pixel image, functional-kinematic diagram, stepper motor, kinematic trajectory, vibration generation. [email protected]

scholarly journals A massive non-abelian vector model

2013 ◽  
Vol 91 (2) ◽  
pp. 164-167 ◽  
Author(s):  
F.A. Chishtie ◽  
D.G.C. McKeon
Keyword(s):  
Lagrange Multiplier ◽  
Equations Of Motion ◽  
Vector Model ◽  
Radiative Corrections

The introduction of a Lagrange multiplier field to ensure that the classical equations of motion are satisfied serves to restrict radiative corrections in a model to only one loop. The consequences of this for a massive non-abelian vector model are considered.

scholarly journals Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

2017 ◽  
Vol 2017 ◽  
pp. 1-49 ◽  
Author(s):  
Alexei A. Deriglazov ◽  
Walberto Guzmán Ramírez
Keyword(s):  
General Relativity ◽  
Relativistic Quantum ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Theoretical Description ◽  
Vector Model ◽  
Relativistic Quantum Mechanics ◽  
Spinning Particle ◽  
Rotating Body ◽  
Relativistic Spin

We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in external gravitational and electromagnetic fields. The formalism is developed starting from the Lagrangian variational problem, which implies both equations of motion and constraints which should be presented in a model of spinning particle. We present a detailed analysis of the resulting theory and show that it has reasonable properties on both classical and quantum level. We describe a number of applications and show how the vector model clarifies some issues presented in theoretical description of a relativistic spin: (A) one-particle relativistic quantum mechanics with positive energies and its relation with the Dirac equation and with relativistic Zitterbewegung; (B) spin-induced noncommutativity and the problem of covariant formalism; (C) three-dimensional acceleration consistent with coordinate-independence of the speed of light in general relativity and rainbow geometry seen by spinning particle; (D) paradoxical behavior of the Mathisson-Papapetrou-Tulczyjew-Dixon equations of a rotating body in ultrarelativistic limit, and equations with improved behavior.

scholarly journals On the time evolution of cosmological correlators

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Sebastián Céspedes ◽  
Anne-Christine Davis ◽  
Scott Melville
Keyword(s):  
Time Evolution ◽  
Transfer Functions ◽  
Equations Of Motion ◽  
Late Time ◽  
De Sitter ◽  
Initial State ◽  
Conformal Boundary ◽  
Sitter Spacetime ◽  
Boundary Operators ◽  
Simple Equations

Abstract Developing our understanding of how correlations evolve during inflation is crucial if we are to extract information about the early Universe from our late-time observables. To that end, we revisit the time evolution of scalar field correlators on de Sitter spacetime in the Schrödinger picture. By direct manipulation of the Schrödinger equation, we write down simple “equations of motion” for the coefficients which determine the wavefunction. Rather than specify a particular interaction Hamiltonian, we assume only very basic properties (unitarity, de Sitter invariance and locality) to derive general consequences for the wavefunction’s evolution. In particular, we identify a number of “constants of motion” — properties of the initial state which are conserved by any unitary dynamics — and show how this can be used to partially fix the cubic and quartic wavefunction coefficients at weak coupling. We further constrain the time evolution by deriving constraints from the de Sitter isometries and show that these reduce to the familiar conformal Ward identities at late times. Finally, we show how the evolution of a state from the conformal boundary into the bulk can be described via a number of “transfer functions” which are analytic outside the horizon for any local interaction. These objects exhibit divergences for particular values of the scalar mass, and we show how such divergences can be removed by a renormalisation of the boundary wavefunction — this is equivalent to performing a “Boundary Operator Expansion” which expresses the bulk operators in terms of regulated boundary operators. Altogether, this improved understanding of the wavefunction in the bulk of de Sitter complements recent advances from a purely boundary perspective, and reveals new structure in cosmological correlators.

scholarly journals Numerical Assessment of the Mean Power Production of a Combined Wind and Wave Energy Platform

2012 ◽  
Author(s):  
Thomas Soulard ◽  
Aurélien Babarit
Keyword(s):  
Wave Energy ◽  
Transfer Functions ◽  
Equations Of Motion ◽  
Energy Converter ◽  
Mean Power ◽  
Annual Average ◽  
Ocean Wave Energy ◽  
Numerical Assessment ◽  
Absorbed Power ◽  
The Mean

This paper synthesizes the performance evaluation of a hybrid ocean wave energy converter. The case of interest represents a singular approach to combine a 5MW wind turbine with floating oscillating wave surge converters (OWSCs). The first section describes the comprehensive set of equations of motion in both frequency and time domain. The mathematical and hydrodynamic assumptions are highlighted together with the numerical model. The second part starts with the assessment of the initial performance of this device, carried out on in-house simulation codes. The first stage of numerical validation is based on the linear transfer functions (RAOs) results. The analysis of these RAOs also exposes interesting mechanical properties of this particular device. Eventually, the annual average absorbed power figures are extracted from the power matrices calculated for a few different sites.

Synthesis of Timing Diagram of Mechanisms of Machine

2014 ◽  
Vol 945-949 ◽  
pp. 614-618
Author(s):  
Assylbek Jomartov
Keyword(s):  
Vector Model ◽  
Timing Diagram

Method for the synthesis of timing diagram of mechanisms of machine is presented in this work. This method is based on the vector model and allows take into account the precision of mechanisms, connection of the displacements of mechanisms and errors of timing diagram.

A solvable four-dimensional model with gauge symmetry

1992 ◽  
Vol 70 (6) ◽  
pp. 441-450 ◽  
Author(s):  
D. G. C. McKeon ◽  
T. N. Sherry
Keyword(s):  
Vector Field ◽  
Lagrange Multiplier ◽  
Path Integral ◽  
Equations Of Motion ◽  
Background Field ◽  
Dynamical Theory ◽  
Vector Model ◽  
Quantum Field Theories ◽  
Yang Mills ◽  
Classical Lagrangian

Recently, interest has been focused on quantum field theories in which a Lagrange multiplier field occurs in the classical Lagrangian. This has the effect of restricting the sum over classical paths in the path integral to solutions of the classical field equation. Examples of such theories are the dynamical theory of two-dimensional gravity proposed by Jackiw and Teitelboim, the Chern–Simons formulation of gravity in 2 + 1 dimensions by Witten, and the path-integral formulation of classical systems by Gozzi. We examine, in this paper, a gauge theory in which a vector field [Formula: see text] acts as a Lagrange multiplier in the classical Lagrangian, ensuring that a vector field [Formula: see text] satisfies the Yang–Mills equations of motion. Quantization can be carried out either using BRST quantization or by using the Faddeev–Popov procedure. Either by explicitly integrating over the field [Formula: see text] and its associated ghost fields, or by directly examining the Feynman perturbation theory, it can be established that all diagrams beyond one-loop order vanish, allowing one to compute the one-particle irreducible generating functional exactly. Background-field quantization is introduced to simplify the renormalization program. The β function is computed in closed form. In an appendix we show how our interaction can be derived from Yang–Mills theory based on a group G or by considering the Yang–Mills theory for a group IG. This can be extended to deal with four interacting gauge fields. A second appendix deals with a scalar model that superficially resembles our vector model.

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