ANALYSIS OF LIFTING MECHANISM OPERATION OF HOISTING MACHNIES

2015 ◽  
Vol 10 (2) ◽  
pp. 66-80 ◽  
Author(s):  
Мудров ◽  
Aleksandr Mudrov
Keyword(s):  
Chain Mechanism ◽  
Numerical Examples ◽  
The Real ◽  
Real Scheme ◽  
Theoretical Mechanics

The lifting mechanism of hoisting machines is presented as a compound-chain mechanism, parts of which perform different movements. In the study this mechanism is replaced by a two-tier mechanism, equivalent to the action with the real scheme. Based on the principles of theoretical mechanics, theory mechanisms and Dalamber principle, we received a model of work in three periods: start abd acceleration, steady movement, braking and stopping. The model allows to evaluate the existing static and dynamic moments and to take concrete practical solutions. Numerical examples of using the model was offered, the calculated values of moments and power in three periods of work on a particular lifting mechanism were determined. The model is convenient in practical use, because it doesn´t require cumbersome calculations.

scholarly journals Local convergence for a family of sixth order methods with parameters

2021 ◽  
Vol 5 (1) ◽  
pp. 300-305
Author(s):  
Christopher I. Argyros ◽  
◽  
Michael Argyros ◽  
Ioannis K. Argyros ◽  
Santhosh George ◽  
...  
Keyword(s):  
Banach Space ◽  
Convergence Analysis ◽  
Real Line ◽  
Local Convergence ◽  
Sixth Order ◽  
Numerical Examples ◽  
The Real ◽  
First Derivative ◽  
Local Convergence Analysis ◽  
Methods Numerical

Local convergence of a family of sixth order methods for solving Banach space valued equations is considered in this article. The local convergence analysis is provided using only the first derivative in contrast to earlier works on the real line using the seventh derivative. This way the applicability is expanded for these methods. Numerical examples complete the article.

Velocity Fluctuation in Spatial Four-Link Mechanisms

1981 ◽  
Vol 23 (3) ◽  
pp. 143-148
Author(s):  
M. O. M. Osman ◽  
R. V. Dukkipati
Keyword(s):  
Velocity Fluctuation ◽  
Algebraic Solution ◽  
Kinematic Parameters ◽  
Degree Polynomial ◽  
Numerical Examples ◽  
The Real ◽  
Real Roots ◽  
Geometric Conditions ◽  
Link Mechanism

This paper presents an algebraic solution of the velocity fluctuation in a spatial four-link mechanism. The geometric conditions governing the existence of extreme velocity ratios in a spatial four-link mechanism having one revolute pair, one prismatic pair, one spherical pair, and one cylinder pair have been obtained. It is shown that, in the general case, the extreme velocity ratios must be among the real roots of a tenth degree polynomial in kinematic parameters of the mechanism. Numerical examples are presented to illustrate the described procedure.

Robust Design Using Fuzzy Numbers: Consideration of Correlation of Design Variables in Fuzzy Operation

2000 ◽  
Author(s):  
Masao Arakawa ◽  
Hiroshi Yamakawa ◽  
Hiroshi Ishikawa
Keyword(s):  
Lower Bound ◽  
Robust Design ◽  
Fuzzy Numbers ◽  
Human Errors ◽  
Numerical Examples ◽  
The Real ◽  
The Past ◽  
Design Variables ◽  
Modeling Errors

Abstract These days robust design has become more and more important to raise reliability in the products under many kinds of imprecision, including human errors, modeling errors and so on. In the past, robust design only tries to obtain the robust design variables that have less sensitivity with quasi-optimum solutions. Recently, many researchers try to design not only of design variable’s value but also to its deviations. Which means that robust design tries to have wider range of design variables and still keeps robustness in the design. For the simplicity of calculation, most of them assume independence of design variables, thus, the ranges are determined by their upper and lower bound. However, in the real design almost every design variables are not independent with the influence of constraints. In this study, we will newly propose the method that can determine the relationships of design variables, something like correlation of design variables. We will show the effectiveness of the method by some numerical examples.

Optimal Control of the Flow of Risk on Networks

2015 ◽  
Vol 13 (3-4) ◽  
pp. 29-33
Author(s):  
Vassil Sgurev ◽  
Stanislav Drangajov
Keyword(s):  
Optimal Control ◽  
Network Flow ◽  
Optimal Distribution ◽  
Numerical Examples ◽  
The Real ◽  
Flow Method ◽  
Minimal Cut

Abstract A new network flow method is proposed in this work for optimal distribution of risk between the different sections (arcs) of the network. It is supposed at that that the maximum admissible risks on the arcs are known in advance. This provides a possibility these values to be considered as arc capacities and the risk itself as a network flow. Such an approach lets the maximal admissible risk to be determined on the network on the base of the well-known mincut-maxflow theorem as well as the minimal cut. Three different numerical examples are given through which the possibility of the method being proposed is confirmed in the real practices.

P-SV reflection moveouts for transversely isotropic media with a vertical symmetry axis

Geophysics ◽  
1991 ◽  
Vol 56 (8) ◽  
pp. 1271-1274 ◽  
Author(s):  
A. J. Seriff ◽  
K. P. Sriram
Keyword(s):  
Symmetry Axis ◽  
Short Note ◽  
Transversely Isotropic ◽  
Isotropic Layer ◽  
Numerical Examples ◽  
The Real ◽  
Polar Anisotropy ◽  
Transversely Isotropic Media ◽  
Isotropic Media ◽  
Transversely Isotropic Layer

In a recently published short note, F. K. Levin (1989) discusses the relation between the “moveout velocities” of P-P, P-SV, and SV-SV reflections from the bottom of a transversely isotropic layer with a vertical symmetry axis. We refer to such a medium as one exhibiting “polar anisotropy.” Levin’s note was prompted by a paper of Tessmer and Behle (1988), and it is relevant to a paper by Iverson and others (1989), both of which discuss the computation of shear velocities from moveout velocities obtained with P-P and P-S reflections. Levin’s note addresses the practically important question of the use of this method in the presence of polar anisotropy, a phenomenon which we believe occurs almost universally in the sedimentary layers of the real earth. Levin suggests that polar anisotropy of “typical” magnitude must be considered in this problem. He uses as an estimate of typical magnitudes data given by Thomsen (1986) and concludes from numerical examples that the method of estimating shear velocities proposed by Tessmer and Behle and by Iverson may be subject to unacceptably large errors in many real cases. Moreover, Levin suggests that the source of these errors is mysterious.

On Extreme Velocity Ratios in Spherical Four-Link Mechanisms

1976 ◽  
Vol 98 (4) ◽  
pp. 1260-1265 ◽  
Author(s):  
P. R. Pamidi
Keyword(s):  
Algebraic Polynomial ◽  
Numerical Examples ◽  
The Real ◽  
Real Roots ◽  
Spherical Mechanisms ◽  
Link Mechanism

The conditions for the existence of extreme velocity ratios in spherical four-link mechanisms have been investigated by algebraic means. It is shown that, in the general case, all such extreme velocity ratios must be among the real roots of a 10th-degree algebraic polynomial. The results make it possible to obtain the extreme velocity ratios of any given spherical four-link mechanism. The method of the paper has been illustrated by several numerical examples. Special formulations of the general case have also been considered and applications to some practical spherical mechanisms have been discussed. The results can also be used for synthesizing spherical four-link mechanisms with prescribed extreme velocity ratios.

Dynamic susceptibility of Fermi liquids at finite temperature

1976 ◽  
Vol 54 (6) ◽  
pp. 648-654 ◽  
Author(s):  
F. C. Khanna ◽  
H. R. Glyde
Keyword(s):  
Temperature Dependence ◽  
Imaginary Part ◽  
Finite Temperature ◽  
Fermi Liquid ◽  
Fermi Liquids ◽  
Dynamic Susceptibility ◽  
Closed Expression ◽  
Numerical Examples ◽  
The Real

A closed expression for the dynamic susceptibility of a noninteracting Fermi liquid at finite temperature is presented. The expression for the imaginary part is particularly simple while the real part appears as a sum. The calculation of the sum is discussed and numerical examples displaying the temperature dependence of the susceptibility are given.

Algebraic Geodesics on Three-Dimensional Quadrics

2015 ◽  
Vol 70 (12) ◽  
pp. 1049-1054
Author(s):  
Yue Kai
Keyword(s):  
Implicit Function Theorem ◽  
Three Dimensional ◽  
Algebraic Surfaces ◽  
Jacobi Method ◽  
Implicit Function ◽  
Third Order ◽  
Numerical Examples ◽  
The Real ◽  
The Third ◽  
Order Surface

AbstractBy Hamilton-Jacobi method, we study the problem of algebraic geodesics on the third-order surface. By the implicit function theorem, we proved the existences of the real geodesics which are the intersections of two algebraic surfaces, and we also give some numerical examples.

scholarly journals New Simpson type method for solving nonlinear equations

2021 ◽  
Vol 5 (1) ◽  
pp. 94-100
Author(s):  
U. K. Qureshi ◽  
◽  
A. A. Shaikhi ◽  
F. K. Shaikh ◽  
S. K. Hazarewal ◽  
...  
Keyword(s):  
Applied Sciences ◽  
Numerical Methods ◽  
Nonlinear Equation ◽  
Nonlinear Equations ◽  
Real World ◽  
Convergence Order ◽  
Type Method ◽  
Numerical Examples ◽  
The Real ◽  
Better Than

Finding root of a nonlinear equation is one of the most important problems in the real world, which arises in the applied sciences and engineering. The researchers developed many numerical methods for estimating roots of nonlinear equations. The this paper, we proposed a new Simpson type method with the help of Simpson 1/3rd rule. It has been proved that the convergence order of the proposed method is two. Some numerical examples are solved to validate the proposed method by using C++/MATLAB and EXCEL. The performance of proposed method is better than the existing ones.

On the Fractal Structure of Basin Boundaries in Two-Dimensional Noninvertible Maps

2003 ◽  
Vol 13 (07) ◽  
pp. 1767-1785 ◽  
Author(s):  
A. Agliari ◽  
L. Gardini ◽  
C. Mira
Keyword(s):  
Fractal Structure ◽  
Real Plane ◽  
Two Dimensional ◽  
Numerical Examples ◽  
The Real ◽  
Basin Boundary ◽  
Fractal Basin Boundary ◽  
Noninvertible Maps ◽  
Analytical Tools ◽  
Basin Boundaries

In this paper we give an example of transition to fractal basin boundary in a two-dimensional map coming from the applicative context, in which the hard-fractal structure can be rigorously proved. That is, not only via numerical examples, although theoretically guided, as often occurs in maps coming from the applications, but also via analytical tools. The proposed example connects the two-dimensional maps of the real plane to the well-known complex map.

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