Elastoplastic Analysis of Structure Composed of Columns Based on the Basic Equation System

2012 ◽  
Vol 166-169 ◽  
pp. 159-163 ◽  
Author(s):  
You Li
Keyword(s):  
Basic Equation ◽  
Equation System ◽  
Elastoplastic Analysis ◽  
Simple Problem ◽  
Classical Plasticity ◽  
New Equation ◽  
The Given

Textbooks of plasticity mechanics have given example for elastoplastic analysis of structure composed of columns, but the given example is solved with the method of material mechanics. There is actually some difficulty to solve the structure composed of columns with the basic equation system of the classical plasticity mechanics. The new equation system of plasticity mechanics based on e-p curve has advantage over the classical one. In this paper, the solution will be really obtained with the basic equation system of plasticity mechanics based on e-p curve, which is not only a job to solve a simple problem with the basic equation system, but also a demonstration to show that the new equation system of plasticity mechanic based on e-p curve is correct and practicable.

scholarly journals Development of the methods of calculation of the electrical installations working operation in case of quality supply disturbance

2020 ◽  
Vol 7 (3) ◽  
pp. 140-155
Author(s):  
Ismael Saeed ◽  
◽  
Azad Mohammed
Keyword(s):  
Electrical Equipment ◽  
Equation System ◽  
Fault Current ◽  
Modes Of Operation ◽  
Operating Modes ◽  
Longitudinal Asymmetry ◽  
Methods Of Calculation ◽  
Short Circuits ◽  
The Mathematical Model ◽  
The Given

This paper proposes a method of calculating of asymmetrical modes of operation of electrical installations where simple and adequate loads equivalent circuits are available with working electrical equipment. So the mathematical model of equation system is derived as universal way for calculating the systems operating modes when it is subjected to a disturbance due to asymmetry. With the help of the obtained model we can calculate different cases of symmetry disturbances, all types of short circuits, between phase short circuits, any type of longitudinal asymmetry, open circuits when there is a resistance for the fault current at the place of damage In the given method, specific types of asymmetry are considered as particular cases and easily calculated from the generalized formula, which is essentially reduces the calculation and allows us to consider cases of asymmetry of any complexity. Therefore this method is offered as a basic for calculation of asymmetry when the system is subjected to a disturbance.

scholarly journals A collocation method for the Williams equation with Chebyshev polynomials

2021 ◽  
Vol 2056 (1) ◽  
pp. 012005
Author(s):  
O V Germider ◽  
V N Popov
Keyword(s):  
Collocation Method ◽  
Chebyshev Polynomials ◽  
Basic Equation ◽  
Gas Flow ◽  
Diffuse Reflection ◽  
Constant Pressure ◽  
Plane Channel ◽  
Reflection Model ◽  
Linearized Problem ◽  
The Given

Abstract The linearized problem of gas flow in plane channel with infinite walls has been solved in the kinetic approximation. The flow in the channel is caused by a constant pressure gradient parallel to the walls of the channel. The Williams equation has been used as a basic equation, and the boundary condition has been set in terms of the diffuse reflection model. The collocation method for Chebyshev polynomials has been applied to construct the solution of the equation of Williams with the given boundary conditions. The mass flux of the gas in the channel has been calculated.

The Comparative Study of Rectangular Microstrip Patch Antenna for HiperLAN/2 and SDMB

2018 ◽  
Vol 6 (7) ◽  
pp. 295
Author(s):  
Shilpa S R
Keyword(s):  
Comparative Study ◽  
Resonant Frequency ◽  
Patch Antenna ◽  
Basic Equation ◽  
Microstrip Patch Antenna ◽  
Band Frequency ◽  
Microstrip Patch ◽  
Rectangular Microstrip Patch Antenna ◽  
The Comparative Study ◽  
The Given

This paper presents, for the given resonant frequency the micro strip antenna slot dimensions are computed. Rectangular Microstrip Patch Antenna (RMPA) selected for two frequencies one in S band and C band. S band frequency in 2.6GHz and C band frequency in 5.6GHz these frequency was selected and using basic equation we calculated dimensions and the nature of the curves are compared.

The Uncertainty in Solutions to Implicit Equation Systems

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
B. Terry Beck ◽  
Robert J. Peterman ◽  
Chih-Hang John Wu
Keyword(s):  
Measurement Problem ◽  
Equation System ◽  
Practical Application ◽  
Sensitivity Matrix ◽  
Practical Applications ◽  
Implicit Equation ◽  
Solution Algorithms ◽  
The Given ◽  
Independent Parameters ◽  
Nonlinear Equation Systems

Abstract This paper introduces a general methodology for determining the uncertainty of the solution to implicit systems of equations. Equation systems of this type arise from many practical applications, including the analysis of pipe networks, and in the implementation of complex numerical (finite difference or finite element) solution algorithms. The procedure is applicable to either linear or nonlinear equation systems, and does not require any specific algorithm for solution to the equation system itself. A general sensitivity matrix is constructed from an implicit sensitivity analysis of the equation system. This overall sensitivity matrix is expressed in terms of input and output sensitivity matrices, which represent the sensitivity of the equation system to changes in the independent (parameters) and dependent (calculated) variables, respectively. A vector representing the root-mean-square (RMS) uncertainty of the solution variables in the equation system is then given as a function of the given uncertainty in the input parameters. Two specific examples are presented to illustrate the practical application of the technique: (1) An example from fluid mechanics evaluating the uncertainty in solutions to a pipe network problem and (2) an example evaluating the uncertainty of a thermistor calibration and measurement problem.

On the Position and the Slope of the w–r Curve, the Ranging of Techniques and the Changes of Prices due to a Change of the Income Distribution

2019 ◽  
Vol 67 (3-4) ◽  
pp. 196-215
Author(s):  
Georg Stamatis
Keyword(s):  
Income Distribution ◽  
Unsolved Problem ◽  
Equation System ◽  
Price Equation ◽  
Nominal Wage ◽  
Profit Rate ◽  
Maximum Profit ◽  
Switching Phenomenon ◽  
The Given ◽  
R Relation

The well-known w–r relation results from the price equation system and the normalisation equation, that is, the equalisation of price of the normalisation commodity (numéraire) with a positive constant. In this article, we show that the w–r relation is neither that of the given technique nor that of the given production system, but that of the normalisation subsystem, that is, the subsystem which, using the above-mentioned technique, produces the normalisation commodity as its own net product. So, the maximum nominal wage rate, the slope and the maximum profit rate of the w–r relation vary with the normalisation commodity and the above constant. In inference of them, (a) the comparison and the ranking of given techniques concerning our profitability as the choice of the most profitable of them too is in reality a comparison, a ranking and a choice of the corresponding normalisation subsystems; (b) the phenomena of re-switching appear and disappear due to the change of the normalisation commodity; and (c) the comparison, the ranking, the choice of techniques and the ascertainment of the re-switching phenomenon are impossible. Finally, the normalisation subsystem tenders an index magnitude to solving the as yet unsolved problem of how the prices change with income distribution.

RE-FORMATION OF MOBILE AGENTS STRUCTURE BY THE SYNCHRONIZATION OF COUPLED CHAOTIC OSCILLATORS

2003 ◽  
Vol 06 (03) ◽  
pp. 427-440
Author(s):  
MASAO KUBO ◽  
YOSHIYUKI SASAKABE
Keyword(s):  
Mobile Agents ◽  
Equation System ◽  
System Behavior ◽  
Chaotic Oscillators ◽  
New Equation

A new equation system (based on synchronization of coupled chaotic oscillators) is proposed for bringing autonomous mobile agents into formation. Chaotic itinerancy of the oscillators is used to generate the re-formation. Sannomiya's fish simulator is applied to test the system behavior and the re-formation performance was verified using trajectory and quantitative measures.

scholarly journals On The Solutions of Some Difference Equations Systems and Analytical Properties

2018 ◽  
Vol 22 ◽  
pp. 01050
Author(s):  
Münevver Tuz
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Equation System ◽  
Asymptotic Behavior Of Solutions ◽  
Asymptotic Results ◽  
Order Difference ◽  
Positive Balance ◽  
Second Order Difference Equation ◽  
Order Difference Equation ◽  
The Given

In this study, we investigated the global asymptotic behaviors of their solutions by taking the second-order difference equation system. According to the given conditions, we obtained some asymptotic results for the positive balance of the system. We have also worked on q-fast changing functions. Such functions form the class of q-Caramate functions. We have applied q-Caramate functions to linear q-difference equations and We have also learned about the asymptotic behavior of solutions. In addition, we have studied the problem of initial and boundary value for the q-difference equation

scholarly journals Proses Pembentukan Konsep dalam Menemukan Kembali Teorema Pythagoras dan Miskonsepsi yang Terjadi dengan Pendekatan Pendidikan Matematika Realistik Indonesia (PMRI)

2019 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
Fauzi Mulyatna
Keyword(s):  
Mathematical Modeling ◽  
Qualitative Research ◽  
Concept Formation ◽  
Equation System ◽  
Pythagorean Theorem ◽  
Learning Activity ◽  
The Given ◽  
Data Subject

This research aims to find out the process of concept formation in reinventing Pythagorean Theorem and to analyze the result of that process and the misconceptions that may emerge. The type of this research is qualitative research which is analyzed descriptively. This research applies class setting method in learning activity with the implementation of PMRI approach and it focuses on two subjects. The results shows that the process of concept formation in reinventing the Pythagorean Theorem with PMRI approach can work well. However, the two subjects have not been able to construct the given problem, which is in the form of a question, to be the form of a mathematical modeling. Subject 1 still processes the information rawly. Therefore, the result of concept finding with his/her knowledge used for solving problems by the same model has not been able to reduce data. Subject 2 has been able to process the obtained information and he/she can interpret the problem further. However, both subjects still experience misconceptions not only in their already possessed knowledge but also their newly acquired knowledge. Those misconceptions are misconception in calculating operation of equation system, which should be calculating operation on both segments but it is only carried out in one segment, misconception in describing hypotenuse and misconception in naming edges of a right triangle.

A New Generalization of the (2+1)-dimensional Davey-Stewartson Equation

2001 ◽  
Vol 56 (9-10) ◽  
pp. 613-618 ◽  
Author(s):  
Ji Lin ◽  
Xiao-yan Tang ◽  
Sen-yue Lou ◽  
Ke-lin Wang
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Integrable System ◽  
Fourier Expansion ◽  
Reduction Method ◽  
Nonlinear Partial Differential Equation ◽  
Equation System ◽  
Lax Pair ◽  
Integrable Equation ◽  
New Equation

Abstract Using an asymptotically exact reduction method based on Fourier expansion and spatiotemporal re-scaling, a new integrable system of the nonlinear partial differential equation in (2+1)-dimensions, extended Davey-Stewartson I equation, is deduced from a known (2+1)-dimensional integrable equation. The integrability of the new equation system is explicitly proved by the spectral transformation. Actually, the corresponding Lax pair of the new equations can be obtained by applying the same reduction method to the Lax pair of the original equation.

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