Synthesis of Optimal Information and Energy Schemes of Measuring and Converting Devices

2021 ◽  
Vol 22 (10) ◽  
pp. 518-526
Author(s):  
A. B. Bushuev ◽  
V. I. Boikov ◽  
S. V. Bystrov ◽  
V. V. Grigoriev ◽  
O. K. Mansurova
Keyword(s):  
Patent Protection ◽  
Dynamic Properties ◽  
Operating Principle ◽  
Minimum Length ◽  
Dimensional System ◽  
Current Output ◽  
Input And Output ◽  
Extreme Problem ◽  
Resource Capacity ◽  
Physical Quantities

The synthesis of information and energy schemes is posed as an extreme problem, the purpose of which is a weighted directed graph of the minimum length from the input value to the output value of the device. The nodes of the graph are the physical effects included in the given database, and the branches are the input and output values of the effects. Nodes and branches are mathematically defined by diagonal multidimensional matrices, whose elements are determined by the dimensions of the quantities in the selected system of physical coordinates with a given number of basic units of measurement. The weight or resource intensity of the graph elements is determined by the norm of the corresponding matrices. The resulting circuit is suitable for use in technical documentation to explain the operating principle of the device, as well as for patent protection.In the enhanced formulation of the extreme problem, restrictions are introduced on the numerical values of the input and output values of the effect and its dynamic properties in the form of the transfer function of the effect. In this case, the size of the transfer matrices of nodes and branches is expanded by one. As a result, the transfer matrix of the effect contains information not only about the dynamic properties of the effect, but also about the dimensions of the physical quantities at its input and output.In a detailed example, the case of searching for the operating principle of a measuring-converting device of a pressure sensor with an electric current output is considered. To simplify the geometric representation of graph vectors on a plane, the problem is considered for a two-dimensional system of physical quantities with basic units of length and time. The calculation of the resource capacity is carried out according to the scheme of dimensional simulation, in which the phase variables of the differential equation enter with their physical dimensions. According to the numerical value of the resource capacity, you can compare different versions of the implementation of the operating physical principle of the device.

DYNAMIC PROPERTIES OF THE LARGE-DETUNING CAVITY QED SYSTEM IN THE PRESENCE OF CAVITY DECAY

2008 ◽  
Vol 22 (26) ◽  
pp. 2561-2570
Author(s):  
CHENG-YUAN GAO ◽  
LEI MA ◽  
JIN-MING LIU
Keyword(s):  
Cavity Qed ◽  
Dynamic Properties ◽  
Photon Number ◽  
Quantum Phase Gate ◽  
Cavity Decay ◽  
Phase Gate ◽  
Physical Quantities ◽  
Population Probability ◽  
Average Photon Number ◽  
Epr State

We consider a physical process of two Λ-type three-level atoms interacting with a bimodal cavity including the influence of the cavity decay. We analyze the influence of cavity decay on several physical quantities of the process, such as atomic population probability, residual entanglement, concurrence of two atoms, average population inversion, average photon number, the fidelity for quantum phase gate, and the fidelity of generating atomic EPR state. It is found that all of these physical quantities decrease with the increase of cavity decay when the other relevant parameters are fixed.

Nonlinear Stability and Bifurcation of Multi-D.O.F. Chatter System in Grinding Process

2006 ◽  
Vol 304-305 ◽  
pp. 141-145 ◽  
Author(s):  
Qing Kai Han ◽  
Tao Yu ◽  
Zhi Wei Zhang ◽  
Bang Chun Wen
Keyword(s):  
Dynamic Properties ◽  
Grinding Wheel ◽  
Dimensional System ◽  
Grinding Process ◽  
Center Manifold Theorem ◽  
Stability And Bifurcation ◽  
The Stability ◽  
Grinding Machine ◽  
Low Dimensional ◽  
Theoretical Analyses

The nonlinear chatter in grinding machine system is discussed analytically in the paper. In higher speed grinding process, the self-excited chatter vibration is mostly induced by the change of grinding speed and grinding wheel shape. Here the grinding machine tool is viewed as a nonlinear multi-D.O.F. autonomous system, in which hysteretic factors of contact surfaces are also introduced. Firstly, the DOFs of the above system are reduced efficiently without changing its dynamic properties by utilizing the center manifold theorem and averaging method. Then, a low dimensional system and corresponding averaging equations are obtained. The stability and bifurcation of chatter system are discussed on the base of deduced averaging equations. It is proved that chatter occurs as a Hopf bifurcation emerging from the steady state at the origin of system. The theoretical analyses on the multi-DOF chattering system will lead to further understanding of the nonlinear mechanisms of higher speed grinding processes.

scholarly journals EQUIVALENTS OF THE PASSIVE EIGHT-EARTH POLAR WITH THREE INPUT AND FIVE OUTPUT CONCLUSIONS

2019 ◽  
Vol 20 (9-10) ◽  
pp. 109-119
Author(s):  
G. A. Bolshanyn
Keyword(s):  
Electrical Energy ◽  
Input Voltage ◽  
Individual Case ◽  
Output Current ◽  
Current Output ◽  
Input And Output ◽  
Voltage Output ◽  
The Difference ◽  
Output Characteristics ◽  
The Relationship

Eight-poles of various designs, including an eight-terminal network with three input and five output terminals, are needed to replace some power objects. Especially when only the input and output characteristics of electrical energy are of interest. The paper presents the eightterminal network equations with three input and five output terminals, establishing a connection between these characteristics. Equations of the A-form establish a connection between the input and output voltages and currents; the B-form equations establish a connection between the output and input voltages and currents; G-form equations establish a connection between the input current, output voltages and output voltage, output currents; H-form equations establish the relationship between the input voltage, output currents and output current, output voltages; the Yform equations establish a connection between the input and output currents and the input and output voltages; The Z-form equations establish the relationship between the input and output voltages and the input and output currents. When implementing these equations, attention should be paid to the difference in the directions of the currents in each individual case.

Kinematic and Dynamic Analyses of Tripod Sliding Universal Joints

2009 ◽  
Vol 131 (6) ◽  
Author(s):  
X. F. Wang ◽  
D. G. Chang
Keyword(s):  
Joint Angle ◽  
Dynamic Properties ◽  
Relative Displacement ◽  
Output Shaft ◽  
Universal Joint ◽  
Angle Error ◽  
Input Shaft ◽  
Input And Output ◽  
Dynamic Analyses ◽  
Component Force

The kinematic and dynamic equations of the tripod sliding universal joint were established in order to understand the kinematic and dynamic properties thereof, and then the effects of the joint angle, the rotating radius of the slide rods, the length of the output shaft on the fluctuation of the joint angle, the output angle error, and the relative displacements of the slide rods were investigated. Meanwhile, the main dynamic curves were also obtained. In this work, each obtained curve is basically similar to a sinusoid. The joint angle, the output angle error, the forces or torques of two bearings of the input and output shafts as well as the load torque have a threefold frequency. The relative displacement of the slide rod to the tripod has a twofold frequency. The relative displacement of the slide rod to the hole of the input shaft and each component force acting on the tripod arms and holes of the input shaft have a simple frequency. The fluctuation amplitudes of the joint angle and relative displacements of the slide rods as well as the output angle error increase with the increase of the joint angle or the rotating radius of the slide rod. Increasing length of the output shaft decreases the fluctuation amplitudes of the joint angle and output angle error. However, the relative displacements of the slide rods hardly depend on this length.

scholarly journals Comparison between two approaches to modeling microsatellite DNA repeats: infinite dimensional model and its n-dimensional approximation

2011 ◽  
Vol 21 (4) ◽  
pp. 418-441
Author(s):  
Małgorzata Białka
Keyword(s):  
Microsatellite Dna ◽  
Dynamic Properties ◽  
Dimensional System ◽  
Dna Repeats ◽  
State Variables ◽  
Dimensional Model ◽  
Infinite Dimensional ◽  
Branching Random Walks ◽  
Dimensional Approximation ◽  
A Chain

Comparison between two approaches to modeling microsatellite DNA repeats: infinite dimensional model and itsn-dimensional approximationTwo approaches to modeling microsatellite DNA repeats are considered. The former is an infinite dimensional system based on the theory of branching random walks which dynamic properties are characterized using Laplace transforms and Laplace asymptotic techniques. The latter is ann-dimensional approximation where microsatellite DNA repeats model is the example of a chain system. Both models were the subject of many numerical calculations using the MATLAB software. The results allow us to evaluate the asymptotic behavior and determine the effect of the system parameters on the run of the solution and the state variables.

scholarly journals Synchronized Chaos of a Three-Dimensional System with Quadratic Terms

2020 ◽  
Vol 2020 ◽  
pp. 1-4
Author(s):  
Ali Allahem
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Exponent ◽  
Dynamic Properties ◽  
Three Dimensional ◽  
Phase Portraits ◽  
Dimensional System ◽  
Maximum Lyapunov Exponent ◽  
Control Parameters ◽  
Complete Synchronization ◽  
Three Dimensional System

In this paper, a novel chaotic new three-dimensional system has been studied by Zhang et al. in 2012. In the system, there are three control parameters and three different nonlinear terms which governed equations. Zhang et al. studied elementary (preliminary) dynamic properties of the chaotic new three-dimensional system by means of bifurcation diagram, maximum Lyapunov exponent, phase portraits, dynamics behaviors by changing some parameters etc., using all possible theoretical analysis and numerical simulation. In this paper, we have demonstrated its complete synchronization. The proposed results are verified by numerical simulations.

scholarly journals A Kalman Filter for Nonlinear Attitude Estimation Using Time Variable Matrices and Quaternions

Sensors ◽  
2020 ◽  
Vol 20 (23) ◽  
pp. 6731
Author(s):  
Álvaro Deibe ◽  
José Augusto Antón Nacimiento ◽  
Jesús Cardenal ◽  
Fernando López Peña
Keyword(s):  
Kalman Filter ◽  
Dynamic Behavior ◽  
State Vector ◽  
Time Variable ◽  
Explicit Calculation ◽  
Time Varying ◽  
Input And Output ◽  
Filter Approach ◽  
Augmented State ◽  
Physical Quantities

The nonlinear problem of sensing the attitude of a solid body is solved by a novel implementation of the Kalman Filter. This implementation combines the use of quaternions to represent attitudes, time-varying matrices to model the dynamic behavior of the process and a particular state vector. This vector was explicitly created from measurable physical quantities, which can be estimated from the filter input and output. The specifically designed arrangement of these three elements and the way they are combined allow the proposed attitude estimator to be formulated following a classical Kalman Filter approach. The result is a novel estimator that preserves the simplicity of the original Kalman formulation and avoids the explicit calculation of Jacobian matrices in each iteration or the evaluation of augmented state vectors.

scholarly journals A Nonisolated Three-Port DC–DC Converter with Continuous Input and Output Currents Based on Cuk Topology for PV/Fuel Cell Applications

Electronics ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 214 ◽  
Author(s):  
Balaji Chandrasekar ◽  
Chellammal Nallaperumal ◽  
Subranshu Dash
Keyword(s):  
Fuel Cell ◽  
Output Port ◽  
Operating Principle ◽  
Design Calculation ◽  
Renewable Sources ◽  
Cuk Converter ◽  
Input And Output ◽  
Pv Cell ◽  
Synthesis Procedure ◽  
Continuous Input

A nonisolated three-port DC–DC converter based on Cuk topology (NI-TPC) to handle the renewable sources (RS) is proposed in this paper. This converter includes two unidirectional input ports accommodating both a fuel cell (FC) and photovoltaic (PV) cell; and one output port with DC load. Due to the inductors at all the ports, it claims the advantage of continuous input and output currents. Additionally, it uses less number of switches, diodes and inductors compared with conventional ‘n-1’ separate Cuk converters. Synthesis procedure for a generalized n-port DC–DC structure is explained. The derivation law based on conventional Cuk converter, operating principle, design calculation, and analysis are presented in detail, and then the analysis is validated through simulation and a 100W prototype, verifying the performance of the proposed NI-TPC converter.

Static and Dynamic Properties of Rubber under Compression

1939 ◽  
Vol 12 (2) ◽  
pp. 381-393 ◽  
Author(s):  
C. W. Kosten
Keyword(s):  
Dynamic Behavior ◽  
Experimental Work ◽  
Torsional Vibration ◽  
Dynamic Properties ◽  
Permanent Set ◽  
Elastic Couplings ◽  
Physical Quantities

Abstract Rubber undoubtedly possesses a number of unique properties which make it a particularly suitable accessory material for constructional purposes; e. g., in elastic mountings, elastic couplings and dampers against torsional vibration on driving shafts. Its application to such uses, however, requires knowledge of other than the usual properties. Most of these are related to simple physical quantities such as modulus at a given elongation, hysteresis, permanent set and the like. In § 2 will be discussed magnitudes that may be entailed in the cases in question. Relations existing between the various magnitudes will come up for consideration in the course of the discussion. Most of the problems involved have already received some attention. Some of the more important investigations into this subject will be dealt with in § 3. Finally, the results of experimental work on the static and dynamic behavior of rubber under compression will be recorded in § 4.

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