Modeling and Simulation of a Balanced Vane Pump

2001 ◽  
Author(s):  
A. Giuffrida ◽  
R. Lanzafame
Keyword(s):  
Mathematical Model ◽  
Modeling And Simulation ◽  
Vane Pump ◽  
The Real ◽  
Power Steering ◽  
Pumping Effect ◽  
Real Geometry ◽  
The Mathematical Model ◽  
As If

Abstract Literature concerning balanced vane pumps is fairly rich but covers solutions usually for power steering applications. The pump considered and modelled in this work presents fixed displacement, pressure balanced rotor like in the ones used for power steering but is different from them since the pumping effect of the chambers under each vane is not wasted as if the pump had a higher displacement under the same conditions. Beginning from the real geometry of the pump, this work presents the mathematical model and its simulation developed in AMESim.

scholarly journals RESEARCH OF THE TENSELY-DEFORMED STATE OF ELEMENTS OF MOBILE HEAT STORAGE

2020 ◽  
Vol 42 (2) ◽  
pp. 68-75
Author(s):  
V.G. Demchenko ◽  
А.S. Тrubachev ◽  
A.V. Konyk
Keyword(s):  
Mathematical Model ◽  
Heat Storage ◽  
Quantitative Estimation ◽  
The Real ◽  
State Of The Union ◽  
Real Geometry ◽  
Deformed State ◽  
The Mathematical Model ◽  
Minimization Of Functional

Worked out methodology of determination of the tensely-deformed state of elements of mobile heat storage of capacity type, that works in the real terms of temperature and power stress on allows to estimate influence of potential energy on resilient deformation that influences on reliability of construction and to give recommendations on planning of tank (capacities) of accumulator. For determination possibly of possible tension of construction of accumulator kinematics maximum terms were certain. As a tank of accumulator shows a soba the difficult geometrical system, the mathematical model of calculation of coefficient of polynomial and decision of task of minimization of functional was improved for determination of tension for Міzеs taking into account the real geometry of equipment. Conducted quantitative estimation of the tensely-deformed state of the union coupling, corps and bottom of thermal accumulator and the resource of work of these constructions is appraised. Thus admissible tension folds 225 МРа.

Modelling and Simulation of NO2 Dispersion Phenomenon in Atmosphere by Analytical-Experimental Methods

2008 ◽  
Vol 59 (10) ◽  
Author(s):  
Delia Perju ◽  
Harieta Pirlea ◽  
Gabriela-Alina Brusturean ◽  
Dana Silaghi-Perju ◽  
Sorin Marinescu
Keyword(s):  
Mathematical Model ◽  
Nitrogen Dioxide ◽  
Modeling And Simulation ◽  
Human Health ◽  
Experimental Methods ◽  
Negative Effects ◽  
Real Situation ◽  
Experimental Values ◽  
The Mathematical Model

The European laws and recently the Romanian ones impose more and more strict norms to the large nitrogen dioxide polluters. They are obligated to continuously improve the installations and products so that they limit and reduce the nitrogen dioxide pollution, because it has negative effects on the human health and environment. In this paper are presented these researches made within a case study for the Timi�oara municipality, regarding the modeling and simulation of the nitrogen dioxide dispersion phenomenon coming from various sources in atmosphere with the help of analytical-experimental methods. The mathematical model resulting from these researches is accurately enough to describe the real situation. This was confirmed by comparing the results obtained based on the model with real experimental values.

Optimal Model Selection Using MP Criterion for Uncertain Multivariable 2×2 Systems Based on IMC

2008 ◽  
Author(s):  
Inbal Shani ◽  
Neima Brauner ◽  
Coleman B. Brosilow
Keyword(s):  
Mathematical Model ◽  
Control Systems ◽  
Controller Design ◽  
Optimal Model ◽  
Time Constants ◽  
The Real ◽  
Real Process ◽  
Decoupled Control ◽  
The Mathematical Model ◽  
Performance Variations

IMC controller design for a process is based on choosing a mathematical model that describes the real process. The mathematical model describing such process is often not unique because the real variables of the process can vary within an interval. In such cases the performance of the control system varies, possibly substantially, as process parameters change. To limit such performance variations, we have developed an algorithm for choosing the model gains and the filter time constants of the IMC controller, to minimize the amount of interaction between outputs due to set point changes and disturbances for multivariable decoupled control systems. Some examples illustrate the algorithm.

scholarly journals Modeling and Simulation of Aviation Engine Ignition Spark Frequency Disorder

2015 ◽  
Vol 9 (1) ◽  
pp. 193-199 ◽  
Author(s):  
Shi Xudong ◽  
Li Hongguang ◽  
Wang Ruowen ◽  
Xu Meng
Keyword(s):  
Mathematical Model ◽  
Fault Diagnosis ◽  
Modeling And Simulation ◽  
Circuit Simulation ◽  
Aircraft Engine ◽  
Safety And Reliability ◽  
Fault Mechanism ◽  
The Mathematical Model ◽  
Ignition Device

Igniter is an important part of aircraft engine, which should be reliable to ensure safety. Spark frequency disorder is common fault to the aviation ignition device, and it is great hidden danger to the aircraft engine. To guarantee the safety and reliability of aviation igniter, the fault mechanism of the aviation ignition spark frequency disorder is researched in this paper. The factors which will result in spark frequency disorder are studied, and the mathematical model of the ignition circuit and circuit simulation are presented, which lays the foundation for the follow-up research on the design of aviation ignition and the fault diagnosis.

scholarly journals Distribution of Combat Capabilities on Objectives by Using a Transport Problem

2017 ◽  
Vol 23 (1) ◽  
pp. 15-20
Author(s):  
Alexandru Baboș ◽  
Alina-Mihaela Baboș
Keyword(s):  
Mathematical Model ◽  
Transportation Problem ◽  
Practical Problem ◽  
Transport Problem ◽  
Resources Allocation ◽  
Real Problem ◽  
Optimal Plan ◽  
Military Action ◽  
The Real ◽  
The Mathematical Model

Abstract The transport problem finds its application in situations where the upper echelons must draw up an optimal plan of resources allocation for combat capabilities on objectives. In order to achieve more reliable results for the real problem, the data needed to formulate the mathematical model are extracted from an order of operations. This paper presents the optimization of military action, showing how to solve a practical problem using the transportation problem.

scholarly journals Simulation of a Synchronous Planar Magnetically Levitated Motion System Based on a Real-Time Analytical Force Model

Energies ◽  
2020 ◽  
Vol 13 (23) ◽  
pp. 6367
Author(s):  
Ruotong Peng ◽  
Tong Zheng ◽  
Xing Lu ◽  
Xianze Xu ◽  
Fengqiu Xu
Keyword(s):  
Mathematical Model ◽  
Simulation Method ◽  
Physical Object ◽  
Force Model ◽  
The Real ◽  
Motion System ◽  
Testing Data ◽  
Magnetically Levitated ◽  
Yaw Angle ◽  
The Mathematical Model

The existing simulation method for the control of linear or planar magnetically levitated actuators always ignores the characteristics of the real physical object, which deteriorates the accuracy of the simulation. In this work, the proposed emulator for the magnetically levitated actuator is developed to consider both the force characteristics and the control algorithm. To model the real controlled object, the mathematical model for 1D (one-dimensional) and 2D (two-dimensional) magnetic arrays is derived where the yaw angle is taken into consideration using the coordinate transformation. The solution of the mathematical model is compared with the commercial BEM (boundary element method) software and the measurements from a force and torque testing setup to highlight the accuracy of the proposed mathematical model. Compared with the traditional simulation method of the motion control systems founded on the simplified system transfer function, the proposed simulation method has higher consistency and is closer to reality. The accuracy and efficiency of the proposed magnetic force model are further verified by the emulator based on the numerical force model and the testing data of the real setup.

scholarly journals Research on Mathematical Model for Non-Uniformly Qualitative Suspension Cable

2018 ◽  
Vol 175 ◽  
pp. 03039
Author(s):  
Hu Yong ◽  
Du Yuxin ◽  
Cao Yong ◽  
Wang MaoSen ◽  
Ma Yuchi ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Perturbation Method ◽  
Radio Telescope ◽  
Theoretical Basis ◽  
Transcendental Function ◽  
Concentrated Loads ◽  
Real Situation ◽  
The Real ◽  
Suspension Cable ◽  
The Mathematical Model

Catenary theory is recognized as the most effective suspension theory which can reflect the real situation of suspension. Catenary equation belongs to transcendental function, so there are some difficulties in calculation and application. Parabola theory, suspension curve theory and perturbation method are gradually formed as the theoretical basis for the study of suspension cables. This paper takes the 500m spherical radio telescope project as the background. The modeling method of suspension cable under multiple concentrated loads is analyzed, and the mathematical model of supporting cable after load is derived. The research in this paper provides a reference for the establishment of mathematical model of suspension cable in practice.

MODELING AND SIMULATION OF AUTOMOBILE ANTI-LOCK BRAKING SYSTEM BASED ON SIMULINK

2012 ◽  
Vol 11 (02) ◽  
pp. 99-106 ◽  
Author(s):  
XIAOKAN WANG ◽  
QIONG WANG
Keyword(s):  
Mathematical Model ◽  
Modeling And Simulation ◽  
Pid Controller ◽  
Control Module ◽  
Braking Performance ◽  
Braking System ◽  
The Mathematical Model

This article establishes the mathematical model of automobile anti-lock braking system (ABS) in the Simulink environment and tracks the research and simulation of the ABS established mathematical model, which is based on the control module with the PID controller. From the simulation curve, we can verify automobile ABS with good braking performance and direction maneuverability.

scholarly journals PARAMETER IDENTIFICATION IN ESTUARINE MODELING

1980 ◽  
Vol 1 (17) ◽  
pp. 143
Author(s):  
Wen-Sen Chu ◽  
William W-G. Yeh
Keyword(s):  
Mathematical Model ◽  
Parameter Identification ◽  
Transport Equation ◽  
Hydraulic Model ◽  
Physical Point ◽  
The Real ◽  
The Past ◽  
Estuarine Modeling ◽  
The Mathematical Model ◽  
Hydrodynamics Equations

Parameter Identification (PI) algorithm is an optimization procedure that systematically searches the parameters embedded in a mathematical model. These parameters are not measurable from a physical point of view. The optimization is based on the minimization of a selected norm of the differences between the solution of the mathematical model and scattered observations collected from the system. Parameter identification (or inverse problem) has been studied in groundwater systems extensively for the past decade (15), and it has also drawn many researchers in the fields of open-channel flow and estuarine modeling since 1972 (1,2,9,17). All the past estuarine PI works in the literature are confined to the one-dimensional case, and hydrodynamics and transport equations are treated separately. This study deals with PI in a two-dimensional vertically-averaged estuarine salinity model. The salinity transport equation is coupled with the hydrodynamics equations. The coupled relationship introduces extra density terms in the hydrodynamics equations, which must be solved simultaneously with the transport equation. One of the most difficult problems in PI is the collection of needed observations from the system which is being modeled. With limited exception, the currently available data from the prototype estuaries are not adequate for the purposes of developing a PI algorithm. This is usually critical in quantity (the number of stations and/or the period of time) and in quality (noise of data). However, if an operational hydraulic model is available, the data could then be obtained economically and accurately under an ideally controlled environment. The large amount of data that can be collected from a hydraulic model of an estuary will provide a sufficient number of observations and the required initial and boundary conditions for the development of a PI algorithm. The use of the estuary hydraulic model could provide a better source of prototype data than would be available from the real estuary. It will be much easier to distinguish between the inadequacy of the mathematics and the inadequacy of our understanding of the prototype. Thus, it will give us an idea of how well we could expect to mathematically model the real estuary if we had an unlimited amount of prototype data. Additionally, when these types of data are used in PI, parameters can be optimally identified and the mathematical model can then be used conjunctively with the hydraulic model for prototype applications, provided that the mathematical model is consistently formulated. How well a hydraulic model simulates the prototype estuary is not considered in this study.

scholarly journals Pemecahan Problem Efisiensi Faktor Produksi dengan Metode Linear Programming

2018 ◽  
Vol 20 (1) ◽  
pp. 20
Author(s):  
Surahman Surahman
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Problem Solving ◽  
Decision Maker ◽  
Real Condition ◽  
The Real ◽  
The Mathematical Model

<p>The problem solving of the production element efficiency by using linear programming can be done by formulating the mathematical model. The principles that have to be kept first are:</p><ol><li>The whole set of the problems can be divided into activity parts.</li><li>Each of the activities must have been determined precisely (about the quantity)</li><li>The quantity must have devided precisely</li><li>The limit of the capacity should be determined</li><li>Making the model</li></ol><p>After that, the next step is finding the solution. However, one thing to remember is that the problem solving using linear programming is only a medium. About the application depends on the decision maker or the user that will not be out from the real condition.</p>

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