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This paper presents an orientation towards the medical engineering of the orthodontic dynamics. Mathematical formalisms, considered most representative, have selected. They are used in the actual detailed study of rather simple orthodontic processes. It is a enumeration of mathematical relations, limited in content and form, with the purpose of highlighting only the representative aspects of the calculation...
Exponential signal categories, usual in the orthodontic dynamics, are considered, damped aperiodic in relation to time and space. They are expressed through time and space constants. For predetermined conditions, expressed in final durations, final lengths and inflexion points, respectively, this paper presents a digital method for determining the structure parameters, by the resolution of two categories...
In this paper, a solution for the mathematical modeling and control of the seamless steel pipes heat-treating process is proposed, considering as case study the annealing procedure. The proposed mathematical modeling procedure is based on analytical identification. In order to implement the proposed temperature control structure, the neural networks are used for learning the behavior of the system...
In this paper, a solution for temperature modeling and control in a tunnel heat-treatment furnace, used in metallurgy, is presented. The mathematical model of the heating technological process associated to the furnace is expressed using a system of ordinary differential equations and it is determined through analytical modeling. Based on the obtained mathematical model, a simple PID (Proportional...
In this paper, some solutions for the 18O isotope separation process identification are proposed. In this context, both integer-order and fractional-order models are comparatively tested. Using the mean square error as quality indicator, the model considered as the identification problem solution is determined. Some interesting simulations are presented in the end of the paper, which prove both the...
The paper proposes a solution for the numerical simulation of the 15N isotope distributed parameter separation process. In order to simulate the separation process, the matrix of partial derivatives of the state vector method, associated with Taylor series, is used. Also, an alternative form of a partial differential equation, of second order with two independent variables, is proposed to the Cohen...
This paper presents the design of a control structure that ensures a constant isotopic concentration at the output of the 18O isotope cascade separation column, with an overshoot as small as possible. This paper focuses on obtaining a PID type controller, using the relay method as tuning method, due to the nonlinear behavior of the plant. The controller parameters are adjusted in order to achieve...
The paper presents a solution for the 18O isotope separation process control. The separation process is a non-linear one and it is modeled using the fractional-order systems theory, in order to obtain a higher accuracy. Based on the considered model, an Internal Model Control strategy is proposed for the 18O isotope concentration control. The used controller is an adaptive fractional-order one and...
The paper presents a solution for the 13C isotope concentration control inside and at the output of a separation column, solution based on the Internal Model Control strategy. The 13C isotope results from a chemical exchange process carbon dioxide - carbamate, which is a distributed parameter process. In order to model the mentioned process, an original form of the approximating analytical solution...
In this paper, a solution for the control of a chemical absorption process of a gas in liquid phase is proposed. The absorption process is treated as a distributed parameter one, its model being expressed using partial differential equations. The parameters of process model are experimentally determined. Also, the control strategy is based on using a modified PID controller with the form adapted to...
The paper presents a solution for modeling and simulation of the carbon dioxide absorption process in ethanol amine solution. The mentioned process is treated as a distributed parameter one, its model being expressed using a partial differential equation. Also, the paper proposes an original form of the analytical approximating solution which verifies the mentioned partial differential equation. In...
A solution for the pH control of the residual water in an industrial blunting system is proposed. The technological process associated to the blunting system is decomposed in four sub-processes connected in series and in parallel, each of them being a distributed parameter one. The mathematical models of the sub-processes are expressed using partial differential equations. Both this procedure and...
In this paper, a solution for the asphaltic emulsion temperature simulation and control in an industrial tank is proposed. The asphaltic emulsion heating process is a distributed parameter one and its model is expressed using a partial differential equation. In this context, an original solution of including a distributed parameter process in a control structure is presented. The numerical simulation...
This paper has an informal character. It is referring to distributed parameter processes whose analogical modeling and numerical simulation can be complex and laborious. In these cases, the following compromise can present a major interest: — the determination of some approximating solutions, relatively simple, but sufficiently close to the phenomena reality and on this base: — the elaboration of...
In this paper, a solution for the modeling-simulation of the temperature propagation phenomenon in the asphaltic emulsion from an industrial tank is presented. The heating process of the asphaltic emulsion is a distributed parameter one, its model being expressed using a partial differential equation. The modeling-simulation procedure is based on the matrix of partial derivatives of the state vector...
In this paper is presented a method for the numerical simulation of the distributed parameter processes, based on the matrix of partial derivatives of the state vector (Mpdx), associated with Taylor series. Depending on the process type, the numerical simulation algorithm can be run using Cartesian coordinates, spherical coordinates, cylindrical coordinates or spiral coordinates. Direct applications...
This paper presents a control system where the controlled plant is a distributed parameter process. Numerical simulation of the control system is accomplished using the method of Matrix of Partial Derivatives of the State Vector (Mpdx) associated with Taylor Series. By including a process modeled by a partial differential equation of second order with two independent variables, this presents (Mpdx...
It is presented the numerical simulation of a control system, with PID algorithm, for a process modeled through a partial differential equation of second order (PDE II·2), with respect to time (t) and to a spatial variable (p). The details of using the PID control are pointed out, for an example of a system which contains a process with PDE II·2 structure. A technological process from the isotope...
In this paper, a solution for the pH control of the residual water is presented. The blunting process is treated as a distributed parameter one, its model being expressed using equations with partial derivatives. The modeling-simulation procedure is based on the matrix of partial derivatives of the state vector associated with Taylor series, method that assures a very high accuracy. The convergent...
In this paper, an application of the analogical modeling and numerical simulation of the technical processes through the matrix of partial derivatives of the state vector (Mpdx) associated with Taylor series is presented. The residual water blunting process is modeled as a distributed parameters process through the usage of equations with partial derivatives. In this approach the variation of the...
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