scholarly journals Electro Magneto Elastic Actuator for Nanoscience

2019 ◽  
Vol 3 (1) ◽  
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
External Load ◽  
Transfer Functions ◽  
Physical Parameters ◽  
Structural Scheme ◽  
Matrix Transfer Function ◽  
The Matrix ◽  
The Mathematical Model

The mathematical model, the structural scheme, the matrix transfer function, the characteristics of the electro magneto elastic actuator is obtained. The transfer functions of the magneto elastic actuator are described the characteristics of the actuator with regard to its physical parameters and external load.

scholarly journals DEVELOPMENT OF MATHEMATICAL MODEL OF THE CONTROL SYSTEM OF LINKS OF THE SNAKE LIKE ROBOT

2016 ◽  
Vol 2 (1) ◽  
pp. 150-154
Author(s):  
Гладышев ◽  
Andrey Gladyshev ◽  
Алейников ◽  
Andrey Aleynikov ◽  
Афонин ◽  
...  
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Control System ◽  
Transfer Function ◽  
Transfer Functions ◽  
Modular Control ◽  
The Moment ◽  
External Forces ◽  
The Mathematical Model ◽  
Angle Of Rotation

The mathematical model of a modular control system of links of the snake like robot for realization of the wave movement considering the moments of the external forces created by adjacent links and external indignations is given in work. As model of the electric drive of a direct current the differential equation of the second order connecting tension of u(t) given on the electric motor, the moment of loading of Mn (t) and an output angle of rotation of a shaft θ(t) is used. Transfer functions of separate links are calculated, and transfer function of a control system in general is received.

scholarly journals NUMERICAL SEARCH OF MATHEMATICAL MODEL PARAMETERS OF FOOD PRODUCTS FROM HYDROBIONTS FOR PASTEURIZATION PPROCESS

2021 ◽  
Vol 2021 (2) ◽  
pp. 89-98
Author(s):  
Alexander Alekseevich Zhuk
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
Transfer Functions ◽  
Food Products ◽  
Model Parameters ◽  
Product Model ◽  
Canned Food ◽  
Product Temperature ◽  
Order Factor ◽  
The Mathematical Model

The article highlights the numerical search for the mathematical model parameters of food products from hydrobionts put into hermetically sealed canning containers. The mathematical description of the canned products was given as transfer functions. The input value is a retort short-term temperature-time dependence and the output value is the product temperature dynamics. The search for the transfer function coefficients was performed by the numerical optimization method based on the plant response. The product temperature response data was obtained experimentally with thermologgers of the “iButton Data Loggers” series during canned food pasteurization. The numerical search for the mathematical model parameters of food products was carried out using the software AutoCont Lite: SeekerC developed by the author at the Automation and Computer Engineering Department of Murmansk State Technical University. A first-order factor was chosen as a candidate for a product model in a tin can, and for a product in a glass container there was chosen a third-order factor. To solve the problem of numerical search for model parameters the integral estimate was employed as an optimization criterion. It is calculated as the square deviation between the output values of the model and the plant over the investigation period. The research resulted in mathematical models of fishery-canned products obtained in the transfer function form. The obtained result was applied for modeling and subsequent automatic control system implementation for the industrial autoclave ASCAMAT-230 during the canned food pasteurization.

scholarly journals Electromagnetoelastic Actuator for Nanobiomedical Research

2018 ◽  
Vol 1 (2) ◽  
Keyword(s):  
External Load ◽  
Transfer Functions ◽  
Physical Parameters ◽  
Structural Diagram ◽  
The Matrix

In this work the structural diagram and the transfer functions, the characteristics of the electromagnetoelastic actuator for nanobiomedical research are obtained. The generalized structural diagram, the matrix transfer functions of the electromagnetoelastic actuator make it possible to describe the characteristics of the actuator with regard to its physical parameters, external load.

Structural-parametric model of an electroelastic actuator for nanomechanics

2020 ◽  
pp. 3-11
Author(s):  
S.M. Afonin
Keyword(s):  
Transfer Function ◽  
Piezoelectric Actuator ◽  
Transfer Functions ◽  
Piezoelectric Effect ◽  
Parametric Model ◽  
Elastic Compliance ◽  
Parametric Models ◽  
Piezo Actuator ◽  
Structural Scheme ◽  
Model Transfer

Structural-parametric models, structural schemes are constructed and the transfer functions of electro-elastic actuators for nanomechanics are determined. The transfer functions of the piezoelectric actuator with the generalized piezoelectric effect are obtained. The changes in the elastic compliance and rigidity of the piezoactuator are determined taking into account the type of control. Keywords electro-elastic actuator, piezo actuator, structural-parametric model, transfer function, parametric structural scheme

Automated System of Stabilization and Position Control of Aviation Equipment

2019 ◽  
pp. 297-330
Author(s):  
Olha Sushchenko
Keyword(s):  
Position Control ◽  
Transfer Functions ◽  
Controller Design ◽  
Robust Stabilization ◽  
Automated System ◽  
Simulink Model ◽  
The Matrix ◽  
Stabilized Platform ◽  
And Control ◽  
The Mathematical Model

In this chapter, the author presents the problems of design of the robust automated system for stabilization and control of platforms with aircraft observation equipment. The mathematical model of the triaxial stabilized platform is developed. The procedure of synthesis of robust stabilization system based on robust structural synthesis is represented. The above-mentioned procedure uses loop-shaping approach and method of the mixed sensitivity. The matrix weighting transfer functions are obtained. The optimization programs in MatLab are developed. The developed procedures are approved based on the results of simulation by means of the appropriate Simulink model. The obtained results can be useful for unmanned aerial vehicles and aircraft of special aviation, which are used for monitoring technical objects and aerial photography. The technical contributions are procedures of the robust controller design represented as the flowchart. The proposed approach is validated by application of the theoretical suppositions to the concrete example and appropriate simulation results.

Simplified Adaptive Nonlinear Robust Controller for Linearized Pantagraph-Type Manipulator

1995 ◽  
Vol 7 (3) ◽  
pp. 242-249 ◽  
Author(s):  
Kiyotaka Izumi ◽  
◽  
Keigo Watanabe ◽  
Masatoshi Nakamura ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Physical Parameters ◽  
Additional Mass ◽  
Robust Controller ◽  
End Effector ◽  
Linear Controller ◽  
The Mathematical Model ◽  
Nonlinear Robust

If physical parameters are adjusted suitably in the pantagraph-type manipulator, the mathematical model becomes linear so that we can apply a linear controller. However, when the manipulator has an additional mass as an end-effector, the linear controller does not work well because the resultant model becomes nonlinear. In this paper, we propose a simplified adaptive nonlinear robust controller which we can apply to the manipulator, irrespective of the system linearity or nonlinearity. The effectiveness of the controller is illustrated by some simulations.

Analysis of Vibrating Natural Frequency of Pressure Pipeline

2011 ◽  
Vol 421 ◽  
pp. 98-101
Author(s):  
Ting Yue Hao
Keyword(s):  
Mathematical Model ◽  
Natural Frequency ◽  
Critical Flow ◽  
Physical Parameters ◽  
Beam Model ◽  
Instability Condition ◽  
Coupling Vibration ◽  
Critical Flow Velocity ◽  
Pressure Pipeline ◽  
The Mathematical Model

The pressure pipeline is simplified as the beam model with two simple supported ends. The mathematical model is established, considering influence of the fluid-solid coupling vibration. Then the critical flow velocity is obtained by calculation and solving. By analyzing the practical numerical example，the influence of physical parameters on the first three-order natural frequency is discussed. Using Matlab software for programming, the instability condition of pressure pipeline is obtained, which is consistent with the result of numerical calculation.

Vibration Analysis of a Vertical Roller Mill: Modeling and Validation

2014 ◽  
Author(s):  
Engin H. Çopur ◽  
Metin U. Salamci ◽  
Selahattin Gülbeyaz
Keyword(s):  
Mathematical Model ◽  
Vibration Analysis ◽  
Compressive Force ◽  
Vibration Characteristics ◽  
Physical Parameters ◽  
Roller Mill ◽  
Vibration Tests ◽  
Working Parameters ◽  
The Mathematical Model ◽  
Vertical Roller

In this paper, vibration characteristics of a Vertical Roller Mill (VRM) are studied by using physical parameters of an operating VRM. The mathematical model is derived and simulated for a set of working parameters. Mechanical properties of the grinding material and the physical properties of the mechanical construction are used in the vibration model in order to obtain more realistic results. Simulation results are presented which give critical frequencies of the VRM. The effects of the hydraulic compressive force to the vibration characteristics are investigated. The effects of the material feeding rate (which affects the mineral thickness to be grinded) to the vibration characteristics are also simulated. In order to validate the mathematical model, a set of experimental vibration tests are performed on the VRM. Vibrations are measured during the run-down procedure of the VRM in order to determine natural frequencies of the mill as well as excitation frequencies of the system. The measurements showed the validity of the proposed mathematical model for the vibration analysis of the VRM.

scholarly journals DETERMINATION OF TRANSFER FUNCTION OF MAGNETIC LEVITATION MODEL AND EXPERIMENTAL VERIFICATION OF OPTICAL SENSOR

2019 ◽  
pp. 148-154
Author(s):  
Erik Prada
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
Experimental Verification ◽  
Optical Sensor ◽  
Magnetic Levitation ◽  
Positioning Systems ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
The Mathematical Model

Urgency of the research. The potential of controlling the position of levitating objects has great application in deposition and in various positioning systems. Magnetic levitation eliminates direct mechanical friction between moving parts. Target setting. The measurement shielding method used is one of the methods of determining the position of a levitating object. By combining positioning and regulating elements, we achieve a feedback control. The use of a given type of measurement has advantages in places where the use of other methods is not appropriate. Actual scientific researches and issues analysis. The problem of magnetic levitation is addressed by several research laboratories with a direct connection to practice. The problem that is currently solved within magnetic levitation is the regulation of the levitating object using various types of regulators. The research objective. Derivation of mathematical model of magnetic levitation and examination of nonlinear system followed by linearization by Taylor series. Experimental determination of characteristics and dependence between object position, voltage and current. The statement of basic materials. The position of the levitating object is determined by the shading of the optical sensor. The light source is a laser light. Conclusions. In this work we defined the mathematical model of the magnetic levitation system and subsequently derived the transfer function of the levitation system and the position sensor. From the experimental verification of the shadow method for the determination of the position of the levitating object and the consequent need for regulation, we found that the dependence of the position of the levitating object on current and voltage on the photodiode is linear in the active region.

scholarly journals Electromagnetoelastic Actuator for Nano Physics and Optics Sciences

2020 ◽  
pp. 1-3
Author(s):  
Afonin SM ◽  
Keyword(s):  
Transfer Function ◽  
Control Systems ◽  
Adaptive Optics ◽  
Mechanical Characteristics ◽  
Scanning Microscopy ◽  
Piezo Actuator ◽  
Matrix Transfer Function ◽  
The Matrix

The regulation and mechanical characteristics of the electromagnetoelastic actuator are obtained for control systems in nano physics and optics sciences for scanning microscopy, adaptive optics and nano biomedicine. The piezo actuator is used for nano manipulators. The matrix transfer function of the electromagnetoelastic actuator is received for nano physics and optics sciences

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