scholarly journals Features of dynamics and errors of vibrating gyroscopes

2020 ◽  
pp. 55-66
Author(s):  
Oleksander Zbrutsky ◽  
Volodymyr Gavrylenko ◽  
Viktor Trunov
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
Angular Velocity ◽  
Output Signal ◽  
Transfer Functions ◽  
Constant Error ◽  
Generalized Model

The obtained generalized mathematical model of micromechanical and rotary vibrating gyroscopes as meters of angular velocity and transfer functions of meters. The features of the dynamics of vibration gyros according to the generalized model and their influence on the properties of the transfer function of the angular velocity meter are determined. The properties of the constant error and the trend of the output signal of micromechanical gyroscopes are investigated.

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 Procedure of synthesising astatic digital tracking systems analytically from continuous prototypes

2017 ◽  
pp. 43-48
Author(s):  
T. A. Antonova ◽  
A. V. Semenov
Keyword(s):  
Transfer Function ◽  
Discrete System ◽  
Transfer Functions ◽  
Constant Error ◽  
Sampling Period ◽  
Discrete Systems ◽  
Synthesis Methods ◽  
Continuous Systems ◽  
Tracking Systems ◽  
Digital Tracking

The article deals with the problem of synthesising astatic digital tracking systems analytically, taking into account the requirements for astaticism quality and order; solving this problem leads to finding the desired transfer function of a discrete system based on a continuous prototype (a continuous transfer function). The advantage of the method specified above is that it makes it possible to eliminate the procedure bias caused by quantising desired transfer functions of continuous systems when synthesising astatic discrete systems. This bias is inherent in other synthesis methods that assume that reducing the sampling period will also lower the constant error. We used the MATLAB environment to develop our software implementing this method for automated construction of a desired transfer function of a discrete system

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.

Analytic integration of contrast transfer functions

1988 ◽  
Vol 46 ◽  
pp. 822-823
Author(s):  
Peter Rez
Keyword(s):  
Wave Function ◽  
Transfer Function ◽  
Transfer Functions ◽  
Spherical Aberration ◽  
Continuous Distribution ◽  
Objective Lens ◽  
Direction Parallel ◽  
Scattering Angle ◽  
Analytic Integration ◽  
Image Position

In high resolution microscopy the image amplitude is given by the convolution of the specimen exit surface wave function and the microscope objective lens transfer function. This is usually done by multiplying the wave function and the transfer function in reciprocal space and integrating over the effective aperture. For very thin specimens the scattering can be represented by a weak phase object and the amplitude observed in the image plane is1where fe (Θ) is the electron scattering factor, r is a postition variable, Θ a scattering angle and x(Θ) the lens transfer function. x(Θ) is given by2where Cs is the objective lens spherical aberration coefficient, the wavelength, and f the defocus.We shall consider one dimensional scattering that might arise from a cross sectional specimen containing disordered planes of a heavy element stacked in a regular sequence among planes of lighter elements. In a direction parallel to the disordered planes there will be a continuous distribution of scattering angle.

Trombone Transfer Functions: Comparison Between Frequency-Swept Sine Wave and Human Performer Input

2012 ◽  
Vol 37 (4) ◽  
pp. 447-454
Author(s):  
James W. Beauchamp
Keyword(s):  
Transfer Function ◽  
Transfer Functions ◽  
Cutoff Frequency ◽  
Sine Wave ◽  
Nonlinear Propagation ◽  
Linear Filter ◽  
Wave System ◽  
General Effect ◽  
Filter Characteristic ◽  
High Pass

Abstract Source/filter models have frequently been used to model sound production of the vocal apparatus and musical instruments. Beginning in 1968, in an effort to measure the transfer function (i.e., transmission response or filter characteristic) of a trombone while being played by expert musicians, sound pressure signals from the mouthpiece and the trombone bell output were recorded in an anechoic room and then subjected to harmonic spectrum analysis. Output/input ratios of the signals’ harmonic amplitudes plotted vs. harmonic frequency then became points on the trombone’s transfer function. The first such recordings were made on analog 1/4 inch stereo magnetic tape. In 2000 digital recordings of trombone mouthpiece and anechoic output signals were made that provide a more accurate measurement of the trombone filter characteristic. Results show that the filter is a high-pass type with a cutoff frequency around 1000 Hz. Whereas the characteristic below cutoff is quite stable, above cutoff it is extremely variable, depending on level. In addition, measurements made using a swept-sine-wave system in 1972 verified the high-pass behavior, but they also showed a series of resonances whose minima correspond to the harmonic frequencies which occur under performance conditions. For frequencies below cutoff the two types of measurements corresponded well, but above cutoff there was a considerable difference. The general effect is that output harmonics above cutoff are greater than would be expected from linear filter theory, and this effect becomes stronger as input pressure increases. In the 1990s and early 2000s this nonlinear effect was verified by theory and measurements which showed that nonlinear propagation takes place in the trombone, causing a wave steepening effect at high amplitudes, thus increasing the relative strengths of the upper harmonics.

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

DEVELOPMENT OF MATHEMATICAL MODEL OF THE OUTPUT SIGNAL FORMATION OF FERROPROBE UNDER SINGLE-POLARITY PULSE EXCITATION

2019 ◽  
Vol 70 ◽  
pp. 190-197
Author(s):  
V. S. Bezkorovainyi ◽  
◽  
Y. V. Livсov ◽  
V. V. Yakovenko ◽  
N. A. Shatova ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Output Signal ◽  
Pulse Excitation

Pulse-Width Modulated Amplifier for DC Servo System and Its Matlab Simulation

2015 ◽  
Vol 9 (1) ◽  
pp. 625-631
Author(s):  
Ma Xiaocheng ◽  
Zhang Haotian ◽  
Cheng Yiqing ◽  
Zhu Lina ◽  
Wu Dan
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
Input Signal ◽  
Pulse Width ◽  
Rotation Speed ◽  
Servo Motor ◽  
Matlab Simulation ◽  
Pulse Width Modulated ◽  
Signal Changes ◽  
The Relationship

This paper introduces a mathematical model for Pulse-Width Modulated Amplifier for DC Servo Motor. The relationship between pulse-width modulated (PWM) signal and reference rotation speed is specified, and a general model of motor represented by transfer function is also put forward. When the input signal changes, the rotation speed of the servo motor will change accordingly. By changing zeros and poles, transient performance of this system is discussed in detail, and optimal ranges of the parameters is recommended at the end of discussion.

Sign in / Sign up

Export Citation Format

Share Document