scholarly journals Measurement of Relative Position of Camera and Optical Beacon by Simultaneous Passive Method

2019 ◽  
Vol 8 (1) ◽  
pp. 1 ◽  
Author(s):  
Jiri Nemecek ◽  
Martin Polasek
Keyword(s):  
Mathematical Model ◽  
Relative Position ◽  
Analytical Method ◽  
Measurement Method ◽  
Position Angle ◽  
Experimental Measurements ◽  
Light Sources ◽  
Passive Measurement ◽  
Passive Method ◽  
The Mathematical Model

The paper deals with a problem of a passive measurement of the relative position of an optical beacon and an optical camera by a simultaneous analytical method. The beacon is composed of nine light sources which are arranged in space in a defined way. The proposed beacon layout enables the measurement of the beacon range and one position angle of the camera. This paper presents the mathematical model of the measurement method and the results, which were gathered on the basis of two experimental measurements. The first experiment was only indicative. The extreme results of the second experiment were as follows: the minimum and maximum absolute percentage errors of the beacon range were zero and 1.72%, the minimum and maximum errors of the position angle were 0.1 deg and 1.64 deg. The standard commercial cameras and lenses with different focal lengths were used.

scholarly journals Passive Measurement of Three Optical Beacon Coordinates Using a Simultaneous Method

Sensors ◽  
2021 ◽  
Vol 21 (15) ◽  
pp. 5235
Author(s):  
Jiri Nemecek ◽  
Martin Polasek
Keyword(s):  
Mathematical Model ◽  
Relative Position ◽  
Experimental Tests ◽  
Image Sensor ◽  
Geometric Parameters ◽  
Light Sources ◽  
Feature Points ◽  
Passive Measurement ◽  
The Mathematical Model ◽  
Physical Principles

Among other things, passive methods based on the processing of images of feature points or beacons captured by an image sensor are used to measure the relative position of objects. At least two cameras usually have to be used to obtain the required information, or the cameras are combined with other sensors working on different physical principles. This paper describes the principle of passively measuring three position coordinates of an optical beacon using a simultaneous method and presents the results of corresponding experimental tests. The beacon is represented by an artificial geometric structure, consisting of several semiconductor light sources. The sources are suitably arranged to allow, all from one camera, passive measurement of the distance, two position angles, the azimuth, and the beacon elevation. The mathematical model of this method consists of working equations containing measured coordinates, geometric parameters of the beacon, and geometric parameters of the beacon image captured by the camera. All the results of these experimental tests are presented.

scholarly journals Mathematical model for reliability indicators calculation of tethered UAV hybrid navigation system

2021 ◽  
Vol 2091 (1) ◽  
pp. 012033
Author(s):  
V M Vishnevsky ◽  
K A Vytovtov ◽  
E A Barabanova ◽  
V E Buzdin
Keyword(s):  
Mathematical Model ◽  
Navigation System ◽  
Analytical Method ◽  
Mathematical Expression ◽  
Equation System ◽  
Kolmogorov Equation ◽  
Reliability Indicators ◽  
Technical Vision ◽  
The Mathematical Model ◽  
First Time

Abstract The mathematical model for reliability indicators calculation of the hybrid navigation system containing microwave and technical vision subsystems is proposed in this paper for the first time. The proposed method is based on the translation matrix concept of solutions to the Kolmogorov equation system and it allows us to obtain the mathematical expression of availability factor, downtime ratio, and other reliability indicators. Also the presented approach allows finding the reliability indicators for the cases of jump change of transition intensities caused by external influences. Besides the analytical method can be used for investigation of hybrid navigation system transient mode functioning. The results of the numerical calculations clearly demonstrated correctness of the proposed approach.

Parameters Determination of PID in MAX1978

2012 ◽  
Vol 588-589 ◽  
pp. 1458-1461
Author(s):  
Mei Mei Lv ◽  
Tie Liang Lv ◽  
Guo Feng Ou
Keyword(s):  
Mathematical Model ◽  
Measurement Method ◽  
Frequency Measurement ◽  
Frequency Characteristics ◽  
Working Principle ◽  
The Mathematical Model

The system based on the working principle of MAX1978 and TEC, using multi-point at different frequency measurement method, and establishing corresponding mathematical model. Confirmed the pole-zero plot of the PID, according to the amplitude-frequency and phase-frequency characteristics of the mathematical model, and then, adjusted the corresponding resistance and capacitance of the circuit to make the accuracy of the temperature adjustment to 1E-3centigrade.

scholarly journals Mathematical modelling of the drying process of sugar beet pulp with macro and microelement additions in order to improve the feed quality

2020 ◽  
Vol 180 ◽  
pp. 03020
Author(s):  
Elena Mihaela Nagy ◽  
Constantin Coţa ◽  
Zoltan Gyorgy ◽  
Teodora Deac
Keyword(s):  
Mathematical Model ◽  
Sugar Beet ◽  
Phosphoric Acid ◽  
Mathematical Modelling ◽  
Animal Feed ◽  
Hydrated Lime ◽  
Experimental Measurements ◽  
Drying Process ◽  
Beet Pulp ◽  
The Mathematical Model

In this paper a kinetic study is performed on the drying process of beet pulp with additions of macro-elements (Ca2+, Mg 2+, PO42+) from hydrated lime, hydrated dolomite lime, phosphoric acid and microelements (Co2+, Zn 2+, Fe2+, Mn2+), with the purpose of obtaining premixes with substantially improved value for animal feed. The experimental measurements made served to elaborate the mathematical model by means of which the speed with which the drying process is carried out is described, thus being able to calculate the stationing time of the material in the dryer. The equations for calculating the stationary time of the material in the dryer can be used for designing dryers (sizing them).

Analytic Modeling of Rolling Force during the Hot Rod Rolling of Multiple Alloying Steels

2010 ◽  
Vol 97-101 ◽  
pp. 2975-2978 ◽  
Author(s):  
Lei Yang ◽  
Yi Zhu He ◽  
Hui Zhang ◽  
Yin Sheng He ◽  
Kee Sam Shin
Keyword(s):  
Mathematical Model ◽  
Analytical Method ◽  
Rolling Force ◽  
Log Data ◽  
Analytic Modeling ◽  
Rod Rolling ◽  
The Mathematical Model

This paper proposes a semi-analytical method for the prediction of rolling force for rod rolling. The grooves of the passes are oval-round and round-oval. The mathematical model of rolling force is based on Shinkura and Takai’s model, but incorporates the effects of recrystallization and the alloy elements. Hot rod rolling experiments are conducted to examine the proposed semi-analytical method. The predicting values are compared with the mill log data, and they agree excellently over the whole rolling course. The predictions indicate that recrystallization affects the resistance of the material during hot rod rolling.

scholarly journals A mathematical model for identifying the fractional derivative parameter and predicting the results for the fluid flow equation in the well

2021 ◽  
pp. 72-79
Author(s):  
Темирхан Султанович Алероев ◽  
Алла Николаевна Хворова
Keyword(s):  
Mathematical Model ◽  
Fractional Derivatives ◽  
Fractured Reservoirs ◽  
Flow Equation ◽  
Oil Fields ◽  
Coefficient Of Determination ◽  
Experimental Measurements ◽  
Steady State Flow ◽  
Fluid Flow Equation ◽  
The Mathematical Model

В данной статье рассматривается идентификации параметров математической модели, основанной на дифференциальном уравнении с дробными производными. С помощью этой модели описывается установившееся течение в скважине в трещинном деформированном пласте. Рассматриваемая модель может быть использована и при разработке нефтяных месторождений с трещиноватыми коллекторами. Идентификация параметра осуществлялась с помощью оптимизации показателя качества адекватности математической модели - коэффициента детерминации. Также была представлена технология прогнозирования результатов давлений, для области, в которой не проводились экспериментальные измерения. Предлагаемая технология сопровождена расчетами. This article discusses the identification of the parameters of a mathematical model based on a differential equation with fractional derivatives. This model is used to describe the steady-state flow in a well in a fractured deformed formation. The considered model can be used in the development of oil fields with fractured reservoirs. The identification of the parameter was carried out by optimizing the quality indicator of the adequacy of the mathematical model the coefficient of determination. The technology for predicting the results of pressures was also presented, for an area in which no experimental measurements were carried out. The proposed technology is accompanied by calculations.

scholarly journals Analysis effects of oil viscosity and temperature on orbit of ring gear in internal gear motor and pump

2019 ◽  
Vol 70 (3) ◽  
pp. 153-161
Author(s):  
Hoa Pham Trong
Keyword(s):  
Mathematical Model ◽  
Position Angle ◽  
Metal Contact ◽  
Ring Gear ◽  
Oil Viscosity ◽  
Contact Phenomenon ◽  
Simulation Results ◽  
Mobility Method ◽  
Internal Gear ◽  
The Mathematical Model

Effect of oil temperature and viscosity on the ring gear orbit in the internal gear motor and pump is analyzed in this study. The mobility method is used to calculate the ring gear orbit. The mathematical model of oil viscosity and temperature is then integrated into the mobility method. The simulation results point out that the oil temperature and viscosity have great effect on the eccentricity, position angle and minimum oil film thickness. The metal - to - metal contact phenomenon occurs if internal gear motor and pump operates under high values of oil temperature or low values of oil viscosity conditions.

Analysis effects of oil viscosity and temperature on orbit of ring gear in internal gear motor and pump

2019 ◽  
Vol 70 (3) ◽  
pp. 153-161
Author(s):  
Hoa Pham Trong
Keyword(s):  
Mathematical Model ◽  
Position Angle ◽  
Metal Contact ◽  
Ring Gear ◽  
Oil Viscosity ◽  
Contact Phenomenon ◽  
Simulation Results ◽  
Mobility Method ◽  
Internal Gear ◽  
The Mathematical Model

Effect of oil temperature and viscosity on the ring gear orbit in the internal gear motor and pump is analyzed in this study. The mobility method is used to calculate the ring gear orbit. The mathematical model of oil viscosity and temperature is then integrated into the mobility method. The simulation results point out that the oil temperature and viscosity have great effect on the eccentricity, position angle and minimum oil film thickness. The metal - to - metal contact phenomenon occurs if internal gear motor and pump operates under high values of oil temperature or low values of oil viscosity conditions.

Investigation of Light Interaction With Transient Expanding Thick Flames

2003 ◽  
Author(s):  
Farzan Parsinejad ◽  
Hameed Metghalchi
Keyword(s):  
Mathematical Model ◽  
High Speed ◽  
Experimental Measurements ◽  
Cylindrical Chamber ◽  
Spherical Flames ◽  
Experimental Facilities ◽  
Light Beams ◽  
The Mathematical Model ◽  
Optical Behavior ◽  
Good Agreement

Optical behavior of spherical flames has been investigated using Shadowgraph method. A mathematical model has been developed to predict the intensity profile of refracted light beams interacting with a transient expanding thick flame. Experimental facilities have been built to visualize transient expanding spherical flames. Facilities include a cylindrical chamber with two end glasses for optical observation. Shadowgraph pictures of flame propagation have been taken using a high speed Charged Coupled Device camera. Flame edge has been located using the mathematical model and it has been compared to experimental measurements. Experimental results are in very good agreement with those predicted by the theoretical model.

Generalized Memristor Consisting of Diode Bridge with First Order Parallel RC Filter

2014 ◽  
Vol 24 (11) ◽  
pp. 1450143 ◽  
Author(s):  
Bocheng Bao ◽  
Jingjing Yu ◽  
Fengwei Hu ◽  
Zhong Liu
Keyword(s):  
Mathematical Model ◽  
Hysteresis Loops ◽  
Experimental Measurements ◽  
First Order ◽  
The Mathematical Model ◽  
Pinched Hysteresis ◽  
Order Parallel

A generalized memristor consisting of a memristive diode bridge with a first order parallel RC filter is proposed in this letter. The mathematical model of the circuit is established and its fingerprints are analyzed by the pinched hysteresis loops with different periodic stimuli. The results verified by experimental measurements indicate that the proposed circuit is a simple voltage-controlled generalized memristor.

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