Nonstationary Vibrations of Piezoelectric Atomizer: Experimental Analysis and Mathematical Model

2020 ◽  
Vol 45 (11) ◽  
pp. 9725-9733
Author(s):  
Gözde Sarı ◽  
Yasemin Nur Aydın
Keyword(s):  
Mathematical Model ◽  
Experimental Analysis ◽  
Nonstationary Vibrations

Design and Experimental Analysis of Novel Refractometer Based on Photoelectric Sensor Technology

2011 ◽  
Vol 383-390 ◽  
pp. 5211-5215
Author(s):  
Yin Lin Li ◽  
Zhong Hua Huang ◽  
Kai Bo Hu
Keyword(s):  
Mathematical Model ◽  
Experimental Analysis ◽  
Differential Method ◽  
Theoretical Solution ◽  
Experimental Results ◽  
Sensor Technology ◽  
Photoelectric Sensor ◽  
Better Than

A novel refractometer based on photoelectric sensor technology and differential method is proposed. Sensing principle and mathematical model are introduced; structure and key parameters of sensing probe are designed through detail calculation. Theoretical solution shows resolution reaches order of 10-5. Preliminary experiments verify the feasibility of the design, experimental results show stability error better than ±1.02×10-4, error caused by temperature is 6.65×10-6/°C.

The Moving Object Detection and Research Effects of Noise on Images Based on Cellular Automata With a Hexagonal Coating Form and Radon Transform

2020 ◽  
pp. 330-359
Author(s):  
Ruslan Leonidovich Motornyuk ◽  
Stepan Mykolayovych Bilan
Keyword(s):  
Mathematical Model ◽  
Image Processing ◽  
Cellular Automata ◽  
Radon Transform ◽  
Experimental Analysis ◽  
Moving Objects ◽  
Image Identification ◽  
Radon Projections ◽  
Software And Hardware ◽  
Characteristic Features

Methods for image identification based on the Radon transform using hexagonal-coated cellular automata in the chapter are considered. A method and a mathematical model for the detection of moving objects based on hexagonal-coated cellular automata are described. The advantages of using hexagonal coverage for detecting moving objects in the image are shown. The technique of forming Radon projections for moving regions in the image, which is designed for a hexagonal-coated cellular automata, is described. The software and hardware implementation of the developed methods are presented. Based on the obtained results, a hexagonal-coated cellular automata was developed to identify images of objects based on the Radon transform. The Radon transform allowed to effectively extract the characteristic features of images with a large percentage of noise. Experimental analysis showed the advantages of the proposed methods of image processing and identification of moving objects.

Methods for Extracting the Skeleton of an Image Based on Cellular Automata With a Hexagonal Coating Form and Radon Transform

2020 ◽  
pp. 289-329
Author(s):  
Ruslan Leonidovich Motornyuk ◽  
Stepan Mykolayovych Bilan
Keyword(s):  
Mathematical Model ◽  
Image Processing ◽  
Cellular Automata ◽  
Radon Transform ◽  
Experimental Analysis ◽  
Moving Objects ◽  
History Of ◽  
Software And Hardware ◽  
Characteristic Features ◽  
Selection Of

The chapter describes a brief history of the emergence of the theory of cellular automata, their main properties, and methods for constructing. The image skeletonization methods based on the Euler zero differential are described. The advantages of using hexagonal coverage for detecting moving objects in the image are shown. The software and hardware implementation of the developed methods are presented. Based on the obtained results, a hexagonal-coated cellular automata was developed to identify images of objects based on the Radon transform. The method and mathematical model of the selection of characteristic features for the selection of the skeleton and implementation on cellular automata with a hexagonal coating are described. The Radon transform allowed to effectively extract the characteristic features of images with a large percentage of noise. An experiment for different images with different noises was conducted. Experimental analysis showed the advantages of the proposed methods of image processing and extraction of characteristic features.

Mathematical Model of Cable Winding/Unwinding System

2017 ◽  
Vol 35 (1) ◽  
pp. 131-143 ◽  
Author(s):  
Lj. B. Kevac ◽  
M. M. Filipovic
Keyword(s):  
Mathematical Model ◽  
Dynamic Response ◽  
Experimental Analysis ◽  
Software Package ◽  
Mathematical Formulation ◽  
Theoretical Contribution ◽  
Cable Length ◽  
Simulation Results ◽  
Dynamic Variables

AbstractThe general form of mathematical model of cable winding/unwinding system is defined for several different constructions. The novelty of this mathematical model is detection and mathematical formulation of influence of new dynamic variables: winding/unwinding radius and cable length on dynamic response of cable winding/unwinding system. The validity of the obtained theoretical contribution has been illustrated through one case study by using a newly developed software package CWUSOFT which was generated in MATLAB. Theoretical and simulation results are confirmed through the experimental analysis of one novel construction of the cable winding/unwinding system.

An Analysis of the Drill Wandering Motion

1987 ◽  
Vol 109 (4) ◽  
pp. 297-305 ◽  
Author(s):  
S. J. Lee ◽  
K. F. Eman ◽  
S. M. Wu
Keyword(s):  
Mathematical Model ◽  
Experimental Evidence ◽  
Analytical Model ◽  
Experimental Analysis ◽  
Hole Depth ◽  
Shaped Hole

An analytical model has been developed to investigate the drill wandering motion quantitatively. It has been shown mathematically why the resulting distorted polygon-shaped hole always has an odd number of sides during drill entry, and how the profile of the hole gradually becomes round with increasing hole depth. Drilling processes were simulated using this mathematical model and the results compared with experimental evidence. Subsequently, an experimental analysis on the influence of point geometry on drill wandering has been presented.

On the Mechanics of Tapping by Cutting

1977 ◽  
Vol 99 (1) ◽  
pp. 257-262 ◽  
Author(s):  
W. E. Henderer
Keyword(s):  
Mathematical Model ◽  
Experimental Analysis ◽  
Material Removal ◽  
Plane Deformation ◽  
Deformation Model ◽  
Groove Cutting

The mechanics of the tapping process by cutting have been investigated by means of a mathematical model that predicts the magnitude of torque and the parameters that influence torque variation. The analysis is based on an extension of the plane deformation model developed by Armarego for triangular groove cutting. Experimental analysis shows that additional contributions to torque exist that are not required for material removal alone. When these contributions are accounted for or are eliminated, the model provides an adequate torque prediction and responds properly to pertinent tapping parameters.

Damping of Power Swings Using a FACTS Device of the TCPS Type: Modelling and Laboratory Experiments

2007 ◽  
Vol 44 (3) ◽  
pp. 263-279 ◽  
Author(s):  
S. Robak ◽  
D. D. Rasolomampionona ◽  
M. Januszewski
Keyword(s):  
Mathematical Model ◽  
Computer Simulations ◽  
Experimental Analysis ◽  
Laboratory Experiments ◽  
Test System ◽  
Short Description ◽  
Laboratory Conditions ◽  
Power Swings ◽  
Set Up ◽  
The Mathematical Model

Considerations concerning the damping of power swings using a FACTS device like TCPS are presented in this paper. The case of a generator-infinite bus test system is taken into consideration. Phenomena have been analysed both by performing computer simulations of the mathematical model and experimental analysis in laboratory conditions. A short description is given of the laboratory set up equipped with a TCPS device used for the experimental analysis.

scholarly journals Experimental analysis of pressure-discharge relationship in a private water supply tank

2018 ◽  
Vol 20 (3) ◽  
pp. 608-621 ◽  
Author(s):  
Mauro De Marchis ◽  
Gabriele Freni ◽  
Barbara Milici
Keyword(s):  
Mathematical Model ◽  
Water Supply ◽  
Flow Rate ◽  
Experimental Analysis ◽  
Water Storage ◽  
Distribution Networks ◽  
Operating Conditions ◽  
Transient Model ◽  
Water Storage Capacity ◽  
Mediterranean Countries

Abstract In Mediterranean countries, users are often equipped with private tanks, which provide a temporary water storage capacity, able to compensate service interruptions due to either scarcity or irregularity of water supply. In the presence of private water storage, water supply is no longer linked to users' consumption and network-operating conditions can be off-design, therefore specific models have to be introduced in simulation models of water distribution networks. Here, a new mathematical model is proposed that is able to reproduce a tank's emptying/filling cycles. Specifically, by means of experimental analysis, a hyperbolic tangent law was tested to reproduce the filling process for private tanks. The flow rate is calculated by means of the classical Torricelli law, in which the float valve emitter coefficient and the valve area are calculated using a function that takes into account the water level within the private tank. The comparison obtained through the mathematical model and those observed from experiments confirmed the ability of the model to predict the flow rate balance within private tanks. The results show that the model is suitable for any length of float valve branch. The mathematical system can be easily used in a transient model to correctly estimate the supplied demand.

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