A simple mathematical model of spontaneous swallow effects on breathing based on new experimental data

2016 ◽  
Author(s):  
Julie Fontecave-Jallon ◽  
Pierre Baconnier
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Simple Mathematical Model

scholarly journals Bulk Modulus of Copper Alloys in Context of Modern Metal Theory

2018 ◽  
Vol 1 (1) ◽  
pp. 681-686
Author(s):  
Janusz Chrzanowski ◽  
Bohdan Bieg
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Quantum Theory ◽  
Measurement Error ◽  
Bulk Modulus ◽  
Copper Alloys ◽  
Energy Levels ◽  
Simple Mathematical Model ◽  
Potential Measurement ◽  
Percentage Composition

Abstract The authors used a modern quantum theory allowing to determine the energy levels of electrons in real metal. Based on that analytical equations have been presented by means of which the bulk modulus for chosen metals were calculated. It should be emphasized that all values obtained directly from the derived equation are in perfect conformity with the experimental data, a few percentage differences are comparable with the potential measurement error. Subsequently a simple mathematical model has been proposed which allows to calculate the bulk modulus of copper alloys depending on their percentage composition. The authors performed numerical calculations for the typical copper alloys and the results are presented in the form of graphs.

Short Fiber Reinforcement of Elastomers

1974 ◽  
Vol 47 (5) ◽  
pp. 1074-1081 ◽  
Author(s):  
S. R. Moghe
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Mathematical Model ◽  
Fiber Orientation ◽  
Probability Distribution Function ◽  
Tensile Modulus ◽  
Short Fiber ◽  
Simple Mathematical Model ◽  
Short Fibers ◽  
Rubber Compounds

Abstract Based upon a simple mathematical model, the directional properties of elastomers mixed with uniaxially oriented short fibers are predicted. The model takes into account a probability distribution function for a number of fibers in any direction during fiber orientation. Theory is compared with experimental data on tensile modulus for a number of rubber compounds and fibers with good success. A possibility of characterizing calendering and extrusion processes in view of orientation and mechanical properties is discussed.

INFLUENCE OF INFRARED RADIATION ON THE HUMAN SKIN TEMPERATURE — EXPERIMENTAL DATA AND MODELING

2013 ◽  
Vol 13 (03) ◽  
pp. 1350025 ◽  
Author(s):  
BOGUSŁAW WIȨCEK ◽  
MARIA STŖAKOWSKA ◽  
GILBERT DE MEY ◽  
STANISŁAW MARZEC ◽  
WACŁAW WITTCHEN
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Temperature Rise ◽  
Infrared Radiation ◽  
Radiation Source ◽  
Blood Perfusion ◽  
Simple Mathematical Model ◽  
Noninvasive Technique ◽  
Set Up ◽  
Two Parameters

The temperature rise of the hand palm has been measured with infrared thermography under the influence of an external infrared radiation source. The temperature rises could be very well fitted to exponential function, so that the experimental data could be summarized with just two parameters: amplitude and time constant. A simple mathematical model has been set up to explain the experimentally observed phenomena. It was found that the blood perfusion is essential to explain the results. From our measurements, which is essentially a noninvasive technique, several parameters could be found, the numerical values of which, agree with data found in the literature.

The substantiation of the formalized estimation of effectiveness of technological and production systems

2018 ◽  
Vol 15 (1) ◽  
pp. 169-181
Author(s):  
M. I. Sidorov ◽  
М. Е. Stavrovsky ◽  
V. V. Irogov ◽  
E. S. Yurtsev
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Production Systems ◽  
Van Der Pol

Using the example of van der Pol developed a mathematical model of frictional self-oscillations in topochemically kinetics. Marked qualitative correspondence of the results of calculation performed using the experimental data of researchers.

scholarly journals Exhaust Noise Reduction by Application of Expanded Collecting System in Pneumatic Tools and Machines

Energies ◽  
2021 ◽  
Vol 14 (6) ◽  
pp. 1592
Author(s):  
Dominik Gryboś ◽  
Jacek S. Leszczyński ◽  
Dorota Czopek ◽  
Jerzy Wiciak
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Noise Reduction ◽  
Sound Pressure ◽  
Acoustic Pressure ◽  
Pressure Level ◽  
Computational Results ◽  
Noise Measurements ◽  
Exhaust Noise ◽  
Collecting System

In this paper, we demonstrate how to reduce the noise level of expanded air from pneumatic tools. Instead of a muffler, we propose the expanded collecting system, where the air expands through the pneumatic tube and expansion collector. We have elaborated a mathematical model which illustrates the dynamics of the air flow, as well as the acoustic pressure at the end of the tube. The computational results were compared with experimental data to check the air dynamics and sound pressure. Moreover, the study presents the methodology of noise measurement generated in a pneumatic screwdriver in a quiet back room and on a window-fitting stand in a production hall. In addition, we have performed noise measurements for the pneumatic screwdriver and the pneumatic screwdriver on an industrial scale. These measurements prove the noise reduction of the pneumatic tools when the expanded collecting system is used. When the expanded collecting system was applied to the screwdriver, the measured Sound Pressure Level (SPL) decreased from 87 to 80 dB(A).

Modal Analysis of the Axial Compressor Blade: Advanced Time-Dependent Electronic Interferometry and Finite Element Method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Mykhaylo Tkach ◽  
Serhii Morhun ◽  
Yuri Zolotoy ◽  
Irina Zhuk
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Finite Element ◽  
High Reliability ◽  
Axial Compressor ◽  
Time Dependent ◽  
Experimental Setup ◽  
Vibration Modes ◽  
Compressor Blades ◽  
Isoparametric Finite Element

AbstractNatural frequencies and vibration modes of axial compressor blades are investigated. A refined mathematical model based on the usage of an eight-nodal curvilinear isoparametric finite element was applied. The verification of the model is carried out by finding the frequencies and vibration modes of a smooth cylindrical shell and comparing them with experimental data. A high-precision experimental setup based on an advanced method of time-dependent electronic interferometry was developed for this aim. Thus, the objective of the study is to verify the adequacy of the refined mathematical model by means of the advanced time-dependent electronic interferometry experimental method. The divergence of the results of frequency measurements between numerical calculations and experimental data does not exceed 5 % that indicates the adequacy and high reliability of the developed mathematical model. The developed mathematical model and experimental setup can be used later in the study of blades with more complex geometric and strength characteristics or in cases when the real boundary conditions or mechanical characteristics of material are uncertain.

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