Calibration of Infrared Gas Analyzers for CO2: Mathematical Model and Experimental Results

1971 ◽  
Vol 25 (2) ◽  
pp. 191-195
Author(s):  
I. A. Tamas ◽  
N. S. Urquhart ◽  
J. L. Ozbun
Keyword(s):  
Mathematical Model ◽  
Large Volume ◽  
Close Agreement ◽  
Computer Processing ◽  
Experimental Results ◽  
Response Curves ◽  
Theoretical Results

Response curves of CO2 were determined for Beckman ir gas analyzers (models 215 and 315A) by adding small, measured amounts of CO2 to a large volume of circulating N2. We deduce a mathematical model for the response curves, estimate their parameters from our data, and comment on the role of this model in computer processing of masses of data resulting from such instruments. Close agreement between our experimental and theoretical results suggest that our model and approach should apply to similar instruments.

Kinematic and Dynamic Determinations of the Movement of the Car when Moving between Cones

2020 ◽  
Vol 896 ◽  
pp. 163-168
Author(s):  
Robert Emil Simniceanu ◽  
Dumitru Neagoe ◽  
Mario Trotea ◽  
Augustin Constantinescu
Keyword(s):  
Mathematical Model ◽  
Mechanical Model ◽  
Experimental Results ◽  
Dynamic Parameters ◽  
Proposed Model ◽  
Theoretical Results

In this paper a mechanical model of the car and the related mathematical model are presented. Based on this mathematical model, some kinematic and dynamic parameters of the car are determined when moving between milestones. These theoretical results are compared with the experimental results to validate the proposed model.

Natural Frequencies of Vibration of Fixed-Fixed Sandwich Beams

1961 ◽  
Vol 28 (3) ◽  
pp. 367-371 ◽  
Author(s):  
M. E. Raville ◽  
En-Shiuh Ueng ◽  
Ming-Min Lei
Keyword(s):  
Infinite Series ◽  
Close Agreement ◽  
Natural Frequencies ◽  
Experimental Results ◽  
Lagrangian Multiplier ◽  
Sandwich Beams ◽  
Different Dimensions ◽  
Lagrangian Multiplier Method ◽  
Theoretical Results

In this paper, the problem of the determination of the natural frequencies of vibration of fixed-fixed sandwich beams is analyzed by an energy approach in which the Lagrangian multiplier method is utilized to satisfy the boundary conditions of the problem. The solution is in the form of a rapidly converging infinite series. Experimental results are given for 21 sandwich beams having different dimensions and physical constants. Corresponding theoretical results, obtained by means of a digital computer, are in close agreement with the experimental results.

Theoretical and Experimental Researches Regarding the Influence of the Suspension Car Stiffness on the Dynamic Behavior of Vehicles

2016 ◽  
Vol 822 ◽  
pp. 36-43
Author(s):  
Dumitru Neagoe ◽  
Dumitru Bolcu ◽  
Loreta Simniceanu ◽  
Mario Trotea
Keyword(s):  
Mathematical Model ◽  
Dynamic System ◽  
Dynamic Behavior ◽  
Experimental Research ◽  
Experimental Results ◽  
Negative Effects ◽  
Experimental Researches ◽  
The Mathematical Model ◽  
Theoretical Results

In this paper the authors present the results of theoretical and experimental research in order to optimize suspension rigidity in case of Daewoo Nubira vehicle. The paper presents the mathematical model obtained by assimilating car with a dynamic system with 5 rigid solids with elastic and viscous linking between them. Theoretical results obtained based on this model and the experimental results are presented, and it is presented a solution to optimize suspension in order to remove the negative effects observed driving on gravel runways or damaged runaways. Theoretical results, compared with the experimental ones, allow us to say that it is possible to optimize suspension by analyzing specific parameters equivalent mathematical model.

Passive and Active Vibrations Allow Self-Organization in Large-Scale Electromechanical Systems

2016 ◽  
Vol 26 (07) ◽  
pp. 1650123 ◽  
Author(s):  
Arturo Buscarino ◽  
Carlo Famoso Luigi Fortuna ◽  
Mattia Frasca
Keyword(s):  
Mathematical Model ◽  
Large Scale ◽  
Experimental Results ◽  
Self Organization ◽  
Electromechanical Systems ◽  
Large Scale Systems ◽  
Control Signals ◽  
Effects Of Feedback ◽  
The Mathematical Model

In this paper, the role of passive and active vibrations for the control of nonlinear large-scale electromechanical systems is investigated. The mathematical model of the system is discussed and detailed experimental results are shown in order to prove that coupling the effects of feedback and vibrations elicited by proper control signals makes possible to regularize imperfect uncertain large-scale systems.

scholarly journals A Quasi 2D Method for the Rotordynamic Analysis of Centered Labyrinth Liquid Seals

1998 ◽  
Author(s):  
Mihai Arghir ◽  
Jean Frene
Keyword(s):  
Mathematical Model ◽  
Coordinate Transformation ◽  
Present Method ◽  
Dynamic Regime ◽  
Experimental Results ◽  
Test Case ◽  
First Order ◽  
Simplifying Assumptions ◽  
Theoretical Results ◽  
Dynamic Perturbation

The work presents a method for analyzing the dynamic regime of labyrinth liquid seals. By using the traditional simplifying assumptions for the centered seal (sinusoidal, harmonically varying, first order dynamic perturbation), the approach can be addressed as “quasi” 2D. A numerical coordinate transformation capable to treat displacement perturbations is introduced. The first order mathematical model is then deduced following the same steps as in a previously published work (Arghir et Frêne, 1997b). From this standpoint, the present method can be regarded as an extension of the above mentioned approach which was able to deal only with stator-grooved seals. The method is validated by comparisons with Nordmann and Dietzen’s (1988) theoretical results for a seal with grooves on both stator and rotor and with the experimental results of Staubli’s (1993) test case concerning a general seal.

Research on Grasping Force of New Type Pneumatic Flexible Finger

2013 ◽  
Vol 401-403 ◽  
pp. 245-249
Author(s):  
Yun Wei Zhao ◽  
De Xu Geng ◽  
Xiao Min Liu ◽  
Jin Tao Zhang
Keyword(s):  
Mathematical Model ◽  
Modular Design ◽  
Normal Pressure ◽  
Experimental Results ◽  
Flexible Joints ◽  
Grasping Force ◽  
New Type ◽  
The Mathematical Model ◽  
The Relationship ◽  
Theoretical Results

This paper develops a new type of flexible finger employing the pneumatic flexible joints base on the modular design concept. In this work, the mathematical model of the grasping force of the flexible finger is derived and analyzed on the relationship between the air pressure and the grasping force. Further the grasping force experiments of finger using dynamometer and acquire the normal pressure of the finger with different combinations ventilation of joints are conducted, Also, the experimental results are compared with the theoretical results, which confirm the validity of the presented model.

The Impact of Light Polarisation on Light Field of Scenes with Multiple Reflections

2020 ◽  
pp. 108-115 ◽  
Author(s):  
Vladimir P. Budak ◽  
Anton V. Grimaylo
Keyword(s):  
Mathematical Model ◽  
Light Field ◽  
Global Illumination ◽  
Multiple Reflections ◽  
Software Environment ◽  
The Monte Carlo Method ◽  
Mueller Matrices ◽  
Volume Integration ◽  
The Impact

The article describes the role of polarisation in calculation of multiple reflections. A mathematical model of multiple reflections based on the Stokes vector for beam description and Mueller matrices for description of surface properties is presented. On the basis of this model, the global illumination equation is generalised for the polarisation case and is resolved into volume integration. This allows us to obtain an expression for the Monte Carlo method local estimates and to use them for evaluation of light distribution in the scene with consideration of polarisation. The obtained mathematical model was implemented in the software environment using the example of a scene with its surfaces having both diffuse and regular components of reflection. The results presented in the article show that the calculation difference may reach 30 % when polarisation is taken into consideration as compared to standard modelling.

Transport and fluctuations in nonlinear-dissipative systems: role of interparticle collisions

1999 ◽  
Vol 4 ◽  
pp. 31-86 ◽  
Author(s):  
R. Katilius ◽  
A. Matulionis ◽  
R. Raguotis ◽  
I. Matulionienė
Keyword(s):  
Electric Fields ◽  
Carrier Density ◽  
Experimental Results ◽  
Dissipative Systems ◽  
Doped Semiconductors ◽  
Electron Diffusion ◽  
Electron Collisions ◽  
Electric Noise ◽  
Diffusion Phenomena

The goal of the paper is to overview contemporary theoretical and experimental research of the microwave electric noise and fluctuations of hot carriers in semiconductors, revealing sensitivity of the noise spectra to non-linearity in the applied electric field strength and, especially, in the carrier density. During the last years, investigation of electronic noise and electron diffusion phenomena in doped semiconductors was in a rapid progress. By combining analytic and Monte Carlo methods as well as the available experimental results on noise, it became possible to obtain the electron diffusion coefficients in the range of electric fields where inter-electron collisions are important and Price’s relation is not necessarily valid. Correspondingly, a special attention to the role of inter-electron collisions and of the non-linearity in the carrier density while shaping electric noise and diffusion phenomena in the non-equilibrium states will be paid. The basic and up-to-date information will be presented on methods and advances in this contemporary field - the field in which methods of non-linear analytic and computational analysis are indispensable while seeking coherent understanding and interpretation of experimental results.

Clustering-Triggered Efficient Room Temperature Phosphorescence from Nonconventional Luminophores

2019 ◽  
Author(s):  
Shuyuan Zheng ◽  
Taiping Hu ◽  
Xin Bin ◽  
Yunzhong Wang ◽  
Yuanping Yi ◽  
...  
Keyword(s):  
Room Temperature ◽  
High Efficiency ◽  
Spin Orbit Coupling ◽  
Design Rationale ◽  
Emission Mechanism ◽  
Room Temperature Phosphorescence ◽  
Electronic Interactions ◽  
Energy Gaps ◽  
Theoretical Results

Pure organic room temperature phosphorescence (RTP) and luminescence from nonconventional luminophores have gained increasing attention. However, it remains challenging to achieve efficient RTP from unorthodox luminophores, on account of the unsophisticated understanding of the emission mechanism. Here we propose a strategy to realize efficient RTP in nonconventional luminophores through incorporation of lone pairs together with clustering and effective electronic interactions. The former promotes spin-orbit coupling and boost the consequent intersystem crossing, whereas the latter narrows energy gaps and stabilizes the triplets, thus synergistically affording remarkable RTP. Experimental and theoretical results of urea and its derivatives verify the design rationale. Remarkably, RTP from thiourea solids with unprecedentedly high efficiency of up to 24.5% is obtained. Further control experiments testify the crucial role of through-space delocalization on the emission. These results would spur the future fabrication of nonconventional phosphors, and moreover should advance understanding of the underlying emission mechanism.<br>

scholarly journals On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
N. H. Sweilam ◽  
S. M. Al-Mekhlafi ◽  
A. O. Albalawi ◽  
D. Baleanu
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Weighted Average ◽  
Necessary Optimality Conditions ◽  
Numerical Approach ◽  
Population Number ◽  
Infected People ◽  
The Stability ◽  
Novel Coronavirus ◽  
Theoretical Results

Abstract In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grünwald–Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.

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