scholarly journals A solution to the inverse problem of mathematical modeling of structural mechanics for beam elements

2016 ◽  
Author(s):  
A. A. Purgin
Keyword(s):  
Mathematical Modeling ◽  
Inverse Problem ◽  
Structural Mechanics ◽  
Beam Elements

Decision Choice Optimization With Genetic Algorithm in Communication Networks

2021 ◽  
pp. 328-343
Author(s):  
Driss Ait Omar ◽  
Mohamed El Amrani ◽  
Hamid Garmani ◽  
Mohamed Baslam ◽  
Mohamed Fakir
Keyword(s):  
Mathematical Modeling ◽  
Genetic Algorithm ◽  
Inverse Problem ◽  
Decision Support ◽  
Communication Networks ◽  
Service Providers ◽  
Telecommunication Networks ◽  
Essential Tool ◽  
Decision Choice

Optimization is an essential tool in the field of decision support. In this chapter, the authors study an inverse problem applied in the telecommunication networks. Indeed, in the telecommunication networks, service providers have subscription offers to customers. Since competition is strong in this sector, most of these advertising offerings, totally or partially ambiguous, are prepared to attract the attention of consumers. For this reason, customers face problems in making decisions about the choice of the operators that gives them a better report price/QoS. Mathematical modeling of this decision support problem led to the resolution of an inverse problem. More precisely, the inverse problem is to find the function of the QoS real knowing the QoS theoretical or advertising. This model will help customers who seek to know the degree of sincerity of their operators, and it is an opportunity for operators who want to maintain their resources so that they gain the trust of customers.

scholarly journals A space structural mechanics model of silicene

2020 ◽  
Vol 234 (1-2) ◽  
pp. 3-10
Author(s):  
Mohsen Motamedi
Keyword(s):  
Natural Frequencies ◽  
Strain Curve ◽  
Structural Mechanics ◽  
Dynamics Simulation ◽  
Mode Shapes ◽  
Two Dimensional ◽  
Stress Strain Curve ◽  
Beam Elements ◽  
Mechanics Model ◽  
Good Agreement

The two-dimensional nanostructures such as graphene, silicene, germanene, and stanene have attracted a lot of attention in recent years. Many studies have been done on graphene, but other two-dimensional structures have not yet been studied extensively. In this work, a molecular dynamics simulation of silicene was done and stress–strain curve of silicene was obtained. Then, the mechanical properties of silicene were investigated using the proposed structural molecular mechanics method. First, using the relations governing the force field and the Lifson–Wershel potential function and structural mechanics relations, the coefficients for the BEAM elements was determined, and a structural mechanics model for silicene was proposed. Then, a silicene sheet with 65 Å × 65 Å was modeled, and Young’s modulus of silicene was obtained. In addition, the natural frequencies and mode shapes of silicene were calculated using finite element method. The results are in good agreement with reports by other papers.

Customers’ Perception Towards Services of Telecommunications Operators

2017 ◽  
Vol 6 (3) ◽  
pp. 146
Author(s):  
Driss Ait Omar ◽  
Mohamed Baslam ◽  
Mourad Nachaoui ◽  
And Mohamed Fakir
Keyword(s):  
Mathematical Modeling ◽  
Inverse Problem ◽  
Quality Of Service ◽  
Decision Support ◽  
Evolutionary Algorithms ◽  
Optimization Problem ◽  
The Real ◽  
The Difference ◽  
Telecommunications Market

<p>Currently the operators in the telecommunications market present offers of subscription to the consumers,and given that competition is strong in this area, most of these advertising offers are prepared to attract and / or keep customers.</p><p>For this reason, customers face problems in choosing operators that meet their needs in terms of price, quality of service (QoS), etc..., while taking into account the margin between what is advertising and what is real. Therefore, we are led to solve a problem of decision support. Mathematical modeling of this problem led to the solution of an inverse problem. Specifi-cally, the inverse problem is to find the real Quality of Service (QoS) function knowing the theoretical QoS. To solve this problem we have reformulated in an optimization problem of minimizing the difference between the real quality of service (QoS) and theoretical (QoS). This model will help customers who seek to know the degree of sincerity of Their operators, as well as it is an opportunity for operators who want to maintain their resources so that they gain the trust of customers. The resulting optimization problem is solved using evolutionary algorithms. The numerical results showed the reliability and credibility of our inverse model and the performance and effectiveness of our approach.</p>

A NUMERICAL INVESTIGATION ON THE FREE VIBRATION OF CARBON NANOPEAPODS AS VARIABLE FREQUENCY BEAM RESONATORS

2013 ◽  
Vol 27 (21) ◽  
pp. 1350147
Author(s):  
R. D. FIROUZ-ABADI ◽  
S. M. ALAVI
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Structural Mechanics ◽  
Free Vibrations ◽  
Variable Frequency ◽  
Beam Model ◽  
Beam Resonator ◽  
Beam Elements ◽  
Mechanics Model ◽  
Resonance Frequencies

This study aims at investigation of the resonance frequencies of carbon nanopeapods constructed by a single wall carbon nanotube and encapsulated buckyball molecules ( C 60). A nanopeapod can be used as a nanoscale variable frequency beam resonator according to the number and positions of the encapsulated fullerenes. Using the molecular structural mechanics method the covalence bonds are simulated by equivalent beam elements and the van der Waal interactions between the buckyballs and nanotube are modeled as linear springs. Also, an equivalent beam model is proposed for the nanopeapod with sectional properties which are obtained by the molecular structural mechanics model. The beam-like modes of free vibrations are obtained using both models and the effect of position and number of buckyballs on the resonance frequencies are investigated.

scholarly journals The mathematical modeling of magnetic systems with rectangular structure for different experiments

2021 ◽  
Author(s):  
R.V. Polyakova ◽  
E.E. Perepyolkin ◽  
A.D. Kovalenko ◽  
A.A. Tarelkin
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Inverse Problem ◽  
Numerical Modeling ◽  
Magnetic Systems ◽  
Direct Problems ◽  
The Magnetic Field ◽  
Inverse Problem Of Magnetostatics ◽  
Optimal Construction ◽  
Design Construction

Design, construction and operation of the magnetic systems of some electrophysical setups require a preliminary mathematical modeling as well as a constant maintenance of mathematical modeling when debugging and operating the setups. While calculating the fields of the mentioned magnetic systems (on the base of solving a number of the direct problems of magnetostatics), we are concerned with the inverse problem of magnetostatics, namely, an optimal construction of the current elements and ferromagnetic yoke was found resulting in the expected distribution of the magnetic field. This work discusses the results on the numerical modeling of the distributing magnetic field for some modifications of the spectrometric magnet SP-94, SP-40 and the magnet of solenoid type, weach used in some experimental setups.

scholarly journals Mathematical Modeling of Thermal Resistances of Mold Flux and Air Gap in Continuous Casting Mold Based on an Inverse Problem

2016 ◽  
Vol 56 (5) ◽  
pp. 803-811 ◽  
Author(s):  
Xudong Wang ◽  
Lingwei Kong ◽  
Fengming Du ◽  
Man Yao ◽  
Xiaobing Zhang ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Inverse Problem ◽  
Continuous Casting ◽  
Mold Flux ◽  
Air Gap ◽  
Continuous Casting Mold ◽  
Casting Mold

Numerics of acoustical 2D tomography based on the conservation laws

2020 ◽  
Vol 28 (2) ◽  
pp. 287-297 ◽  
Author(s):  
Sergey I. Kabanikhin ◽  
Dmitriy V. Klyuchinskiy ◽  
Nikita S. Novikov ◽  
Maxim A. Shishlenin
Keyword(s):  
Mathematical Modeling ◽  
Inverse Problem ◽  
Conservation Laws ◽  
Speed Of Sound ◽  
Gradient Method ◽  
Acoustic Waves ◽  
Order System ◽  
First Order ◽  
Waves Propagation ◽  
Gradient Of The Functional

AbstractWe investigate the mathematical modeling of the 2D acoustic waves propagation, based on the conservation laws. The hyperbolic first-order system of partial differential equations is considered and solved by the method of S. K. Godunov. The inverse problem of reconstructing the density and the speed of sound of the medium is considered. We apply the gradient method to reconstruct the parameters of the medium. The gradient of the functional is obtained. Numerical results are presented.

Decision Choice Optimization With Genetic Algorithm in Communication Networks

2020 ◽  
pp. 194-209
Author(s):  
Driss Ait Omar ◽  
Mohamed El Amrani ◽  
Hamid Garmani ◽  
Mohamed Baslam ◽  
Mohamed Fakir
Keyword(s):  
Mathematical Modeling ◽  
Genetic Algorithm ◽  
Inverse Problem ◽  
Decision Support ◽  
Communication Networks ◽  
Service Providers ◽  
Telecommunication Networks ◽  
Essential Tool ◽  
Decision Choice

Optimization is an essential tool in the field of decision support. In this chapter, the authors study an inverse problem applied in the telecommunication networks. Indeed, in the telecommunication networks, service providers have subscription offers to customers. Since competition is strong in this sector, most of these advertising offerings, totally or partially ambiguous, are prepared to attract the attention of consumers. For this reason, customers face problems in making decisions about the choice of the operators that gives them a better report price/QoS. Mathematical modeling of this decision support problem led to the resolution of an inverse problem. More precisely, the inverse problem is to find the function of the QoS real knowing the QoS theoretical or advertising. This model will help customers who seek to know the degree of sincerity of their operators, and it is an opportunity for operators who want to maintain their resources so that they gain the trust of customers.

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