scholarly journals Quasi-Newtonian methods for modeling of plan curve

2021 ◽  
pp. 62-67
Author(s):  
Alla Nesterenko ◽  
Oleksandr Duchenko
Keyword(s):  
Numerical Modeling ◽  
Geometric Modeling ◽  
Input Data ◽  
Extreme Points ◽  
Distribution Coefficients ◽  
Plane Curves ◽  
Computer Implementation ◽  
Nonlinear Integral Equations ◽  
Modeling Methods ◽  
Curvature Distribution

The paper is devoted to the methods of geometric modeling of plane curves given in the natural parameterization. The paper considers numerical modeling methods that make it possible to find the equation of curvature of the desired curve for different cases of the input data. The unknown curvature distribution coefficients of the required curve are determined by solving a system of nonlinear integral equations. Various numerical methods are considered to solve this nonlinear system. The results of computer implementation of the proposed methods for modeling two curvilinear contours with different initial data are presented. For the first curve, the input data are the coordinates of three points, the angles of inclination of the tangents at the extreme points and the linear law of curvature distribution. The second example considers an S-shaped curve with a quadratic law of curvature distributi.

scholarly journals Supplemental Material: Modeling glacier extents and equilibrium line altitudes in the Rwenzori Mountains, Uganda, over the last 31,000 yr

2020 ◽  
Author(s):  
Alice Doughty ◽  
et al.
Keyword(s):  
East Africa ◽  
Input Data ◽  
Equilibrium Line ◽  
Material Modeling ◽  
Rwenzori Mountains ◽  
Modeling Methods

Explanation of the modeling methods, climate input data, and a comparison between glacierized sites in East Africa<br>

scholarly journals Investigation of Effective Mechanical Characteristics of Nanomodified Carbon-Epoxide Composite by Numerical and Analytical Methods

2021 ◽  
Vol 12 (5) ◽  
pp. 535-541
Author(s):  
M.O. Kaptakov
Keyword(s):  
Mechanical Properties ◽  
Numerical Modeling ◽  
Fracture Surface ◽  
Mechanical Characteristics ◽  
Modeling Methods ◽  
Fullerene Soot ◽  
The Matrix ◽  
Numerical And Analytical Methods ◽  
Composite Samples

In this work, the mechanical properties of composite samples prepared using a conventional and nanomodified matrix were studied. The thickness of the monolayers in the samples was 0,2 μm. It was found in experiments, that the addition of fullerene soot as a nanomodifierled to an increase in the mechanical properties of the samples along the direction of reinforcement. At the same time, an improvement in the quality of the contact of the matrix with the fibers in the samples with the nanomodifier was observed: on the fracture surface, the nanomodified matrix envelops the fibers, while the usual matrix completely exfoliates. The obtained effects of changing the strength of composites can be associated, among other things, with a change in the level of residual stresses arising in composites during nanomodification. Analytical and numerical modeling methods are used to explain these effects.

Measurement of ultrasonic scattering attenuation in austenitic stainless steel welds: Realistic input data for NDT numerical modeling

Ultrasonics ◽  
2014 ◽  
Vol 54 (7) ◽  
pp. 1729-1736 ◽  
Author(s):  
Marie-Aude Ploix ◽  
Philippe Guy ◽  
Bertrand Chassignole ◽  
Joseph Moysan ◽  
Gilles Corneloup ◽  
...  
Keyword(s):  
Stainless Steel ◽  
Numerical Modeling ◽  
Austenitic Stainless Steel ◽  
Input Data ◽  
Ultrasonic Scattering ◽  
Scattering Attenuation ◽  
Steel Welds

APPLICATION OF NUMERICAL MODELING METHODS FOR SAFETY ASSESSMENT AT PUBLIC FACILITIES

2020 ◽  
Vol 13 (3) ◽  
pp. 30-42
Author(s):  
Alla Zvyaginceva ◽  
Svetlana Sazonova ◽  
V. Kul'neva
Keyword(s):  
Mathematical Model ◽  
Numerical Modeling ◽  
Safety Assessment ◽  
Service Sector ◽  
Partial Density ◽  
Fire Hazards ◽  
Public Facilities ◽  
Modeling Methods ◽  
Human Flow ◽  
Fire Design

The assessment of safe evacuation of people in case of fires at social facilities in the service sector was carried out on the basis of numerical modeling methods. The time of safe evacuation of people from the object is regulated on the basis of a basic mathematical model for monitoring fire hazards for a specific social object. The dependences of temperature on the duration of the fire, partial density of O2, optical density of smoke, partial density of CO2 and CO, partial density of HCl on the duration of the fire were established with the implementation of the Fogard software package using a simplified analytical model of human flow. On the basis of the developed mathematical model of the development of a fire, design solutions are proposed that provide a secure dispatch of the population from the facility.

Geometric Modeling Based on Class and Shape Function Transformation Technique for Hypersonic Vehicles

2016 ◽  
Vol 17 (3-4) ◽  
pp. 149-158
Author(s):  
Yanbin Liu ◽  
Bing Hua ◽  
Dibo Xiao
Keyword(s):  
Geometric Modeling ◽  
Shape Function ◽  
Hypersonic Vehicle ◽  
Hypersonic Vehicles ◽  
Dynamic Features ◽  
Aerodynamic Forces ◽  
Transformation Technique ◽  
Modeling Methods ◽  
Function Transformation ◽  
Simulation Results

AbstractThis paper presents the geometric modeling methods based on the class and shape function transformation (CST) technique for the hypersonic vehicle. First, the typical waverider configuration is considered to be the basic shape for the hypersonic vehicle, and then the CST method is applied to describe and build the improved geometric shape. On this basis, the aerodynamic forces and thrust are estimated according to the shock wave and Rayleigh flow theory. Furthermore, the model dynamic features using the CST method are analyzed in comparison to the basic shape. Finally, the simulation results show the effectiveness of this method for the hypersonic vehicle.

Sign in / Sign up

Export Citation Format

Share Document