Thermoelasticity of Anisotropic Generally Laminated Slabs Subject to Spatially Periodic Thermal Loads

1975 ◽  
Vol 42 (2) ◽  
pp. 341-346 ◽  
Author(s):  
J. Padovan
Keyword(s):  
Numerical Experiments ◽  
Differential Forms ◽  
Laminated Plates ◽  
Series Expansions ◽  
Thermal Loads ◽  
Material Anisotropy ◽  
Spatially Periodic ◽  
Conduction Theory ◽  
The Given ◽  
Stated Problem

Based on 3-D thermoelasticity theory, the effects of mechanical and thermal material anisotropy on the local stationary fields of generally laminated plates are investigated. In particular, to model the stated problem, each individual lamina of the slab is considered to be composed of mechanically and thermally possibly fully anisotropic materials whose fields satisfy 3-D elasticity and conduction theory. Using complex series expansions, together with the properties of complex adjoint differential forms, a 3-D solution of the given model is obtained. Its generality is such that plates consisting of any number of distinct fully anisotropic lamina subject to arbitrary spatially periodic external and internal mechanical and thermal loads can be handled. In terms of the model and its solution, the results of several numerical experiments which emphasize the effects of material anisotropy on the governing fields of symmetric, alternating, and shingle-type laminates are reported.

Thermoelasticity of Cylindrically Anisotropic Generally Laminated Cylinders

1976 ◽  
Vol 43 (1) ◽  
pp. 124-130 ◽  
Author(s):  
J. Padovan
Keyword(s):  
Numerical Experiments ◽  
Differential Operators ◽  
Integral Transforms ◽  
Fourier Integral ◽  
Material Anisotropy ◽  
Complex Power ◽  
Different Types ◽  
Power Series Expansions ◽  
Cylindrically Anisotropic ◽  
Stated Problem

The effects of cylindrically curvilinear mechanical and thermal material anisotropy on the stationary thermoelastic fields of generally laminated cylinders are studied. To model the stated problem, each individual ply of the cylinder is considered to be composed of both mechanically and thermally cylindrically anisotropic media whose governing fields satisfy the 3-D elasticity and conduction equations. Based on finite and infinite Fourier integral transforms together with the use of complex adjoint differential operators and complex power series expansions, a nonhomogeneous pseudo-stiffness procedure is used to develop the general solution form for the stated problem. Through the use of the model and its solution, several numerical experiments are presented which emphasize the significant effects of cylindrical material anisotropy on the governing fields of several different types of laminate configuration.

scholarly journals Computer Modeling of Aerosol Emissions Spread in the Atmosphere

2019 ◽  
Vol 97 ◽  
pp. 05023 ◽  
Author(s):  
Daler Sharipov ◽  
Sharofiddin Aynakulov ◽  
Otabek Khafizov
Keyword(s):  
Boundary Layer ◽  
Mathematical Model ◽  
Atmospheric Boundary Layer ◽  
Computer Modeling ◽  
Numerical Experiments ◽  
Climatic Factors ◽  
Numerical Algorithms ◽  
Aerosol Emissions ◽  
The Given ◽  
And Diffusion

The paper deals with the development of mathematical model and numerical algorithms for solving the problem of transfer and diffusion of aerosol emissions in the atmospheric boundary layer. The model takes into account several significant parameters such as terrain relief, characteristics of underlying surface and weather-climatic factors. A series of numerical experiments were conducted based on the given model. The obtained results presented here show how these factors affect aerosol emissions spread in the atmosphere.

Multidimensional regular C-fraction with independent variables corresponding to formal multiple power series

2019 ◽  
Vol 150 (4) ◽  
pp. 1853-1870 ◽  
Author(s):  
R. I. Dmytryshyn
Keyword(s):  
Power Series ◽  
Continued Fractions ◽  
Numerical Experiments ◽  
The Other ◽  
Independent Variables ◽  
Classical Algorithm ◽  
Multiple Power ◽  
The One ◽  
The Given ◽  
Multiple Power Series

AbstractIn the paper the correspondence between a formal multiple power series and a special type of branched continued fractions, the so-called ‘multidimensional regular C-fractions with independent variables’ is analysed providing with an algorithm based upon the classical algorithm and that enables us to compute from the coefficients of the given formal multiple power series, the coefficients of the corresponding multidimensional regular C-fraction with independent variables. A few numerical experiments show, on the one hand, the efficiency of the proposed algorithm and, on the other, the power and feasibility of the method in order to numerically approximate certain multivariable functions from their formal multiple power series.

Effect of Nozzle Junction and Equipment Stiffness on Absorption of Pipe Thermal Loads

2015 ◽  
Vol 138 (2) ◽  
Author(s):  
Kedar A. Damle ◽  
Pratik S. Gharat ◽  
Rudolf Neufeld ◽  
Wilhelm Peters
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Pressure Range ◽  
Nozzle Diameter ◽  
Combined Effects ◽  
Thermal Loads ◽  
Actual System ◽  
Foundation Design ◽  
Local Loads ◽  
The Given

As an industry norm, the nozzle local loads are considered to be local and are not considered in foundation design. Presently, this norm is under debate. One opinion is some percent of these loads are to be considered to be transferred to the foundation. The horizontal forces on the foundation are more critical than vertical forces. Attempt has been made to understand the system and create a model which will represent the system to a good approximation. A mathematical model is developed to demonstrate the actual system. It is a stiffness system consisting of equipment, nozzle junction, and connected piping. The connected pipes are heated sequentially to generate nozzle loads in axial and out plane directions. Steady-state thermal loads are calculated for the given system stiffness. Governing parameters are identified and altered to note the effect. The governing parameters identified are equipment diameter (D), nozzle location on equipment (x), and nozzle diameter (d). The effect is studied for pressure range (20–120 bar) and temperature (100–400 °C). The results of percentage loads transferred with respect to the governing parameters are plotted. It is observed that nozzle loads in axial directions are transferred to the foundation almost 100%, whereas out plane loads are absorbed by the system to a greater extent. Further study is required to investigate combined effects of all such nozzle loads for single equipment. The results may be refined for different materials and effect of nozzle reinforcement.

Constrained Control of a Rational Interpolant

2011 ◽  
Vol 225-226 ◽  
pp. 170-173
Author(s):  
Meng Tian ◽  
Hong Ling Geng
Keyword(s):  
Numerical Experiments ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Explicit Representation ◽  
Constrained Control ◽  
Data Set ◽  
Cubic Spline Interpolation ◽  
The Given

In this paper, a rational cubic spline interpolation has been constructed using the rational cubic spline with quadratic denominator and the rational cubic spline based on function values. The spline can preserve monotonicity of the data set. The spline not only belongs to in the interpolating interval, but could also be used to constrain the shape of the interpolant curve such as to force it to be the given region. The explicit representation is easily constructed, and numerical experiments indicate that the method produces visually pleasing curves.

scholarly journals Selecting Pedagogical Protocols Using SOM

2006 ◽  
Vol 5 (1) ◽  
Author(s):  
Fernando Salgueiro ◽  
Guido Costa ◽  
Fernando Lage ◽  
Zulma Cataldi ◽  
Ramón García-Martínez
Keyword(s):  
Current Model ◽  
Main Idea ◽  
Initial Population ◽  
Computer Engineering ◽  
Human Tutor ◽  
Tutorial System ◽  
Epistemological Conception ◽  
The Given ◽  
Stated Problem ◽  
Selection Of

During the first semesters of Computer Engineering the amount of human tutors is insufficient: the students/tutors ratio is very high and there is a great difference in the acquired knowledge and backgrounds of the students. The main idea of this paper is to describe a system that could emulate the human tutor and provide to the student with a degree of flexibility for the selection of the most adequate tutorial type. This could be a feasible solution to the stated problem. But a tutorial system should not only emulate the human tutor but besides it should be designed from an epistemological conception of what teaching Basic Programming means specially in an Engineering course due to the profile and identity of the future engineer. The stated solution implement a series of artificial neural networks to determine if there is a relationship between the given initial population of students learning predilections and the different tutoring types. A series of experiences were carried out to validate the current model.

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