Formulation and development of mathematical models for engineering problems: an experience on the integration of theory and the laboratory

2002 ◽  
Author(s):  
M.F. Giorgetti
Keyword(s):  
Mathematical Models ◽  
Engineering Problems

scholarly journals New Challenges Arising in Engineering Problems with Fractional and Integer Order

2021 ◽  
Vol 5 (2) ◽  
pp. 35
Author(s):  
Haci Mehmet Baskonus ◽  
Luis Manuel Sánchez Ruiz ◽  
Armando Ciancio
Keyword(s):  
Mathematical Models ◽  
Real World ◽  
Integer Order ◽  
Engineering Problems ◽  
New Challenges ◽  
Real World Problems

Mathematical models have been frequently studied in recent decades in order to obtain the deeper properties of real-world problems [...]

An Intelligent Mathematical Modelling Assistant for Analysis of Physical Systems

1992 ◽  
Author(s):  
D. P. Finn ◽  
J. B. Grimson ◽  
N. M. Harty
Keyword(s):  
Artificial Intelligence ◽  
Mathematical Modelling ◽  
Mathematical Models ◽  
Case Based Reasoning ◽  
Physical Systems ◽  
Cad System ◽  
Engineering Problems ◽  
Transfer Problems ◽  
Modelling Process ◽  
Modelling Task

Abstract This paper describes work in progress aimed at developing an intelligent modelling assistant for the mathematical modelling task associated with engineering analysis. Mathematical modelling precedes detailed numerical analysis and involves formulating and evaluating engineering problems with the objective of proposing a candidate mathematical model that meets desired modelling requirements. The approach taken in this work is based on Chandrasekaran’s proposecritique-modify method which is adapted for modelling. The use of this paradigm is justified by viewing the mathematical modelling process as an activity of successive investigation and refinement of candidate mathematical models. The system architecture is based on exploiting a number of artificial intelligence techniques including model based reasoning, case based reasoning and rule based reasoning. A modelling options case base assists engineers in proposing candidate mathematical models. Engineering 1st principles and formulae are utilised within an artificial intelligence framework to provide a means of evaluating and critiquing the candidate mathematical models. The system is integrated with an existing interactive CAD system. The problem domain covered is application independent but will initially focus on the modelling and analysis of heat transfer problems.

Industrial Applications

2015 ◽  
pp. 503-537
Keyword(s):  
Structural Analysis ◽  
Mathematical Models ◽  
Industrial Application ◽  
Safety Assessment ◽  
Damage Mechanics ◽  
Industrial Applications ◽  
Analysis Techniques ◽  
Engineering Problems ◽  
The Subject ◽  
Earthquake Safety

The application of structural analysis techniques to solve real engineering problems is an entirely independent discipline by itself that cannot be properly presented in a book of structural mechanics. However, it is important to give an overview of how mathematical models can help make engineering decisions. This is the subject of the current chapter. The context of the presentation is that of earthquake safety assessment. Of course, this is not the only industrial application of the fracture and damage mechanics of frames, but it is a very representative one and a good example of it. The chapter is organized as follows. First, the problem is presented and a protocol to solve it is described in Section 13.1. Then, an academic software that can be accessed via Internet is described in Section 13.2. This program is used to solve some examples of real structures in the last section of the chapter.

The cubature formulas computing modeling

2021 ◽  
pp. 28-32
Author(s):  
N.S. Krivsha ◽  
◽  
S.A. Butenkov ◽  
V.V. Krivsha ◽  
Keyword(s):  
Mathematical Models ◽  
Programming Language ◽  
Theoretical Basis ◽  
Granular Computing ◽  
Automated Design ◽  
New Approach ◽  
Hybrid Computing ◽  
Cubature Formulas ◽  
Wide Domain ◽  
Engineering Problems

Presented paper is related with the problem of hybrid computing structures design and their methodology. The main purpose is the theoretical basis for the automated design supercomputing devices development and the different restrictions accounting. The theory of space granular models and granular computing are used for the new theoretical basis development. As a result, the mathematical models, provided in this paper, may be implemented to the FPGA units by the special COLAMO programming language. The new approach provides the universal computing devices for the multidimensional cubature formulas for the very wide domain of engineering problems.

scholarly journals MATHEMATICAL MODEL OF THE THERMAL-AIR REGIME OF A VENTILATED ATTIC

2015 ◽  
Vol 21 (6) ◽  
pp. 710-719 ◽  
Author(s):  
Jerzy Zbigniew Piotrowski ◽  
Anatoliy Stroy ◽  
Marianna Olenets
Keyword(s):  
Mathematical Model ◽  
Heat Flux ◽  
Mathematical Models ◽  
Climatic Conditions ◽  
Air Movement ◽  
Convective Component ◽  
Engineering Problems

This paper presents the developed mathematical models that characterize the thermal-air regime of a ventilated attic in the summer and winter seasons. The relevance of the mathematical models was shown and examples of applying these models to solve some engineering problems were presented. Mathematical models can be used to analyze and evaluate changes in the temperature and heat flux (the radiant and convective component) along the air movement in the attic and to select the materials for the roof and floor, as well as for the calculation of ventilation for different climatic conditions.

scholarly journals Scientific Computing and the Huygens' Principle

2018 ◽  
Vol 1 (2) ◽  
pp. 44
Author(s):  
Alonso Álvarez ◽  
Narcisa Salazar ◽  
José Tinajero
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Fourier Analysis ◽  
Mathematical Models ◽  
Scientific Computing ◽  
Sound Waves ◽  
Entire Life ◽  
Mathematical Simulations ◽  
Engineering Problems ◽  
Huygens Principle

Abstract. Mathematics has been present in the development of society since time immemorial; great figures have dedicated their entire life to analysis and research in various branches of this broad science. Scientific Computing is closely related to the design and construction of mathematical models aimed at solving scientific, social and engineering problems. There are several applications of this discipline, for example for mathematical simulations of differential equations in partial derivatives that describe the propagation of a variety of waves such as sound waves, or heat conduction problems in different media, which can be solved using The Fourier Analysis. Through Graphical Computing the Huygens Principle can be verified. All these models can be implemented through the computer in order to facilitate the complex calculations that must be done to solve problems of this type and depending on the case to condense all this information into a graph "A good graph says more than a thousand words (Chinese Proverb) ".  

scholarly journals HURRICANE STUDIES FOR NARRAGANSETT BAY

1964 ◽  
Vol 1 (9) ◽  
pp. 42
Author(s):  
John B. McAleer
Keyword(s):  
United States ◽  
Mathematical Models ◽  
Gulf Coast ◽  
The United States ◽  
Coastal Engineering ◽  
Narragansett Bay ◽  
Hydraulic Models ◽  
Scientific Investigations ◽  
Engineering Problems ◽  
Under Construction

Hurricane flooding has emerged as one of the major coastal engineering problems of the Atlantic and Gulf Coast areas of the United States. Engineering and scientific investigations have been made to determine the fundamental mechanics of the hurricane surges that cause inunda tion of coastal areas and to develop practical and economical protection. Mathematical models and large hydraulic models were used for the Narragansett Bay studies of two major projects. The discussions presented herein are limited to the hydraulic studies of barriers at the mouth of the bay, known as the Lower Bay Barri Plan, and a brief description of this plan and the Fox Point Hurricane Barrier which is now under construction.

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