5 A Detailed Representative Problem

2004 ◽  
pp. 65-81
Author(s):  
Meir Shillor ◽  
Mircea Sofonea ◽  
Józef Joachim Telega
Keyword(s):  
Representative Problem

scholarly journals The Use of Neural Networks and Genetic Algorithms for Design of Groundwater Remediation Schemes

1997 ◽  
Vol 1 (2) ◽  
pp. 345-356 ◽  
Author(s):  
Z. Rao ◽  
D. G. Jamieson
Keyword(s):  
Neural Network ◽  
Genetic Algorithm ◽  
Neural Networks ◽  
Artificial Neural Network ◽  
Genetic Algorithms ◽  
Hybrid Algorithm ◽  
Large Scale ◽  
Groundwater Remediation ◽  
Injection Wells ◽  
Representative Problem

Abstract. The increasing incidence of groundwater pollution has led to recognition of a need to develop objective techniques for designing reniediation schemes. This paper outlines one such possibility for determining how many abstraction/injection wells are required, where they should be located etc., having regard to minimising the overall cost. To that end, an artificial neural network is used in association with a 2-D or 3-D groundwater simulation model to determine the performance of different combinations of abstraction/injection wells. Thereafter, a genetic algorithm is used to identify which of these combinations offers the least-cost solution to achieve the prescribed residual levels of pollutant within whatever timescale is specified. The resultant hybrid algorithm has been shown to be effective for a simplified but nevertheless representative problem; based on the results presented, it is expected the methodology developed will be equally applicable to large-scale, real-world situations.

Boundary conditions at a liquid/air interface in lubrication flows

1982 ◽  
Vol 119 ◽  
pp. 107-120 ◽  
Author(s):  
K. J. Ruschak
Keyword(s):  
Finite Element Method ◽  
Boundary Conditions ◽  
Problem Solution ◽  
Lubrication Approximation ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Air Interface ◽  
Outer Expansion ◽  
Two Dimensional Flow ◽  
Representative Problem

A difficulty in applying the lubrication approximation to flows where a liquid/air interface forms lies in supplying boundary conditions at the point of formation of the interface that are consistent with the lubrication approximation. The method of matched asymptotic expansions is applied to the flow between partially submerged, counter-rotating rollers, a representative problem from this class, and the lubrication approximation is found to generate the first term of an outer expansion of the problem solution. The first term of an inner expansion describes the two-dimensional flow in the vicinity of the interface, and approximate results are found by the finite-element method. Matching between the inner and outer solutions determines boundary conditions on the pressure and the pressure gradient at the point of formation of the interface which allow the solution to the outer, lubrication flow to be completed.

Numerical Simulation of Transient Finite Deformations of Thin Beams

1983 ◽  
Vol 50 (4a) ◽  
pp. 765-769
Author(s):  
J. J. A. Rodal ◽  
D. J. Steigmann ◽  
E. A. Witmer
Keyword(s):  
Numerical Simulation ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Deformations ◽  
Viscoplastic Deformation ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Solution Methods ◽  
Representative Problem ◽  
Thin Beams

The formulation of the problem of finite elastic-viscoplastic deformation of thin beams is described. The finite element analysis of a representative problem is presented and various solution methods are surveyed.

scholarly journals POLIMEDIA: UNA VÍA PARA LA DIFUSIÓN DEL LENGUAJE MUSICAL

2019 ◽  
Vol 4 (2) ◽  
pp. 97
Author(s):  
Galo Mauricio López ◽  
Edisson Alberto Chiluisa-Ochoa ◽  
Ricardo Patricio Medina-Chicaiza ◽  
Estefanía Soledad Sarzosa-Rivera
Keyword(s):  
Musical Language ◽  
New Techniques ◽  
Level Of Education ◽  
Palabras Clave ◽  
Technological Tools ◽  
Representative Problem ◽  
Subsequent Measurement ◽  
The Subject ◽  
Educational Videos ◽  
Basic Level

RESUMEN La investigación tiene como objetivo desarrollar polimedias para la cátedra de Lenguaje Musical en el nivel básico medio de educación en Ecuador. El trabajo investigativo evidencia como problema más representativo que la asignatura no cuenta con suficientes recursos didácticos sin recibir la influencia de nuevas técnicas y la aplicación de la tecnología. Se utilizó métodos que sustenten los elementos teóricos y las herramientas tecnológicas más idóneas en la preparación de la polimedia acorde al tipo de temática educativa; así como, la herramienta SocialBlade para medir y evaluar las polimedias del canal en YouTube. Entre los resultados se encuentra el procedimiento para crear una polimedia y la difusión del contenido en un canal de video en YouTube y la medición cuantitativa del número de visualizaciones, me gusta y no me gusta de las polimedias subidas al canal social; reflejándose la importancia de utilizar recursos tecnológicos en el proceso de enseñanza – aprendizaje. PALABRAS CLAVE: audiovisual; lenguaje musical; polimedia; videos educativos. POLIMEDIA: A WAY FOR THE DIFFUSION OF MUSICAL LANGUAGE ABSTRACT The objective of the research is to develop polimedias for the Chair of Musical Language at the basic level of education in Ecuador. The investigative work shows as a more representative problem that the subject does not have enough didactic resources without being influenced by new techniques and the application of technology. We used methods that support the theoretical elements and the most suitable technological tools in the preparation of the polimedia according to the type of educational theme; as well as, the tool SocialBlade to measure and evaluate the polimedias of the channel on YouTube. Among the results is the process to create a polimedia and the diffusion of the content in a YouTube video channel and its subsequent measurement. KEYWORDS: audiovisual; musical language; polymedia; educational videos.

Dynamic Analysis of Multi-Rigid-Body Systems

1974 ◽  
Vol 96 (3) ◽  
pp. 886-892 ◽  
Author(s):  
V. K. Gupta
Keyword(s):  
Digital Simulation ◽  
Equations Of Motion ◽  
Rigid Bodies ◽  
Mechanism Analysis ◽  
Spatial Mechanism ◽  
Higher Derivatives ◽  
Reaction Forces ◽  
Representative Problem ◽  
Classical Vector ◽  
Vector Approach

A method is presented for formulating and solving the Newton-Euler equations of motion of a system of interconnected rigid bodies. The digital simulation may involve numerical integration of the kinematic equations as well as the dynamic equations. The reaction forces and torques resulting from rigid constraints imposed at the connecting joints are also determined. The derivation of kinematic expressions for first and higher derivatives is demonstrated based on direct differentiation of the rotation matrix in the spirit of the classical vector approach. A representative problem in spatial mechanism analysis is solved and illustrated with numerical results.

Stability of a Time-Delayed System With Parametric Excitation

2006 ◽  
Vol 129 (2) ◽  
pp. 125-135 ◽  
Author(s):  
Nitin K. Garg ◽  
Brian P. Mann ◽  
Nam H. Kim ◽  
Mohammad H. Kurdi
Keyword(s):  
Time Delay ◽  
Parametric Excitation ◽  
Mathieu Equation ◽  
Periodic Coefficient ◽  
Single Element ◽  
New Approach ◽  
Delayed System ◽  
Representative Problem ◽  
The Stability ◽  
Time Periodic

This paper investigates two different temporal finite element techniques, a multiple element (h-version) and single element (p-version) method, to analyze the stability of a system with a time-periodic coefficient and a time delay. The representative problem, known as the delayed damped Mathieu equation, is chosen to illustrate the combined effect of a time delay and parametric excitation on stability. A discrete linear map is obtained by approximating the exact solution with a series expansion of orthogonal polynomials constrained at intermittent nodes. Characteristic multipliers of the map are used to determine the unstable parameter domains. Additionally, the described analysis provides a new approach to extract the Floquet transition matrix of time periodic systems without a delay.

NUMERICAL ANALYSIS OF SOME DECOUPLING TECHNIQUES FOR THE APPROXIMATION OF THE UNSTEADY FLUID STRUCTURE INTERACTION

2001 ◽  
Vol 11 (08) ◽  
pp. 1349-1377 ◽  
Author(s):  
C. GRANDMONT ◽  
V. GUIMET ◽  
Y. MADAY
Keyword(s):  
Numerical Analysis ◽  
Nonlinear Problem ◽  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
One Dimensional ◽  
Structure Interaction ◽  
Highly Nonlinear ◽  
Representative Problem ◽  
Unsteady Fluid

This paper deals with the numerical analysis of some algorithms for the simulation of the interaction between a fluid and a structure in the case where the deformation of the structure induces an evolution in the fluid domain. This is a highly nonlinear problem and the algorithms of time decoupling are very numerous and not completely well understood. We study three of them for a one-dimensional representative problem. We prove that the considered algorithms are stable and we also prove that one of them is convergent.

Components of Accurate Problem-Solving Communications

1973 ◽  
Vol 10 (1) ◽  
pp. 39-48 ◽  
Author(s):  
Thelma L. Baldwin ◽  
Catherine J. Garvey
Keyword(s):  
Problem Solving ◽  
Point Of View ◽  
Fifth Grade ◽  
Social Characteristics ◽  
Communication Behaviors ◽  
Specific Content ◽  
Essential Information ◽  
Representative Problem ◽  
Three Components

A type of problem-solving communication is defined in which, it is hypothesized, communication accuracy may be facilitated by specified communication behaviors. Forty-three pairs of fifth grade children were observed performing three representative problem-solving tasks. Although the specific content of the three tasks differed, accuracy scores were significantly correlated. Three components of problem-solving communication were assessed: (1) orientation to other’s point of view, (2) communication of essential information and (3) verification of solutions. These components were used to account for communication accuracy and to reexamine previously reported relationships between children’s social characteristics and communication accuracy.

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