Ebook: Continuous System Modeling
- Tags: Appl.Mathematics/Computational Methods of Engineering, Electrical Engineering, Systems Theory Control, Calculus of Variations and Optimal Control, Optimization
- Year: 1991
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.
Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.
Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.
Content:
Front Matter....Pages i-xxviii
Introduction, Scope, and Definitions....Pages 1-22
Basic Principles of Continuous System Modeling....Pages 23-50
Principles of Passive Electrical Circuit Modeling....Pages 51-78
Principles of Planar Mechanical System Modeling....Pages 79-132
Hierarchical Modular Modeling of Continuous Systems....Pages 133-200
Principles of Active Electrical Circuit Modeling....Pages 201-249
Bond Graph Modeling....Pages 251-296
Modeling in Nonequilibrium Thermodynamics....Pages 297-346
Modeling Chemical Reaction Kinetics....Pages 347-416
Population Dynamics Modeling....Pages 417-454
System Dynamics....Pages 455-506
Na?ve Physics....Pages 507-553
Inductive Reasoning....Pages 555-622
Artificial Neural Networks and Genetic Algorithms....Pages 623-702
Automated Model Synthesis....Pages 703-741
Back Matter....Pages 743-755
Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.
Content:
Front Matter....Pages i-xxviii
Introduction, Scope, and Definitions....Pages 1-22
Basic Principles of Continuous System Modeling....Pages 23-50
Principles of Passive Electrical Circuit Modeling....Pages 51-78
Principles of Planar Mechanical System Modeling....Pages 79-132
Hierarchical Modular Modeling of Continuous Systems....Pages 133-200
Principles of Active Electrical Circuit Modeling....Pages 201-249
Bond Graph Modeling....Pages 251-296
Modeling in Nonequilibrium Thermodynamics....Pages 297-346
Modeling Chemical Reaction Kinetics....Pages 347-416
Population Dynamics Modeling....Pages 417-454
System Dynamics....Pages 455-506
Na?ve Physics....Pages 507-553
Inductive Reasoning....Pages 555-622
Artificial Neural Networks and Genetic Algorithms....Pages 623-702
Automated Model Synthesis....Pages 703-741
Back Matter....Pages 743-755
....