Computer Modeling and Simulation of Dynamic Systems Using Wolfram SystemModeler

✍ Scribed by Kirill Rozhdestvensky, Vladimir Ryzhov, Tatiana Fedorova, Kirill Safronov, Nikita Tryaskin, Shaharin Anwar Sulaiman, Mark Ovinis, Suhaimi Hassan

• Publisher: Springer
• Year: 2020
• Tongue: English
• Leaves: 274
• Category: Library

✦ Synopsis

This book briefly discusses the main provisions of the theory of modeling. It also describes in detail the methodology for constructing computer models of dynamic systems using the Wolfram visual modeling environment, SystemModeler, and provides illustrative examples of solving problems of mechanics and hydraulics. Intended for students and professionals in the field, the book also serves as a supplement to university courses in modeling and simulation of dynamic systems.

✦ Table of Contents

Reviewers
Introduction
References
Contents
1 Modeling Systems
1.1 Basic Modeling Concepts
1.2 Classification of Mathematical Models
1.3 Basic Properties of Mathematical Models
1.4 Computer Simulation and Computational Experiment
1.5 Classification of Computer Models
1.6 Open and Isolated Models
1.7 Single component and Multicomponent Models
1.8 Continuous, Discrete, and Hybrid Models
1.9 Linear and Nonlinear Systems
1.10 Component-Oriented Approach in Modeling
References
2 Description of the Wolfram SystemModeler
2.1 General Concepts
2.2 Model Center
2.3 Simulation Center
2.3.1 Experiment Browser
2.3.2 Solver Selection
2.3.3 Plotting
2.3.4 Model Animation
2.3.5 FFT Analysis
2.4 Creating a Dynamic Model in Wolfram SystemModeler
2.4.1 Creating a Component in Text Mode
2.4.2 Perform a Numerical Experiment
2.4.3 Creating a Library of Components for Complex Systems Modeling
2.5 Basics of Component Modeling in WSM
2.5.1 Creating a Spring Pendulum Model
2.5.2 Analysis of the Properties of the Spring Pendulum Component
2.5.3 Example of Using the Spring Pendulum Component: Multi-link
2.6 Creating a Hybrid Model in the WSM Package on the Modelica Language
2.6.1 Modelica Language Features to Describe Continuous and Discrete Events
2.6.2 An Example of Using Modelica Language Tools: Bouncing Ball
2.7 General Recommendations for Creating a Computer Model
References
3 Computer Simulation of Dynamic Systems
3.1 Dynamic System Modeling
3.2 Fundamental Principles for Mathematical Models Development
3.2.1 Newton’s Laws and Conservation Laws
3.2.2 Variational Principles
3.3 Hierarchical Principles of Model Building
3.4 Universality of a Computer Model and Equivalent Physical Systems
References
4 Modeling of Mechanical Oscillatory Systems with One Degree of Freedom
4.1 Mathematical Pendulum
4.2 Galileo Pendulum
4.3 Mathematical Pendulum with Spring
References
5 Modeling of Mechanical Oscillatory Systems with Several Degrees of Freedom
5.1 The Movement of Two Bodies with Friction
5.2 Mechanical System with Damper and Spring
5.3 The Movement of Three Bodies Connected by a Damper and Springs
5.4 Connected Pendulums
5.5 Double Pendulum
5.6 Dual Torsion Oscillator
5.7 Gear Rotary Mechanical System
5.8 Mechanical System with Two Springs and a Block
5.9 Sophisticated Mechanical System with Springs and Block
References
6 Hierarchical Component Models
6.1 Draining of a Tank
6.2 Heating a Liquid Mixture
6.3 Inverted Pendulum Problem
6.4 Final Remarks
References