Modeling and Simulation of Complex Dynamical Systems: Virtual Laboratory Approach based on Wolfram SystemModeler

✍ Scribed by Vladimir Ryzhov, Tatiana Fedorova, Kirill Safronov, Shaharin Anwar Sulaiman, Mark Ovinis, Veeradasan Perumal

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 182
• Category: Library

✦ Synopsis

This book highlights the practical aspects of computer modelling and simulation of complex dynamical systems for students. Mechanical systems are considered in the book as representative examples of dynamical systems. Wolfram SystemModeler, in combination with Learning Management System Sakai, is used as an instrument for studying features of various physical and technical phenomena and processes. Each of the presented virtual labs may be considered a stand-alone mini project to enable students to go through all the steps of mathematical modelling and computer simulation―from the problem statement to mathematical and physical analysis of the obtained result. The book is useful for teachers to organize the educational process, allowing gradual monitoring of the learning process and assessment of students’ competencies. It also allows tutors to design individual educational trajectories for students to achieve educational properties. The subject of the book is an extension of activitystarted by the international team of authors within the InMotion project of the European programme ERASMUS+.

✦ Table of Contents

Introduction
Theoretical Basic
Mathematical Model
Component Modeling
Numerical Experiment (Testing and Simulation of the Model)
Plotting Graphs
Analysis of Results
Entrance Test
Tests and Questions
Analytical Report and Presentation
Assessment of the Laboratory Work
Contents
1 Virtual Labs
Abstract
1.1 Basic (Simple) Models
1.1.1 Spring Pendulum
1.1.2 Simple (Math) Pendulum
1.2 Complex Models
1.2.1 Computer Modeling of Projectile Motion
1.2.2 Computer Modeling of Springdamper System
1.2.3 Computer Modeling of Ballistic Pendulum
1.2.4 Computer Modeling of Newton’s Cradle
1.2.5 Computer Modeling of Rotational Motion of Bodies
1.2.6 Computer Modeling of Elliptic Pendulum
1.2.7 Computer Modeling of Coupled Pendulum System
1.2.8 Computer Modeling of Double Pendulum
1.2.9 Computer Modeling of Rotating Swing
1.2.10 Computer Modeling of Gyroscopic Precession
References
2 Guidelines for Performing Virtual Labs in Wolfram SystemModeler
Abstract
2.1 Getting Start with Wolfram SystemModeler
2.2 Creating a Component Model
2.3 Setting the Initial Parameters of a Computer Model
2.4 Choosing a Numerical Method and Simulation Settings
2.5 Simulate a Model
2.6 Plotting and Graph Analysis
2.7 FFT Analysis
2.8 Guidelines for “Computer Modeling of Projectile Motion”
2.9 Guidelines for “Computer Modeling of Spring-Damper System”
2.10 Guidelines for “Computer Modeling of Ballistic Pendulum”
2.11 Guidelines for “Computer Modeling of Newton’s Cradle”
2.12 Guidelines for “Computer Modeling of Rotational Motion of Bodies”
2.13 Guidelines for “Computer Modeling of Elliptic Pendulum”
2.14 Guidelines for “Computer Modeling of Coupled Pendulum System”
2.15 Guidelines for “Computer Modeling of Double Pendulum”
2.16 Guidelines for “Computer Modeling of Rotating Swing”
2.17 Guidelines for “Computer Modeling of Gyroscopic Precession”
References