Computer Modeling and Simulation of Dynamic Systems Using Wolfram SystemModeler

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.

Auteur

Kirill Rozhdestvensky works at the SMTU since 1969, and is the Director of International Affairs Department, Professor, Doctor of Technical Sciences, Chartered Engineer, Fellow of the Institute of Marine Engineering, Science & Technology (IMarEST, London), Honorary President of the IMarEST, Honored Scientist of the Russian Federation, Professor of the Department of Applied Mathematics andMathematical Modeling, , Vice-Rector for International Cooperation in Science & Education. He is an author of more than 100 publications, mostly in the field of mathematical modeling. He received Denny Gold Medal from the Institute of Marine Engineering, Science & Technology, London, in 1998. He is a Chairman of the Academic Degree Councils. He worked as a Visiting Professor in USA (Virginia Tech), France (Ecole Centrale de Nantes), Italy (University of Palermo), China (Shipbuilding Industry Corporation), Germany (University of Harburg-Hamburg), etc.

Vladimir Ryzhov works at the SMTU since 1984, and is an Head of Applied Math & Math Modeling Department, Director of «e-Learning, Science & Technology Center», Professor, Doctor of Technical Sciences. His teaching background is engaged in developing innovative methods and models of training on subjects of the department with a special focus on e-learning courses. He developed methods of knowledge testing for research engineering disciplines. He has extensive experience in educational (academic and corporative) and research projects management. He trains Ph.D. students in fluid mechanics. He is a member of the Academic Degree Councils, and has a large experience in Ph.D. thesis quality assessment. He is an author of more than 100 scientific publications. He was the coordinator of international projects (TEMPUS, ERASMUS programs).

Tatyana Fedorova works at the SMTU since 1994, is an Associate Professor of the Department of Applied Mathematics and Mathematical Modeling, and holds Ph.D. in theoretical physics. The area of her research experience lies in the field of many-body interactions in complex systems. She teaches a wide range of disciplines at graduate and postgraduate levels. She has a special interest in developing e-learning courses of theoretical orientation. She is involved in graduate and postgraduate student supervision in the fields of mathematical and computer modeling. She is an author of 25 articles. She has extensive experience in teamwork and international cooperation.

Kirill Safronov works at the SMTU since 2015, and is an Assistant Professor of Applied Mathematics and Mathematical Modeling Department. He has held the position of an Assistant Professor. He is engaged in developing innovative methods and models of teaching on mathematical subjects. He has work experience in the primary field of the department (he works for Wärtsila Ltd as a Modeling Engineer). He is a developer of syllabi of the practice-oriented computer modeling and simulation courses.

Nikita Tryaskin works at the SMTU since 2010, and is an Associate Professor of the Department of Hydromechanics and Marine Acoustics, and Head of Laboratory of Applied Hydromechanics. He holds Ph.D. in Ship Theory and Structural Mechanics. He has a wide experience in fluid mechanics and CFD. Since 2018, he is lecturing for CFD course at Zhejiang Ocean University. He has been participating in international program with Bureau Veritas, France. He is an author of 10 scientific publications.

Professor Ir. Dr. Shaharin Anwar Sulaiman serves the Department of Mechanical Engineering at Universiti Teknologi PETRONAS. He holds a B.Sc., M.Sc., and Ph.D. in Mechanical Engineering from the USA and the UK. He was a Mechanical & Electrical (M&E) Engineer in YTL Construction prior to joining the academics in 1998. His research interests include air-conditioning, biomass energy, solar photovoltaic, combustion, and flow assurance. He published a few books: Engineers in Society (2010), Gas District Cooling in Malaysia (2011), Downdraft Gasification of Oil Palm Frond (2012), and Energy Efficiency Improvements: Miscellanea (2014). He was also UTP's Director of Mission-Oriented Research (MOR) for Hybrid Energy Systems in UTP from 2009 to 2017.

Mark Ovinis is a Senior Lecturer at the Mechanical Engineering Department, Universiti Teknologi PETRONAS. His current research areas are in underwater vehicles and machine vision. He received his Ph.D. from Loughborough University, UK. He earned his master's degree in Mechanical Engineering from Texas A&M University, USA, an...

Contenu
Foreword

1.1. Basic concepts of modeling

1.2. Classification of mathematical models

1.3. The main properties of mathematical models

1.4. Computer modeling and computational experiment

1.5. Classification of computer models

1.6. Open and isolated models

1.7. One-component and multi-component models

1.8 Continuous, discrete and hybrid models

1.9 Linear and nonlinear systems

1.10 Component-oriented approach in modeling

2. Wolfram SystemModeler environment description

2.1. General concepts

2.2. Model Center

2.3. Simulation Center Numerical Experiment 2.3.1 Experiment Browser

2.3.2. Solver Choice

2.3.3 Graphing

2.3.4 Model Animation 2.3.5 Example Simulation Center Tools: FFT Analysis

2.4. The process of creating a dynamic model in Wolfram SystemModeler

2.4.1 Creating your own component in text mode

2.4.2 Performing a numerical experiment

2.4.3 Creating your own component library for modeling complex systems

2.5. Basics of component modeling in WSM

2.5.1 Creating a computer model of a spring pendulum: Modelica code and component modeling 2.5.2 Analysis of the properties of the created component

2.5.3 An example of the use of created components: multi-link chain

2.6. Creating a hybrid model in WSM using Modelica features

2.6.1 Using the capabilities of the Modelica language to describe continuous and discrete events

2.6.2 Modelica Language Example: Bouncing Ball

2.7. General recommendations for creating a computer model

3. Computer simulation of dynamic systems

3.1. Dynamic system modeling

3.2. Fundamental principles for constructing mathematical models

3.2.1 Use of Newton's laws and conservation laws

3.2.2. Variational principles

3.3 Hierarchical principles for constructing mathematical models

3.4. Universality of a computer model and equivalent physical systems

4. Modeling of mechanical oscillatory systems with one degree of freedom. Examples

4.1. Mathematical pendulum

4.2. Galileo Pendulum

4.3. Mathematical pendulum with spring

5. Modeling of mechanical oscillatory systems with several degrees of freedom. Examples

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

6. Hierarchical component models. Examples

6.1. The problem of the liquid level in a tank with a flat bottom

6.2. The problem of heating and fluid outflow from a system of two tanks 6.3. The equilibrium problem for the inverse pendulum