Computer Modeling and Simulation of Dynamic Systems Using Wolfram SystemModeler

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 Experiment2.3.1 Experiment Browser



2.3.2. Solver Choice

2.3.3 Graphing

2.3.4 Model Animation2.3.5 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 modeling2.5.2 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.

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