Mathematical Modeling of Physical Systems

Reference Material

• 1^st Lecture note for viewing, one slide per page (PDF) (Wednesday, September 19, 2012)
• 1^st Lecture note for printing, four slides per page (PDF) (Wednesday, September 19, 2012)
• Matlab program discussed in 1^st lecture note (.M) (Wednesday, September 19, 2012)
• Chapter 3 of Continuous System Modeling (PDF) (Wednesday, September 19, 2012)

• 2^nd Lecture note for viewing, one slide per page (PDF) (Wednesday, September 19, 2012)
• 2^nd Lecture note for printing, four slides per page (PDF) (Wednesday, September 19, 2012)
• Chapter 4 of Continuous System Modeling (PDF) (Wednesday, September 19, 2012)

• 3^rd Lecture note for viewing, one slide per page (PDF) (Wednesday, September 19, 2012)
• 3^rd Lecture note for printing, four slides per page (PDF) (Wednesday, September 19, 2012)
• Brück, D., H. Elmqvist, H. Olsson, and S.E. Mattsson (2002), "Dymola for Multi-engineering Modeling and Simulation," Proc. 2^nd Intl. Modelica Conference, Oberpfaffenhofen, Germany, pp. 55:1-8. (Wednesday, September 19, 2012)
• Otter, M. and H. Elmqvist (2001), "Modelica: Language, Libraries, Tools, Workshop, and EU-Project RealSim," Modelica Website. (Wednesday, September 19, 2012)

• 4^th Lecture note for viewing, one slide per page (PDF) (Wednesday, September 26, 2012)
• 4^th Lecture note for printing, four slides per page (PDF) (Wednesday, September 26, 2012)
• Cellier, F.E. and H. Elmqvist (1993), "Automated Formula Manipulation Supports Object-oriented Continuous-system Modeling," IEEE Control Systems, 13(2), pp.28-38. (Wednesday, September 26, 2012)

• 5^th Lecture note for viewing, one slide per page (PDF) (Wednesday, September 26, 2012)
• 5^th Lecture note for printing, four slides per page (PDF) (Wednesday, September 26, 2012)
• Elmqvist, H. and M. Otter (1994), "Methods for Tearing Systems of Equations in Object-oriented Modeling," Proc. ESM'94, European Simulation Multiconference, Barcelona, Spain, pp.326-332. (Wednesday, September 26, 2012)

• 6^th Lecture note for viewing, one slide per page (PDF) (Wednesday, September 26, 2012)
• 6^th Lecture note for printing, four slides per page (PDF) (Wednesday, September 26, 2012)

• 7^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 3, 2012)
• 7^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 3, 2012)
• Otter M., H. Elmqvist, and F.E. Cellier (1995), "Relaxing: A Symbolic Sparse Matrix Method Exploiting the Model Structure in Generating Efficient Simulation Code," Proc. Symp. Modelling, Analysis, and Simulation, CESA'96, IMACS MultiConference on Computational Engineering in Systems Applications, Lille, France, vol.1, pp.1-12. (Wednesday, October 3, 2012)

• 8^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 3, 2012)
• 8^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 3, 2012)

• 9^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 3, 2012)
• 9^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 3, 2012)
• Chapter 7 of Continuous System Modeling (PDF) (Wednesday, October 3, 2012)
• Cellier, F.E. (1992), "Hierarchical Non-linear Bond Graphs: A Unified Methodology for Modeling Complex Physical Systems," Simulation, 58(4), pp. 230-248. (Wednesday, October 3, 2012)
• Cellier, F.E., H. Elmqvist, and M. Otter (1995), "Modeling from Physical Principles," The Control Handbook (W.S. Levine, ed.), CRC Press, Boca Raton, FL, pp. 99-108. (Wednesday, October 3, 2012)
• Cellier, F.E. (1997), "World Wide Web - The Global Library: A Compendium of Knowledge About Bond Graph Research," Proc. ICBGM'97, 3rd SCS Intl. Conf. on Bond Graph Modeling and Simulation, Phoenix, AZ, pp.187-191. (Wednesday, October 3, 2012)

• Dynasim AB (2005), "Dymola Users' Manual, Version 5. (Wednesday, October 3, 2012)
• Dynasim AB (2006), "Dymola 6, Additions. (Wednesday, October 3, 2012)
• Dynasim AB (2005), "Getting Started with Dymola. (Wednesday, October 3, 2012)

• 10^th Lecture note for viewing, one slide per page (PDF) (Tuesday, October 9, 2012)
• 10^th Lecture note for printing, four slides per page (PDF) (Tuesday, October 9, 2012)
• Borutzky, W. and F.E. Cellier (1996), "Tearing Algebraic Loops in Bond Graphs," Trans. of SCS, 13(2), pp.102-115. (Tuesday, October 9, 2012)
• Borutzky, W. and F.E. Cellier (1996), "Tearing in Bond Graphs With Dependent Storage Elements," Proc. Symposium on Modelling, Analysis, and Simulation, CESA'96, IMACS MultiConference on Computational Engineering in Systems Applications, Lille, France, vol.2, pp.1113-1119. (Tuesday, October 9, 2012)

• 11^th Lecture note for viewing, one slide per page (PDF) (Tuesday, October 9, 2012)
• 11^th Lecture note for printing, four slides per page (PDF) (Tuesday, October 9, 2012)

• 12^th Lecture note for viewing, one slide per page (PDF) (Tuesday, October 9, 2012)
• 12^th Lecture note for printing, four slides per page (PDF) (Tuesday, October 9, 2012)
• Chapter 8 of Continuous System Modeling (PDF) (Tuesday, October 9, 2012)

• 13^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 17, 2012)
• 13^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 17, 2012)
• Chapter 6 of Continuous System Modeling (PDF) (Wednesday, October 17, 2012)
• Schweisguth, M.C. (1997), "Semiconductor Modeling with Bondgraphs," MS Thesis, Dept. of Electr. & Comp. Engr., University of Arizona, Tucson, AZ. (Wednesday, October 17, 2012)
• Schweisguth, M.C. and F.E. Cellier (1999), "A Bond Graph Model of the Bipolar Junction Transistor," Proc. SCS Intl. Conf. on Bond Graph Modeling, San Francisco, CA, pp.344-349. (Wednesday, October 17, 2012)

• 14^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 17, 2012)
• 14^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 17, 2012)
• Cellier, F.E. and R.T. McBride (2003), "Object-oriented modeling of complex physical systems using the Dymola bond-graph library," Proc. ICBGM’03, Intl. Conf. Bond Graph Modeling and Simulation, Orlando, FL, pp.157-162. (Wednesday, October 17, 2012)
• Cellier, F.E. and A. Nebot (2005), "The Modelica Bond Graph Library," Proc. 4^th Intl. Modelica Conference, Hamburg, Germany, Vol.1, pp.57-65. (Wednesday, October 17, 2012)
• Cellier, F.E., C. Clauß, and A. Urquía (2007), "Electronic Circuit Modeling and Simulation in Modelica," Proc. 6^th Eurosim Congress, Ljubljana, Slovenia, Vol.2, pp.1-10. (Wednesday, October 17, 2012)

• 15^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 24, 2012)
• 15^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 24, 2012)
• Weiner, M., and F.E. Cellier (1993), "Modeling and Simulation of a Solar Energy System by Use of Bond Graphs," Proc. ICBGM'93, Intl. Conf. Bond Graph Modeling and Simulation, San Diego, CA, pp.301-306. (Wednesday, October 24, 2012)
• Weiner, M. (1992), "Bond Graph Model of a Passive Solar Heating System," MS Thesis, Dept. of Electr. & Comp. Engr., University of Arizona, Tucson, AZ. (Wednesday, October 24, 2012)

• 16^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 24, 2012)
• 16^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 24, 2012)
• Desert biome (desert.wmv). (Wednesday, October 24, 2012)
• Mangrove swamps (mangrove.wmv). (Wednesday, October 24, 2012)
• The "ocean" (ocean.wmv). (Wednesday, October 24, 2012)
• The rain forest (rf.wmv). (Wednesday, October 24, 2012)
• Climate control (technisphere.wmv). (Wednesday, October 24, 2012)
• Nebot, A., F.E. Cellier, and F. Mugica (1999), "Simulation of Heat and Humidity Budgets of Biosphere 2 Without Air Conditioning," Ecological Engineering, 13, pp.333-356. (Wednesday, October 24, 2012)
• Cellier, F.E., A. Nebot, and J. Greifeneder (2006), "Bond Graph Modeling of Heat and Humidity Budgets of Biosphere 2," Environmental Modeling & Software, 21(11), pp.1598-1606. (Wednesday, October 24, 2012)

• 17^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 31, 2012)
• 17^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 31, 2012)
• Cellier, F.E. (1979), Combined Continuous/Discrete System Simulation by Use of Digital Computers: Techniques and Tools, PhD Dissertation, Swiss Federal Institute of Technology, ETH Zurich, Switzerland. (Wednesday, October 31, 2012)
• Elmqvist, H., F.E. Cellier, and M. Otter (1993), "Object-oriented Modeling of Hybrid Systems," Proc. ESS'93, SCS European Simulation Symposium, Delft, The Netherlands, pp.xxxi-xli. (Wednesday, October 31, 2012)
• Cellier, F.E., M. Otter, and H. Elmqvist (1995), "Bond Graph Modeling of Variable Structure Systems," Proc. ICBGM'95, 2^nd SCS Intl. Conf. on Bond Graph Modeling and Simulation, Las Vegas, NV, pp.49-55. (Wednesday, October 31, 2012)
• Elmqvist, H., F.E. Cellier, and M. Otter (1994), "Object-oriented Modeling of Power-electronic Circuits Using Dymola," Proc. CISS'94, First Joint Conference of International Simulation Societies, Zurich, Switzerland, pp.156-161. (Wednesday, October 31, 2012)
• Glaser, J.S., F.E. Cellier, and A.F. Witulski (1995), "Object-oriented Switching Power Converter Modeling Using Dymola With Event-handling," Proc. OOS'95, SCS Object-Oriented Simulation Conference, Las Vegas, NV, pp.141-146. (Wednesday, October 31, 2012)

• 18^th Lecture note for viewing, one slide per page (PDF) (Wednesday, October 31, 2012)
• 18^th Lecture note for printing, four slides per page (PDF) (Wednesday, October 31, 2012)
• Elmqvist, H., M. Otter, and F.E. Cellier (1995), "Inline Integration: A New Mixed Symbolic/Numeric Approach for Solving Differential-algebraic Equation Systems," Proc. ESM'95, European Simulation Multi-conference, Prague, Czech Republic, pp.xxiii-xxxiv. (Wednesday, October 31, 2012)
• Otter, M., H. Elmqvist, and S.E. Mattsson (1999), "Hybrid Modeling in Modelica Based on the Synchronous Data Flow Principle," Proc. CACSD'99, Computer-Aided Control System Design, Hawaii. (Wednesday, October 31, 2012)
• Krebs, M. (1997), Modeling of Conditional Index Changes, MS Thesis, Dept. of Electr. & Comp. Engr., University of Arizona, Tucson, AZ. (Wednesday, October 31, 2012)
• Cellier, F.E. and M. Krebs (2007), "Analysis and Simulation of Variable Structure Systems Using Bond Graphs and Inline Integration," Proc. ICBGM'07, 8^th Intl. Conf. Bond Graph Modeling and Simulation, San Diego, CA. (Wednesday, October 31, 2012)

• 19^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 7, 2012)
• 19^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 7, 2012)

• 20^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 7, 2012)
• 20^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 7, 2012)
• Zimmer, D. (2006), A Modelica Library for MultiBond Graphs and its Application in 3D-Mechanics, MS Thesis, Dept. of Computer Science, ETH Zurich. (Wednesday, November 7, 2012)
• Zimmer, D. and F.E. Cellier (2006), "The Modelica Multi-bond Graph Library," Proc. 5^th Intl. Modelica Conference, Vienna, Austria, Vol.2, pp.559-568. (Wednesday, November 7, 2012)
• Cellier, F.E. and D. Zimmer (2006), "Wrapping Multi-bond Graphs: A Structured Approach to Modeling Complex Multi-body Dynamics," Proc. 20^th European Conference on Modeling and Simulation, Bonn, Germany, pp.7-13. (Wednesday, November 7, 2012)

• 21^st Lecture note for viewing, one slide per page (PDF) (Wednesday, November 7, 2012)
• 21^st Lecture note for printing, four slides per page (PDF) (Wednesday, November 7, 2012)
• Crane crab animation (mmps_20_1.avi). (Wednesday, November 7, 2012)
• Sliding masses animation (mmps_20_2.avi). (Wednesday, November 7, 2012)
• Revolute joint equations (mmps_20_1.m). (Wednesday, November 7, 2012)
• Planar World model equations (mmps_20_2.m). (Wednesday, November 7, 2012)

• 22^nd Lecture note for viewing, one slide per page (PDF) (Wednesday, November 14, 2012)
• 22^nd Lecture note for printing, four slides per page (PDF) (Wednesday, November 14, 2012)

• 23^rd Lecture note for viewing, one slide per page (PDF) (Wednesday, November 14, 2012)
• 23^rd Lecture note for printing, four slides per page (PDF) (Wednesday, November 14, 2012)
• Andres, M. (2009), Object-Oriented Modeling of Wheels and Tires in Dymola/Modelica, MS Thesis, Mechatronics Program, Vorarlberg University of Science and Technology, Dornbirn, Austria. (Wednesday, November 14, 2012)
• Andres, M., D. Zimmer, and F.E. Cellier (2009), "Object-Oriented Decomposition of Tire Characteristics Based on Semi-empirical Models," Proc. 7^th Intl. Modelica Conference, Como, Italy, pp.9-18. (Wednesday, November 14, 2012)
• Schmitt, T. (2009), Modeling of a Motorcycle in Dymola/Modelica, MS Thesis, Mechatronics Program, Vorarlberg University of Science and Technology, Dornbirn, Austria. (Wednesday, November 14, 2012)
• Schmitt, T., D. Zimmer, and F.E. Cellier (2009), "A Virtual Motorcycle Rider Based on Automatic Controller Design," Proc. 7^th Intl. Modelica Conference, Como, Italy, pp.19-28. (Wednesday, November 14, 2012)
• Planar kinematic loop animation (mmps_22_1.avi). (Wednesday, November 14, 2012)
• Centrifugal force animation (mmps_22_2.avi). (Wednesday, November 14, 2012)
• Bicycle animation (mmps_22_3.avi). (Wednesday, November 14, 2012)
• Gyration torque animation (mmps_22_4.avi). (Wednesday, November 14, 2012)

• 24^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 14, 2012)
• 24^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 14, 2012)

• 25^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 21, 2012)
• 25^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 21, 2012)

• 26^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 21, 2012)
• 26^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 21, 2012)
• Chapter 9 of Continuous System Modeling (PDF) (Wednesday, November 21, 2012)
• Greifeneder, J. and F.E. Cellier (2001), "Modeling Convective Flows Using Bond Graphs," Proc. ICBGM'01, Intl. Conference on Bond Graph Modeling and Simulation, Phoenix, AZ, pp.276-284. (Wednesday, November 21, 2012)
• Greifeneder, J. and F.E. Cellier (2001), "Modeling Multi-phase Systems Using Bond Graphs," Proc. ICBGM'01, Intl. Conference on Bond Graph Modeling and Simulation, Phoenix, AZ, pp.285-291. (Wednesday, November 21, 2012)
• Greifeneder, J. and F.E. Cellier (2001), "Modeling Multi-element Systems Using Bond Graphs," Proc. ESS'01, European Simulation Symposium, Marseille, France, pp.758-766. (Wednesday, November 21, 2012)
• Greifeneder, J. (2001), Modellierung thermodynamischer Phänomene mittels Bondgraphen, Diploma Project, Institut für Systemdynamik und Regelungstechnik, University of Stuttgart, Germany. (Wednesday, November 21, 2012)

• 27^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 21, 2012)
• 27^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 21, 2012)
• Cellier, F.E. and J. Greifeneder (2003), "Object-oriented Modeling of Convective Flows Using the Dymola Thermo-bond-graph Library," Proc. ICBGM'03, Intl. Conference on Bond Graph Modeling and Simulation, Orlando, FL, pp.198-204. (Wednesday, November 21, 2012)
• Cellier, F.E. and J. Greifeneder (2008), "ThermoBondLib - A New Modelica Library for Modeling Convective Flows," Proc. Modelica'08, Bielefeld, Germany, Vol.1, pp.163-172. (Wednesday, November 21, 2012)

• 28^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 28, 2012)
• 28^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 28, 2012)
• Cellier, F.E. and J. Greifeneder (2009), "Modeling Chemical Reactions in Modelica by Use of Chemo-bonds," Proc. Modelica'09, Como, Italy, pp.142-150. (Wednesday, November 28, 2012)

• 29^th Lecture note for viewing, one slide per page (PDF) (Wednesday, November 28, 2012)
• 29^th Lecture note for printing, four slides per page (PDF) (Wednesday, November 28, 2012)

• 30^th Lecture note for viewing, one slide per page (PDF) (Wednesday, December 5, 2012)
• 30^th Lecture note for printing, four slides per page (PDF) (Wednesday, December 5, 2012)

• 31^st Lecture note for viewing, one slide per page (PDF) (Wednesday, December 5, 2012)
• 31^st Lecture note for printing, four slides per page (PDF) (Wednesday, December 5, 2012)
• Greifeneder, J. and F.E. Cellier (2012), "Modeling Chemical Reactions Using Bond Graphs," Proc. ICBGM'12, 10^th SCS Intl. COnf. on Bond Graph Modeling and Simulation, Genoa, Italy, pp.110-121. (Wednesday, December 5, 2012)

• 32^nd Lecture note for viewing, one slide per page (PDF) (Wednesday, December 5, 2012)
• 32^nd Lecture note for printing, four slides per page (PDF) (Wednesday, December 5, 2012)
• Brooks, B.A. (1993), "Modeling of a Distillation Column Using Bond Graphs," MS Thesis, Dept. of Electr. & Comp. Engr., University of Arizona, Tucson, AZ. (Wednesday, December 5, 2012)
• Brooks, B.A. and F.E. Cellier (1993), "Modeling of a Distillation Column Using Bond Graphs," Proc. SCS Intl. Conf. on Bond Graph Modeling, La Jolla, CA, pp.315-320. (Wednesday, December 5, 2012)

• 33^rd Lecture note for viewing, one slide per page (PDF) (Wednesday, December 12, 2012)
• 33^rd Lecture note for printing, four slides per page (PDF) (Wednesday, December 12, 2012)
• Chapter 10 of Continuous System Modeling (PDF) (Wednesday, December 12, 2012)
• Cellier, F.E. and A. Fischlin (1982), "Computer-assisted Modeling of Ill-defined Systems," in: Progress in Cybernetics and Systems Research, Vol. 8, General Systems Methodology, Mathematical Systems Theory, Fuzzy Sets, Hemisphere Publishing, pp.417-429. (Wednesday, December 12, 2012)
• Matlab Code to Curve-fit a Logistic Model to the U.S. Census Data (mmps_census.m). (Wednesday, December 12, 2012)

• 34^th Lecture note for viewing, one slide per page (PDF) (Wednesday, December 12, 2012)
• 34^th Lecture note for printing, four slides per page (PDF) (Wednesday, December 12, 2012)
• Double pendulum animation (mmps_32a.avi). (Wednesday, December 12, 2012)
• Pool table animation (mmps_32b.avi). (Wednesday, December 12, 2012)

• 35^th Lecture note for viewing, one slide per page (PDF) (Wednesday, December 12, 2012)
• 35^th Lecture note for printing, four slides per page (PDF) (Wednesday, December 12, 2012)
• Chapter 11 of Continuous System Modeling (PDF) (Wednesday, December 12, 2012)

• 36^th Lecture note for viewing, one slide per page (PDF) (Wednesday, December 19, 2012)
• 36^th Lecture note for printing, four slides per page (PDF) (Wednesday, December 19, 2012)
• Cellier, F.E. (2008), "World3 in Modelica: Creating System Dynamics Models in the Modelica Framework," Proc. 6^th Intl. Modelica Conference, Bielefeld, Germany, Vol.2, pp.393-400. (Wednesday, December 19, 2012)

• 37^th Lecture note for viewing, one slide per page (PDF) (Wednesday, December 19, 2012)
• 37^th Lecture note for printing, six slides per page (PDF) (Wednesday, December 19, 2012)
• Chapter 13 of Continuous System Modeling (PDF) (Wednesday, December 19, 2012)
• Chapter 14 of Continuous System Modeling (PDF) (Wednesday, December 19, 2012)
• Cellier, F.E., A. Nebot, F. Mugica, and A. de Albornoz (1996), "Combined Qualitative/Quantitative Simulation Models of Continuous-Time Processes Using Fuzzy Inductive Reasoning Techniques," Intl. J. General Systems, 24(1-2), pp.95-116. (Wednesday, December 19, 2012)
• Nebot, A., F.E. Cellier, and M. Vallverdú (1998), "Mixed Quantitative/Qualitative Modeling and Simulation of the Cardiovascular System," Computer Methods and Programs in Biomedicine, 55(2), pp.127-155. (Wednesday, December 19, 2012)
• Cellier, F.E. and V. Sanz (2009), "Mixed Quantitative and Qualitative Simulation in Modelica," Proc. 7^th Intl. Modelica Conference, Como, Italy, pp.86-95. (Wednesday, December 19, 2012)

• 38^th Lecture note for viewing, one slide per page (PDF) (Wednesday, December 19, 2012)
• 38^th Lecture note for printing, six slides per page (PDF) (Wednesday, December 19, 2012)
• Moorthy. M., F.E. Cellier, and J.T. LaFrance (1998), "Predicting U.S. food demand in the 20th century: A new look at system dynamics," Proc. SPIE Conference 3369: "Enabling Technology for Simulation Science II," part of AeroSense'98, Orlando, Florida, pp. 343-354. (Wednesday, December 19, 2012)
• Moorthy, M. (1999), "Mixed Structural and Behavioral Models for Predicting the Future Behavior of Some Aspects of the Macro-economy," MS Thesis, Dept. of Electr. & Comp. Engr., University of Arizona, Tucson, AZ. (Wednesday, December 19, 2012)

Homepage