Calendar · Lecture Notes
MIT OpenCourseWare
Modeling and Simulation of Dynamic Systems
- Instructor
- Prof. Neville Hogan
- Term
- Fall 2006
- Level
- Graduate
- What's inside
- 1 exam · 1 solution · 1 lecture note · 1 reading · 85 other files · 5 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 2.141 Modeling and Simulation of Dynamic Systems, Fall 2006, Prof. Neville Hogan — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Readings
7 files
- Reading Assignment 1 Download
- Discussion of System Order (Courtesy of Jooeun Ahn. Used with permission.) Download
- Reading Assignment 2 Download
- Reading Assignment 3 Download
- Reading Assignment 4 Modulated transformers, Lagrange’s equations and a paper on interaction control. Download
- Reading Assignment 5 On wave-like and diffusive behavior. Download
- Reading Assignment 6 On matter transport and reaction kinetics. Download
Lecture Notes
39 files
- Subject Introduction Download
- Cable Hoist Example (PDF 1) Download
- Cable Hoist Example (PDF 2) Download
- Bond Graph Primitives Download
- DCPMM Basics Download
- Block Diagrams and Bond Graphs Download
- Pump Model (PDF 1) Download
- Pump Model (PDF 2) Download
- Electromagnetism Download
- Solenoid Download
- Solenoid and Co-energy Download
- Solenoid and DCPMM Download
- Multiport Capacitor Download
- Work-to-heat Transduction Download
- Ideal Gas Download
- Heat Transfer Download
- Thermal Damping Download
- Entropy Production Download
- Linearized Thermal Damping Model Linearization to articulate the structure of the thermal damping model. Download
- Kinematic Transformations Effect of displacement-modulated transformers on inertia, damping and stiffness. Download
- Interaction Control Download
- Lagrange Derivation A derivation of Lagrange’s equation with variational calculus. Download
- Lagrange Continued The modern addition of conservative forces to the Euler-Lagrange equation. Download
- Modulated Transformers Kinematic constraints in mechanical systems. Download
- Transmission Line Models Download
- Symmetric Junctions Derivation of zero and one Junctions via scattering variables. Download
- Asymmetric Junctions Derivation of gyrator and transformer via scattering variables. Download
- Bipolar Transistor Amplifier Download
- Nodicity An important behavior of electrical networks generally not found in other domains. Download
- Capstan Amplifier An example of amplification by modulating a resistor. Download
- Bernoulli “Resistor” Download
- Pseudo and Convection Bonds A brief comparison of alternative network representations of matter transport. Download
- Convection (PDF 1) Download
- Convection (PDF 2) Download
- Hamilton and Lagrange Download
- Interaction Stability Download
- Canonical Transformations Download
- Hamilton-Jacobi Theory Download
- Transformation and Integration Download
Assignments
- Assignment 1 Download
- Assignment 2 Download
- Assignment 3 Download
- Assignment 4 Download
- Assignment 5 Download
- Assignment 6 Download
Projects
- Pump Fault Detection and Diagnosis (FDD) Based on Electrical Startup Transient (Courtesy of Peter Armstrong. Used with permission.) Download
- Parameterization, Analysis and Simulation of a Heat Gun (Courtesy of Thomas Bowers. Used with permission.) Download
- Stirling Engine (Courtesy of Marten Byl. Used with permission.) Download
Study Materials
32 files
- Some Useful Definitions Download
- Bond Graph Notation for Physical System Models Download
- Ideal Dissipative Elements Download
- Ideal Power Sources Download
- Ideal Symmetric Junction Elements Download
- Generalized Energy Variables Download
- Basic Bond Graph Notation Download
- Examples: First-Order Systems Download
- Real Power Sources: Static Characteristics Download
- Hamiltonian Systems: Ideal Oscillators Download
- Choice of State Variables Download
- Example: A Non-Oscillating Second-Order System Download
- Dependent Energy Storage Elements Download
- Causality and Model Formulation Download
- Example: Scotch Yoke Download
- Example: Wheel Download
- Example: Gear Pump Download
- Magnetic Electro-mechanical Machines Download
- Physical Basis of Analogies (Equivalences) Download
- Examples of Equivalences Download
- Example: Hydraulic Ram Download
- Momentum-based Fluid-mechanical Power Transduction: Vacuum Cleaner Download
- State Equation Derivation Download
- Causality Assignment Download
- Substitution Methods for Deriving System Equations Download
- State Variables and Energy Download
- Models with Nonlinear Energy Storage Elements: Energy Variables Download
- Models of Mechanical Systems: Lagrangian Variables Download
- Ideal Asymmetric Junction Elements Download
- Junction Elements in Network Models Download
- Quiz Download
- Solution to Quiz Download
Course outline
Calendar · Lecture Notes
Lecture 2: Review: Network Models of Physical System Dynamics Bond-graph Notation
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Lecture 3: Review: Computability and Causality Block Diagrams from Bond Graphs
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Lecture 4: Review: Interaction between Domains and Equivalent Dynamic Behavior
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Lecture 5: Energy-storing Domain Coupling Multi-port Capacitor Maxwell’s Reciprocity
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Lecture 6: Energy and Co-energy Legendre Transformation Intrinsic Stability
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Lecture 7: Magnetism and Electro-mechanical Transduction
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Lecture 8: Simple Thermodynamics Work-to-heat Transduction
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Lecture 9: Ideal Gas Models Co-energy Functions and Causality
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Lecture 10: The 2nd Law of Thermodynamics Multi-port Resistors
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Lecture 11: Heat Transfer Models Thermal Damping
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Lecture 12: Nonlinear Mechanical Systems Modulated Transformers and Gyrators
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Lecture 13: Lagrangian Mechanics Coordinates, State Variables, Energy Variables
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Lecture 14: Thévenin and Norton Equivalent Networks Impedance Control
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Lecture 15: Nonlinear Mechanical Transformations and Impedance Control
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Lecture 16: Transmission Lines Diffusion and Wave Behavior Physical-model-based Control
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Lecture 17: Non-equilibrium Multi-port Resistors Nodicity
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Lecture 18: Amplifying Processes Small-signal and Large-signal Models
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Lecture 19: Thermodynamics of Open Systems Convection and Matter Transport
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Lecture 20: Matter Transport 2nd Law in Non-heat-transfer Processes Throttling and Mixing
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Lecture 21: Simple Fluid Mechanics The “Bernoulli Resistor” and “Pseudo-bond-graphs”
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Lecture 22: Chemical Reaction and Diffusion Systems Gibbs-Duhem Equation
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Lecture 23: Causal Path Analysis Control-relevant Properties: Zero Dynamics, Relative Degree
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Lecture 24: Passivity and Interaction Stability Hamiltonian Mechanics
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Lecture 25: Scattering Variables Power-continuous Junctions Tellegen’s Theorem
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Lecture 26: Term Project Presentations
Calendar · Lecture Notes
Lecture 27: Term Project Presentations (cont.)
MIT OpenCourseWare, Prof. Neville Hogan, 2.141 Modeling and Simulation of Dynamic Systems, Fall 2006.
License: CC BY-NC-SA 4.0 · Edition: Fall 2006 · Open the original course on OCW ↗
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