Study Materials

This page contains a collection of introductory notes on modeling, provided as background material for the lectures, plus an old quiz and solution.

Introductory Modeling Notes

Some Useful Definitions (PDF)

Bond Graph Notation for Physical System Models (PDF)

Ideal Dissipative Elements (PDF)

Ideal Power Sources (PDF)

Ideal Symmetric Junction Elements (PDF)

Generalized Energy Variables (PDF)

Basic Bond Graph Notation (PDF)

Examples: First-Order Systems (PDF)

Real Power Sources: Static Characteristics (PDF)

Hamiltonian Systems: Ideal Oscillators (PDF)

Choice of State Variables (PDF)

Example: A Non-Oscillating Second-Order System (PDF)

Dependent Energy Storage Elements (PDF)

Causality and Model Formulation (PDF)

Example: Scotch Yoke (PDF)

Example: Wheel (PDF)

Example: Gear Pump (PDF)

Magnetic Electro-mechanical Machines (PDF)

Physical Basis of Analogies (Equivalences) (PDF)

Examples of Equivalences (PDF)

Example: Hydraulic Ram (PDF)

Momentum-based Fluid-mechanical Power Transduction: Vacuum Cleaner (PDF)

State Equation Derivation (PDF)

Causality Assignment (PDF)

Substitution Methods for Deriving System Equations (PDF)

State Variables and Energy (PDF)

Models with Nonlinear Energy Storage Elements: Energy Variables (PDF)

Models of Mechanical Systems: Lagrangian Variables (PDF)

Ideal Asymmetric Junction Elements (PDF)

Junction Elements in Network Models (PDF)

Old Quiz for Study

Quiz (PDF)

Solution to Quiz (PDF)