Lecture Notes

Introduction and Review

Subject Introduction ( PDF )

Cable Hoist Example ( PDF 1 ) ( PDF 2 )

Bond Graph Primitives ( PDF - 1.0 MB )

DCPMM Basics ( PDF )

Block Diagrams and Bond Graphs ( PDF )

Pump Model ( PDF 1 ) ( PDF 2 )

Multiports

Electromagnetism ( PDF )

Solenoid ( PDF )

Solenoid and Co-energy ( PDF )

Solenoid and DCPMM ( PDF )

Multiport Capacitor ( PDF )

Thermal Systems

Work-to-heat Transduction ( PDF )

Ideal Gas ( PDF )

Heat Transfer ( PDF )

Thermal Damping ( PDF )

Entropy Production ( PDF )

Linearized Thermal Damping Model ( PDF )
Linearization to articulate the structure of the thermal damping model.

Nonlinear Mechanical Systems

Kinematic Transformations ( PDF )
Effect of displacement-modulated transformers on inertia, damping and stiffness.

Interaction Control ( PDF )

Lagrange Derivation ( PDF )
A derivation of Lagrange’s equation with variational calculus.

Lagrange Continued ( PDF )
The modern addition of conservative forces to the Euler-Lagrange equation.

Modulated Transformers ( PDF )
Kinematic constraints in mechanical systems.

Transmission Lines and Wave-Like Behavior

Transmission Line Models ( PDF )
An alternative formulation of simple models of power transmission lines which may exhibit wave behavior.

Symmetric Junctions ( PDF )
Derivation of zero and one Junctions via scattering variables.

Asymmetric Junctions ( PDF )
Derivation of gyrator and transformer via scattering variables.

Amplification

Bipolar Transistor Amplifier ( PDF )
Analysis of a bipolar transistor showing that (1) amplification is a non-equilibrium phenomenon and (2) the transistor amplifier contains a “hidden” gyrator.

Nodicity ( PDF )
An important behavior of electrical networks generally not found in other domains.

Capstan Amplifier ( PDF )
An example of amplification by modulating a resistor.

Matter Transport

Bernoulli “Resistor” ( PDF )

Pseudo and Convection Bonds ( PDF )
A brief comparison of alternative network representations of matter transport.

Convection ( PDF 1 ) ( PDF 2 )

Hamiltonian Forms

Hamilton and Lagrange ( PDF )

Interaction Stability ( PDF )

Canonical Transformations ( PDF )

Hamilton-Jacobi Theory ( PDF )

Transformation and Integration ( PDF )

Course Info

Learning Resource Types

notes Lecture Notes
group_work Projects with Examples