# Dynamic Systems

an introduction

This page contains fill-in notes on Dynamic Systems: an introduction lectures from the courses ME 345 and ME 370.

For corresponding source code (Jupyter, Matlab, Python, etc.), see the source page.

## Single file ## Individual lecture files

Click the thumbnails on the notes below to get a pdf version. 01.01 The systems approach 01.02 State determined systems 01.03 Energy power and lumping 01.04 Mechanical translational elements 01.05 Mechanical rotational elements 01.07 Generalized through and across variables 01.08 Generalized one port elements 02.01 Introduction to linear graphs 02.03 Element interconnection laws 02.04 Systematic linear graph modeling 03.01 State variable system representation 03.02 State and output equations 03.03 Graphs to state space I normal trees 03.04 Graphs to state space II the algorithm 03.05 State space model of a translational mechanical system 03.06 State space model of a rotational mechanical system 03.07 Between state space and io differential equations 03.08 Exercises for Chapter 03 04.00 Electromechanical systems 04.02 Modeling with transducers 04.04 A real electromechanical system  04.06 Transient DC motor performance 04.08 Exercises for Chapter 04 05.00 Superposition stability etc. 05.01 Superposition derivative and integral properties 05.02 Equilibrium and stability properties 05.03 Vibration isolation table analysis 06.01 Characteristic transient responses 06.03 Second order systems 07.00 State space response 07.01 Solving for the state space response 07.02 Linear algebraic eigenproblem 07.04 Simulating state space response 08.00 Fluid and thermal systems 08.01 Fluid system elements 08.02 Thermal system elements 08.04 State space model of a hydroelectric dam 10.00 Impedance based modeling  10.02 Impedance with two port elements 10.03 Transfer functions via impedance 10.04 Norton and Thevenin theorems  11.03 Frequency and impulse response 11.04 Sinusoidal frequency response 11.06 Periodic frequency response 11.08 Nonlinear fluid system example A.00 Mathematics reference B.01 Systems with repeated eigenvalues C.01 Summary of system representations C.02 Summary of one port elements