Dynamic Systems
This page contains fill-in notes on Dynamic Systems lectures from the courses ME 345 and ME 370.
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01.1 The systems approach
01.2 State.determined systems
01.3 Energy power and lumping
01.4 Mechanical translational elements
01.5 Mechanical rotational elements
01.6 Electronic elements
01.7 Generalized through. and across.variables
01.8 Generalized one.port elements
01.9 Exercises for Chapter 01 intro
02.1 Introduction to linear graphs
02.2 Sign convention
02.3 Element interconnection laws
02.4 Systematic linear graph modeling
02.5 Exercises for Chapter 02 graphs
03.1 State variable system representation
03.2 State and output equations
03.3 Normal trees
03.4 Normal tree to state.space
03.5 State.space model of a translational mechanical system
03.6 State.space model of a rotational mechanical system
03.7 Bridge between state.space and io differential equations
03.8 Exercises for Chapter 03 ss
04.1 Ideal transducers
04.2 Modeling with transducers
04.3 DC motors
04.4 Modeling a real electromechanical system
04.5 DC motor performance in steady.state
04.6 Transient DC motor performance
04.7 Driving motors
04.8 Exercises for Chapter 04 emech
05.1 Superposition derivative and integral properties
05.2 Equilibrium and stability properties
05.3 Vibration isolation table analysis
05.4 When gravity ghosts you
05.5 Exercises for Chapter 05 lti
06.1 Characteristic transient responses
06.2 First.order systems in transient response
06.3 Second.order systems in transient response
06.4 Exercises for Chapter 06 trans
07.1 Solving for the state.space response
07.2 Linear algebraic eigenproblem
07.3 Computing eigendecompositions
07.4 Diagonalizing basis
07.5 A vibration example with two modes
07.6 Analytic and numerical output response example in Matlab
07.7 Simulating state.space response
07.8 Exercises for Chapter 07 ssresp
08.1 Fluid system elements
08.2 Thermal system elements
08.3 Fluid transducers
08.4 State.space model of a hydroelectric dam
08.5 Thermal finite element model
08.6 Exercises for Chapter 08 thermoflu
09.1 Fourier series
09.2 Complex Fourier series example
09.3 Fourier transform
09.4 Discrete and fast Fourier transforms
09.5 Exercises for Chapter 09 four
10.1 Frequency and impulse response
10.2 Sinusoidal input frequency response
10.3 Bode plots
10.4 Bode plots for simple transfer functions
10.5 Sketching Bode plots
10.6 Periodic input frequency response
10.7 Exercises for Chapter 10 freq
11.1 Introduction
11.2 Laplace transform and its inverse
11.3 Properties of the Laplace transform
11.4 Inverse Laplace transforming
11.5 Solving io ODEs with Laplace
11.6 Exercises for Chapter 11 lap
12.1 Poles and zeros
12.2 Exploring transfer functions in Matlab
12.3 ZPK transfer functions in Matlab
12.4 Exercises for Chapter 12 tf
13.1 Input impedance and admittance
13.2 Impedance with two.port elements
13.3 Transfer functions via impedance
13.4 Impedance modeling example in Matlab
13.5 Norton and Th\ evenin theorems
13.6 The divider method
13.7 Exercises for Chapter 13 imp
14.1 Linearization
14.2 Nonlinear system characteristics
14.3 Exercises for Chapter 14 nlin
16.1 Nonlinear Systems in Python
16.2 Nonlinear systems in Matlab
16.3 Nonlinear fluid system example
16.4 Exercises for Chapter 16 sim
01.1 Quadratic forms
01.2 Trigonometry
01.3 Matrix inverses
01.4 Laplace transforms
02.1 Systems with repeated eigenvalues
03.1 Summary of system representations
03.2 Summary of one.port elements
03.3 Laplace transforms
03.4 Fourier transforms
04.1 Euler s formulas