Dynamic Systems
an introduction
This page contains fill-in notes on Dynamic Systems: an introduction lectures from the courses ME 345 and ME 370.
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01.00 Introduction
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
01.06 Electronic elements
01.07 Generalized through and across variables
01.08 Generalized one port elements
02.00 Linear graph models
02.01 Introduction to linear graphs
02.02 Sign convention
02.03 Element interconnection laws
02.04 Systematic linear graph modeling
03.00 State space models
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
04.00 Electromechanical systems
04.01 Ideal transducers
04.02 Modeling with transducers
04.03 DC motors
04.04 A real electromechanical system
04.05 Steady DC motor performance
04.06 Transient DC motor performance
04.07 Driving motors
04.08 Problems 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
06.00 Transient response
06.01 Characteristic transient responses
06.02 First order systems
06.03 Second order systems
07.00 State space response
07.01 Solving for the state space response
07.02 Linear algebraic eigenproblem
07.03 Diagonalizing basis
07.04 Simulating state space response
08.00 Fluid and thermal systems
08.01 Fluid system elements
08.02 Thermal system elements
08.03 Fluid transducers
08.04 State space model of a hydroelectric dam
09.00 Transfer functions
09.01 Poles and zeros
10.00 Impedance based modeling
10.01 Input impedance and admittance
10.02 Impedance with two port elements
10.03 Transfer functions via impedance
10.04 Norton and Thevenin theorems
10.05 The divider method
11.00 Steady frequency domain
11.01 Fourier series
11.02 Fourier transform
11.03 Frequency and impulse response
11.04 Sinusoidal frequency response
11.05 Bode plots
11.06 Periodic frequency response
11.07 Design problem
11.08 Nonlinear fluid system example
A.00 Mathematics reference
A.01 Quadratic forms
A.02 Trigonometry
A.03 Matrix inverses
A.04 Laplace transforms
B.00 Advanced topics
B.01 Systems with repeated eigenvalues
C.00 Summaries
C.01 Summary of system representations
C.02 Summary of one port elements
C.03 Laplace transforms
C.04 Fourier transforms
D.00 Bibliography