Dynamic Systems
This page contains fill-in notes on Dynamic Systems lectures from the courses ME 345 and ME 370.
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intro.it The systems approach
intro.sdet State.determined systems
intro.lump Energy power and lumping
intro.mecht Mechanical translational elements
intro.mechr Mechanical rotational elements
intro.ele Electronic elements
intro.genvars Generalized through. and across.variables
intro.genels Generalized one.port elements
intro.exe Exercises for Chapter intro
graphs.intro Introduction to linear graphs
graphs.sign Sign convention
graphs.connect Element interconnection laws
graphs.sysmod Systematic linear graph modeling
graphs.exe Exercises for Chapter graphs
ss.svar State variable system representation
ss.ssmodel State and output equations
ss.graph2nt Normal trees
ss.nt2ss Normal tree to state.space
ss.trans State.space model of a translational mechanical system
ss.rot State.space model of a rotational mechanical system
ss.ss2tf2io Bridge between state.space and io differential equations
ss.exe Exercises for Chapter ss
emech.trans Ideal transducers
emech.transmod Modeling with transducers
emech.dcm DC motors
emech.real Modeling a real electromechanical system
emech.curves DC motor performance in steady.state
emech.dcmtrans Transient DC motor performance
emech.drive Driving motors
emech.exe Exercises for Chapter emech
lti.super+ Superposition derivative and integral properties
lti.equistab Equilibrium and stability properties
lti.vib Vibration isolation table analysis
lti.ghost When gravity ghosts you
lti.exe Exercises for Chapter lti
trans.char Characteristic transient responses
trans.firsto First.order systems in transient response
trans.secondo Second.order systems in transient response
trans.exe Exercises for Chapter trans
ssresp.response Solving for the state.space response
ssresp.eig Linear algebraic eigenproblem
ssresp.eigcomp Computing eigendecompositions
ssresp.diag Diagonalizing basis
ssresp.vibe A vibration example with two modes
ssresp.mixed Analytic and numerical output response example in Matlab
ssresp.sim Simulating state.space response
ssresp.exe Exercises for Chapter ssresp
thermoflu.flu Fluid system elements
thermoflu.therm Thermal system elements
thermoflu.flutrans Fluid transducers
thermoflu.dam State.space model of a hydroelectric dam
thermoflu.fem Thermal finite element model
thermoflu.exe Exercises for Chapter thermoflu
four.series Fourier series
four.fsexa Complex Fourier series example
four.transform Fourier transform
four.dft Discrete and fast Fourier transforms
four.exe Exercises for Chapter four
freq.fir Frequency and impulse response
freq.sin Sinusoidal input frequency response
freq.bode Bode plots
freq.per Periodic input frequency response
freq.exe Exercises for Chapter freq
lap.in Introduction
lap.def Laplace transform and its inverse
lap.pr Properties of the Laplace transform
lap.inv Inverse Laplace transforming
lap.sol Solving io ODEs with Laplace
lap.exe Exercises for Chapter lap
tf.zp Poles and zeros
tf.tfmat Exploring transfer functions in Matlab
tf.zpk ZPK transfer functions in Matlab
tf.exe Exercises for Chapter tf
imp.ip Input impedance and admittance
imp.2port Impedance with two.port elements
imp.tf Transfer functions via impedance
imp.examat Impedance modeling example in Matlab
imp.eqiv Norton and Th\ evenin theorems
imp.divide The divider method
imp.exe Exercises for Chapter imp
nlin.lin Linearization
nlin.char Nonlinear system characteristics
nlin.exe Exercises for Chapter nlin
sim.matlab Nonlinear systems in Matlab
sim.fluid Nonlinear fluid system example
sim.exe Exercises for Chapter sim
math.quad Quadratic forms
math.trig Trigonometry
math.matrix Matrix inverses
math.lap Laplace transforms
adv.eig Systems with repeated eigenvalues
sum.sysrep Summary of system representations
sum.els Summary of one.port elements
sum.lap Laplace transforms
sum.ft Fourier transforms