• 42 Pages Lecture 3 on Dynamical Systems
    Lecture 3 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapter 3: Standard Forms for System Models StateVariables A common way to model systems is using statevariables: y y g independent variables that completely describe the system response for all t t 0 given knowledge of the

  • 29 Pages Lecture 4 on Dynamical Systems
    Lecture 4 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapter 4: Block Diagrams and Computer Simulation Block Diagrams A block diagram is an interconnection of: Blocks representing math operations Wires representing signals (info.) and their flow Commonly used to analyze/simul

  • 54 Pages Lecture 7 on Dynamical Systems
    Lecture 7 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapter 7: Transform Solutions of Linear Models The Laplace Transform Converts systems or signals from the real time domain, e.g., functions of the real variable t, to the complex frequency domain, e g functions of the doma

  • 39 Pages Lecture 8 on Dynamical Systems
    Lecture 8 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapter 8: Transfer Function Analysis The System Transfer Function Consider the system described by the nth-order I/O eqn.: y ( n ) + an 1 y ( n 1) + + a0 y = bmu ( m ) + + b0u Taking the Laplace transform of the system eq

  • 50 Pages Lecture 9 on Dynamical Systems
    Lecture 9 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapter 9: Developing Linear Models From there to here. From here to there there. Nonlinearities are everywhere. Linearization of Nonlinear Elements Most real world systems have significant nonlinear elements The objective

  • 41 Pages Lecture 5 on Dynamical Systems
    Lecture 5 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapter 5: Modeling Rotational Mechanical Systems Common Variables Used Assume 1 rotational DoF per mass i e all motion scalar mass, i.e., Angular Displacement: (t ) [rad] d (t ) [rad/s] Angular Velocity: (t ) = dt d (t )

  • 39 Pages Lecture 2 on Dynamical Systems
    Lecture 2 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: DynamicalSystems y y Chapter2:ModelingTranslational Chapter 2: Modeling Translational MechanicalSystems CommonVariablesUsed Assumes1DoFpermass,i.e.,allmotionscalar [ ] Displacement: x(t ) [m] Displacement: Velocity: v(t ) dx(t ) [m/s] dt d

  • 89 Pages Lecture 6 on Dynamical Systems
    Lecture 6 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: DynamicalSystems Chapter6:ModelingElectricalSystems CommonElectricalVariablesUsed t Charge: q(t ) q (t0 ) i ( ) [coulombs (C)] t0 dq (t ) [amperes (A)] Current: i (t ) dt Voltage[Electromotiveforce(EMF)]: e(t ) [volts (V)] dw(t ) [watts (

  • 26 Pages Lecture 10 on Dynamical Systems
    Lecture 10 On Dynamical Systems

    School: Clarkson

    Course: Dinamic Sistems

    EE/ME/AE324: Dynamical Systems Chapters 1011: Electromechanical, Thermal and Fluid Systems Electromechanical Coupling by Magnetic Fields current-carrying Many electromechanical devices contain current carrying wires that can move within a magnetic field,

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