'Homogeneous solution' diaporamas de présentation

Lecture 14: Forced Damped Two Degree of Freedom Systems

Lecture 14: Forced Damped Two Degree of Freedom Systems. For any system we need to build a model figure out the natural frequencies figure out the homogeneous solution(s) figure out how to get particular solutions. We started with undamped, unforced 2DOF systems

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Lecture 23. State Space I

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What's the MATTER with YOU??

What's the MATTER with YOU??. Fluids / Particle Model. Changin States. Mixin and dissolvin. Rate of Dissolvin. Seperating. Hodge Podge. 100. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 400. 500. 500.

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Inductors

Inductors. A coil of wire can create a magnetic field if a current is run through it. If that current changes (as in the AC case), the magnetic field created by the coil will change. Will this changing magnetic field through the coil cause a voltage to be created across the coil? YES!

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EENG 420

EENG 420. Digital Signal Processing Lecture 2. Difference Equations. An important subclass of LTI systems are defined by an N th-order linear constant-coefficient difference equation:. Often the leading coefficient a 0 = 1. Then the output y [ n ] can be computed recursively from.

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Chapter 2: Second-Order Differential Equations

Chapter 2: Second-Order Differential Equations. 2.1. Preliminary Concepts ? Second-order differential equation e.g., Solution: A function satisfies , ( I : an interval). ? Linear second-order differential equation

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Chapter 2: Second-Order Differential Equations

Chapter 2: Second-Order Differential Equations. 2.1. Preliminary Concepts ? Second-order differential equation e.g., Solution: A function satisfies , ( I : an interval). ? Linear second-order differential equation

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Lecture 25 Assorted Control Preparation

Lecture 25 Assorted Control Preparation. Block diagrams. Cruise control. Stability (the simple inverted pendulum). BLOCK DIAGRAMS. Friedland uses a lot of these. Sometimes they are helpful sometimes they are not. He gives symbols for multiply, integrate and add.

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Green's function solution to subsurface light transport for BRDF computation

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Lecture 16 (parts A & B)

Lecture 16 (parts A & B). Inductors Introduction to first-order circuits RC circuit natural response Related educational materials : Chapters 6.4, 7.1, 7.2. Energy storage elements - inductors. Inductors store energy in the form of a magnetic field

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Ch 3.9: Forced Vibrations

Ch 3.9: Forced Vibrations. We continue the discussion of the last section, and now consider the presence of a periodic external force:. Forced Vibrations with Damping. Consider the equation below for damped motion and external forcing funcion F 0 cos ? t .

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Ch 3.9: Forced Vibrations

Ch 3.9: Forced Vibrations. We continue the discussion of the last section, and now consider the presence of a periodic external force:. Forced Vibrations with Damping. Consider the equation below for damped motion and external forcing funcion F 0 cos ? t .

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Lecture 21

Lecture 21. Review: Second order electrical circuits Series RLC circuit Parallel RLC circuit Second order circuit natural response Sinusoidal signals and complex exponentials Related educational materials: Chapter 8.2, 8.3. Summary: Series & parallel RLC circuits. Series RLC circuit:.

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Solutions

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Ch 3.6: Nonhomogeneous Equations; Method of Undetermined Coefficients

Ch 3.6: Nonhomogeneous Equations; Method of Undetermined Coefficients. Recall the nonhomogeneous equation where p , q, g are continuous functions on an open interval I . The associated homogeneous equation is

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Ch 3.6: Nonhomogeneous Equations; Method of Undetermined Coefficients

Ch 3.6: Nonhomogeneous Equations; Method of Undetermined Coefficients. Recall the nonhomogeneous equation where p , q, g are continuous functions on an open interval I . The associated homogeneous equation is

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TEST 1 REVIEW

TEST 1 REVIEW. Single Species Discrete Equations. Chapter 1 in Text, Lecture 1 and 2 Notes Homogeneous (Bacteria growth), Inhomogeneous (Breathing model) x n +1 = ax n + b . Finding solutions Homogeneous: x n = C a n General Solution = Homogeneous Solution + Particular Solution

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Lecture 5: Test 1 review

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Ch 3.6: Variation of Parameters

Ch 3.6: Variation of Parameters. Recall the nonhomogeneous equation where p , q, g are continuous functions on an open interval I . The associated homogeneous equation is

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Mixtures and Solutions Lab Activity

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