- 62
- 122 174
ME360W15S01
Приєднався 10 січ 2015
ME 360 Winter 2015 Section 01
Modeling, Analysis, and Control of Dynamic Systems
Department of Mechanical Engineering
University of Michigan
Instructor: Prof. Kuo
Modeling, Analysis, and Control of Dynamic Systems
Department of Mechanical Engineering
University of Michigan
Instructor: Prof. Kuo
Laplace and Fourier transforms defined
Table of Contents:
00:00 - Laplace and Fourier transforms
02:03 - Prism as Fourier transform
02:37 - Applications
04:50 - Sum of sinusoids
05:52 - Square wave as sum of sines
06:47 - Why Fourier helpful
07:09 - Summary Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
00:00 - Laplace and Fourier transforms
02:03 - Prism as Fourier transform
02:37 - Applications
04:50 - Sum of sinusoids
05:52 - Square wave as sum of sines
06:47 - Why Fourier helpful
07:09 - Summary Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Переглядів: 4 560
Відео
Closed loop t.f. and DC gain
Переглядів 3,2 тис.7 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Lecture 26 Poles and zeroes
Переглядів 4509 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Derive closed loop transfer function
Переглядів 4,2 тис.9 років тому
Table of Contents: 00:00 - Marker Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Lecture 25 Integral control
Переглядів 1,5 тис.9 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Lecture 24 Proportional derivative control
Переглядів 2,3 тис.9 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Lecture 23 Feedback control
Переглядів 6399 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Lecture 22 Laplace transform properties
Переглядів 3149 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Laplace transform as an integration
Переглядів 2609 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Review asymptotes for frequency response
Переглядів 8369 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Laplace example solve second order
Переглядів 1349 років тому
Table of Contents: 01:25 - Example 2A 05:44 - Example 2B Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Bode plots Estimating sinusoidal response any frequency
Переглядів 4859 років тому
Table of Contents: 00:00 - Example 1 Approximate mag & phase 04:08 - Example 2 Approximate mag & phase 07:10 - Sinusoidal response 08:23 - Exact mag & phase, summary Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of...
Bode plot examples
Переглядів 9909 років тому
Table of Contents: 00:00 - Corners & starting pts 02:36 - Ex 1 Asymptotes 03:53 - Ex 1 Sketch 05:36 - Ex 2 Asymptotes 06:30 - Ex 2 Sketch 07:32 - Ex 3 Corners 08:39 - Ex 3 Asymptotes 11:03 - Ex 3 Sketch Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems,"...
Lecture 21 Laplace transform barebones
Переглядів 2969 років тому
Table of Contents: 00:00 - Solve diff'l eqns 01:05 - Example step response 02:32 - Example sinusoidal response 04:17 - Example impulse response 05:28 - Summary Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michi...
Lecture 19 Resonant systems & low pass filter
Переглядів 2,3 тис.9 років тому
Video supplementary lectures from "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015. Supplementary video lectures for "Modeling, Analysis, and Control of Dynamic Systems," ME 360 Winter 2015, at University of Michigan.
Lecture 20 Introduction to linearization
Переглядів 4729 років тому
Lecture 20 Introduction to linearization
State variable form extra example 2nd order
Переглядів 1,5 тис.9 років тому
State variable form extra example 2nd order
More examples 1st, 2nd order frequency response
Переглядів 1,2 тис.9 років тому
More examples 1st, 2nd order frequency response
Frequency response second-order & corner values
Переглядів 3,6 тис.9 років тому
Frequency response second-order & corner values
Lecture 15 Electromechanical systems
Переглядів 6 тис.9 років тому
Lecture 15 Electromechanical systems
Electrical Kirchoffs Voltage Law with example 1
Переглядів 829 років тому
Electrical Kirchoffs Voltage Law with example 1
Electrical Kirchoffs Current Law with example 1
Переглядів 1249 років тому
Electrical Kirchoffs Current Law with example 1
Lecture 13B Voltage divider example 2
Переглядів 1329 років тому
Lecture 13B Voltage divider example 2
Hello Professor, I am student in the UK and I have a question regarding absolute or relative displacments. When solving similar equations to this is either relative or absolute displacements a default? For example in the classic quarter car suspension system what type of displacement should a student use? is the choise somewhat arbitrary so long as you are consistent?
It depends on the problem. For a quarter car suspension, absolute displacement is what the car passengers experience. But relative displacements may be more helpful for describing the shock absorbers, where force depends on the displacement between the ends. Absolute and relative displacements can be converted into each other, so just make a guess what is most relevant to your problem, and convert if necessary.
Very beautiful explanation
thank you so much sir love from PAKISTAN
Where can I find the main lecture of this exercise?
Kosice
D J
I see you on the dark side of the Moon :)
Thankyou sir
Voltage across an inductor is proportional to the rate of change in current (i.e. V_L = L*di_L/dt) not L*i_L
Here we use "s" as the derivative operator, so when we write "L s i" that means L times derivative of the current. The variable s may also be treated as the complex frequency of the Laplace transform. The transfer function in the video is correct.
best method to overcome from sign problem of forces
very useful Thank you !
is Zdot also a matrix then? Also, first