QUESTION (2/2)
1) What are some alternatives to iterative design in control theory?
2) I have a certain plant transfer function PTF(s) that is higher order than two and non-unity numerator.
I want certain characteristics such as a certain damping ratio (zeta).
So I want approximate it as...
QUESTION:
1) Why are Time Response Characteristic's Expressions derived from only from Zero State Equations?
NOTE: Nise Control Systems Engineering 6ed uses step inputs to derive Time Response Characteristics for 1st
and 2nd order ordinary differential equations...
ASSUMPTIONS:
BIBO/stable systems
NOTE: zero here does not mean the roots of the denominator in a transfer function
TRUE/FALSE -Please provide feedback- some answers are based on ODE example listed below
1/True) The Homogenous Solution is either zero or transient.; i.e. it can never be steady...
So, I was beginning to build a new and deeper understanding when I noticed that Particular Solutions can also be transient:
Thus in that scenario, I believe, the Particular Solutions can, jointly, represent the Transient Response. And as expected there isn't a Steady State Response because the...
CONCEPTUAL QUESTIONS:
-Does the Homogenous Solution represent the Transient Response?
Let me specify. For a N-DOF spring, mass, and damper mechanical system:
-Does the Homogenous Solution represent the Transient Response for given mechanical system?
MY ANSWER:
Yes.
ASSUMPTIONS:
-only...
Homework Statement
[/B]
http://www.dartmouth.edu/~sullivan/22files/New Laplace Transform Table.pdf
(see item 26a)
homogenous solution to underdamped in amplitude phase form: (see attached image)
2. Relevant info
- non zero initial conditions: x(t=0) = xo AND dx/dt(t=0) = vo
- unforced...
QUESTION:
In general: when a flow is considered steady does that mean all properties of the flow are steady?
Or: can a flow have steady and unsteady properties?
I think you are totally right about it being on a horizontal plane. This take care of the solution. Wow. Thanks.
I don't know what you mean about the directions, I believe I did show them.
Ok I would agree with you too, however, the problem forces me to do one of two things to get the same result:
1) ignore the weight term. I think some call it the dynamic case.
or
2) the weight term is in fact apart of the total acceleration.
Answer:
Tab = Tdc = sqrt(2)*m*a
Homework Statement
[/B]
If particles at B and C of equal mass m are connected by strings to each and to points A and D as shown, all points remaining in the same horizontal plane. If points A and D move with the same acceleration a along parallel paths, solve for the tensile force in each of...
TERMS:
Slip Plane: is the plane that has the densest atomic packing—that is, has the greatest planar density.
Slip Direction: corresponds to the direction in this plane that is most closely packed with atoms—that is, has the highest linear density.
NOMENCLATURE:
θ = angle of the slip plane as...
Wow that makes a lot of sense! Though I still have some questions and responses to your answers.
Answer 1&2: dT/dy = 0; no temperature difference between top and bottom! It's the temperature difference that drives the heat flow.
Answer 3: Although the heat can still move in that additional...
1. My Conceptual Questions (5) is at 3.
CONSIDER:
Case 1: two dissimilar slabs of material (say slab 1 and slab 2) connected in series (bonded at their interface). There is a temperature difference: T1 @ slab1 and T2 @ slab2.
Case 2: two dissimilar slabs of material bonded together, i.e...