The dose–response relationship, or exposure–response relationship, describes the magnitude of the response of an organism, as a function of exposure (or doses) to a stimulus or stressor (usually a chemical) after a certain exposure time. Dose–response relationships can be described by dose–response curves. This is explained further in the following sections. A stimulus response function or stimulus response curve is defined more broadly as the response from any type of stimulus, not limited to chemicals.
Hi,
I'm analyzing a 3 dof undamped system with discrete springs and masses. Three of the springs have time-dependent stiffness, following periodic law (with period T), they are modulated at the same frequency but with a phase difference of 120 deg one from the other.
So this is my system:
(M *...
I have tried to use the intrinsic' fraction' function in Fortran but have failed to understand how it works. I thought that it would return the fractional part of a real number, but when I ran a few numbers through it, I got something that was a far cry from what I expected. For example, I...
1. Homework Statement
For the following circuit, use KVL to write a differential equation in terms of current i and solve for the source-free current response if v(0+) = 40 V.
Homework Equations
$$(s-s_1)Ae^{st}=0$$
$$i=C(d/dt)v$$
$$v=Ae^{s_1*t}$$
$$i=(-1/R)V_0e^{\frac{-t/}{RC}}$$
The...
This one is for people working with electromagnets (more specific, DC) etc. I have a few questions that I am struggling with:
I am quite comfortable with the concept of the response time (time constant) of a coil in free space, μ0 =4π x 10-7 . The thing I am struggling with is the response time...
I saw in some books, that:
Y(s)/X(s) = H(s)
where,
Y(s) is the laplace of the output
X(s) is the laplace of the input
H(s) is the laplace of impulse response.
How to prove it? In the book Benjamin Kuo, he only mentions it without proof, and did not find it in the book of Oppennheim.
Homework Statement
In given network (voltage source V & switch K) , a steady state is reached with the switch k open .At time t=0 , switch k is closed. Find voltage across C before switch is closed? and i1 &i2 at t=0+.Also values of di1/dt and di2/dt at t=0.Homework EquationsThe Attempt at a...
Hi All ,
I was thinking about the time domain unit step response of ideal series LC crcuit. If both cap and inductor are ideal and unchrged initially and I am looking at voltage across capacitor.
Connecting a battery to LC circuit at t=t1 , would the circuit oscillate ?
I am not able to...
Hi, I have a discrete system with input x(t) and output y(t).
Using the formula frequency response H(f) = y(f)/x(f) in the Fourier domain.
Does this mean to find the frequency response I have to take the Fourier Transform of
y(t) to get y(f) and divide it by the Fourier transform of x(t) ...
I am having a play about with the differential amplifier using a LM324 and have shorted both inputs and set them to 3V sine wave at 100Hz.
i understand that in a ideal op-amp the output should be 0, how ever i am unsure of what is happening at the output...
i increase the frequency every 1Khz...
Homework Statement
I have a problem where the circuit is as follows: (pic attached I hope) but if you can't see it it's just a power source (AC), resistor and inductor with 2 terminals across the inductor (from were you measure the voltage).
I want to derive the response function, and I am...
I get close to the answer but just not seeing where the integers in the answers are coming from, perhaps forgetting a constant? This is a EE circuit analysis class.
Homework Statement
Given y(t) = dx(t)/dt
a. Find x(t) if y(t)=
0 : t<0;
e^{-t} : t>0
b. Find x(t) for t=1 if x(1)=1 and...
Hi:
I'm building a computer simulation for a 3 gear train system. So far the gears rotate with mouse movement horizontally. Now I'm adding a fictitious motor and braking system to start/stop rotation with mouse clicks. I multiplied the rotation angle by [1-e(-t/TC)] to simulate exponential...
Homework Statement
Sketch, on a set of common axes, waveforms to represent the transient
response of circuits having transfer functions with the following parameters:
a) ζ = 0.5, ω = 1×10^3 rad s^-1
b) ζ = 0.2, ω = 2×10^3 rad s^-1
c) ζ = 2, ω = 1×10^3 rad s^-1
Homework...
Homework Statement
I'm having a slight problem with the question below.
A temperature control process has a first-order response with a step response time of 12 seconds. In selecting a temperature sensor for the control system for the process, for what maximum value of sensor time-constant...
Hello, I am an amateur designing a drone.
The mechanism which stabilizes it, has a worm gear connected to a gear which moves the motor, i.e in the system we have
1: Servo(with built in gears) 2: worm gear which servo moves 3: gear which worm gear moves 4: another gear which gear number 3...
Hi,
I am a beginner with the use of relap. So this might be a bit silly. I am studying the heat transfer between a fuel rod and a single channel of coolant. One of the inputs for the heat structure is the direct moderator heating multiplier. What is that and how do I find its value?
Thanks...
I have this transfer function which i don't know why it is overshooting due to an step input.
http://snag.gy/Vh1SM.jpg
Could someone explain why it does that.
It's it a close loop transfer function, where I've designed a controller for it, but for some reason, eventhoug all my poles...
Homework Statement
2a) here: http://media.collegeboard.com/digitalServices/pdf/ap/ap14_frq_Physics_C-E-M.pdf
Homework Equations
The Attempt at a Solution
Would the answer be:
stays same -- increasing -- decreasing -- stays same?
By Lentz's law, then right hand rule?
I think I mostly understand how this works, and it makes intuitive sense. However, I'm a little bit confused by one step in the proving of this.
On the second page of the attached PDF, there is this statement:
x' + kx = (r/k + c2)δ(t) ... (followed by the cases of t<0 and t>0
What comes...
Hi
I am trying to model SHM in Simulink as shown here:
http://pundit.pratt.duke.edu/wiki/Simulink/Tutorials/DiffEq
I have tried using different values of spring constant and damping to get instant response to the input force. I am measuring the displacement calculated by SHM. The force changes...
Homework Statement
Find the zero input and zero state response for the following system
y''(t) + 3y'(t) + 2y(t) = 2 x'(t) - x(t-1)
where x(t) = (2e^-t)*u(t)
U(t) is the step function
Homework Equations
Y = Yh + Yp
Y = Yzsr + Yzir
The Attempt at a Solution
I can't find...
Homework Statement
for the circuit below, compute frequency response H(w) using method of complex impedence. then if x(t) is input signal (we have equation but, say it is A*sin(wt), find y(t).
Homework Equations
transfer function H(w)=vout/vin
The Attempt at a Solution
R || L =...
I'm doing my best to understand signals and systems. So I will give an example of what I'm talking about. you have a pressure transducer that has a 24vdc power supply and a voltage of 0-5vdc to measure the change in pressure, with the 0-5vdc connected to an analog to digital converter. With the...
Homework Statement
Homework Equations
The Attempt at a Solution
I understand everything except how they got i(∞). It seems like they used current division on 3A. But where are they applying current division and where did they get 3A? Also, in the last step, they magically added u(t). Where...
Homework Statement
I attached a picture of the circuit.
f(t) = (e-t)u(t), VC(0-) = 2V, iL(0-) = 1A
Obtain an expression for the total response, y(t), for the given system by finding
the natural and the forced responses.
Homework Equations
v(t) = Ri(t)
v(t) = Ldi(t)/dt
v(t) =...
Homework Statement
Numerically integrate and plot the response of an underdamped system determined by m= 100 kg,
k= 20,000 N/m, and c = 200 kg/s, subject to the initial conditions of x0 = 0.01 m and v0 = 0.1 m/s, and the applied force F(t)=150cos(5t). Then plot the exact response.
Homework...
Homework Statement
I am having some problems to derive Inverse Fourier transform of sinc function & exponential function. It's actually for getting the Impulse response from the given frequency response [which comprises of both sinc function & exponential function]. Also need to know the...
Homework Statement
1. An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth, frictionless wall. If the ladder has a mass of 20 kg and it makes an angle of 60° with the ground, find the force of friction of the ground on the ladder.
Homework Equations...
Homework Statement
Find the expression of the current "i" by terms of time.
The answer is 3e^(20t) Amps
Homework Equations
i(t)=I_final+(I_initial-I_final)*e^(-t/τ)
The Attempt at a Solution
I have found the initial current as 3 amps. However, after the switch had been changed for too long...
1. I have to use Simulink to check the step response of a state feed-back design (controller) and state estimator (observer). I did the problem and got matrices that I need for the desired poles but I'm not sure how to use Simulink to do them.3. I really don't want to post the exact vales to my...
I'm working on a problem which has two parts.
1. Find the frequency response function H(f) for a circuit. A hint given is to find H(s) first and then plug in s=j2\pi f to get H(f).
2. Find v_{out}(t), which is the response of the LTIC system to the periodic input signal v_{in}(t) =...
y(n) = a * y(n-1) + K * b * x(n-1) + K * x(n), where |a| < 1.
(a) Calculate its impulse response, h(n).
the homogenous equation is l^n-1(l-a) = 0 => 1 = a
so h(n) = [ka^n ] u(n)
(b) Calculate its step response.
I can't seem to find any examples online and my book says nothing...
I'm working on a problem and one part of it is finding the zero-input response of a system in the frequency (or "s") domain.
The zero-state response can be easily found in the frequency domain, it's just:
Y_{zs} = X(S)H(S)
But I can't for the life of me find the equation for calculating...
Homework Statement
Consider the frequency response H(e^jw) = e^j3w(5 + cos(w) + 2cos(w)).
Find the impulse response h[n].
Homework Equations
H(e^jw) = Ʃ(from k = 0 to M) bk * e^-jwk = Ʃ(from k = 0 to M) h[k] * e^-jwk
The Attempt at a Solution
So I'm not sure at all how to get...
Homework Statement
http://imgur.com/tJEPgbA
http://imgur.com/tJEPgbA
Homework Equations
The Attempt at a Solution
I started by focusing on the left Op-amp provided.
My methodology to solve this question was essentially to assume a virtual short circuit so that the negative...
Homework Statement
3. (12 pts) Consider the causal FIR filter with {bk } = {1, 4, 5, 4, 1}.
(a) What is the impulse response of this filter (in terms of delta functions)?
(b) What is the frequency response of this filter? Simplify using Euler’s inverse formula.
(c) What is the output y[n] of...
Hi all
I am struggling to create a response surface for some data I collected. I have been asked to create a response surface to get a better understanding of how the two inputs of interests affect the output.
I threw together a multiple linear regreession model since it was simple but my...
I wasn't exactly paying much attention during our lab, partially because it was right in the middle of midterms and I wanted to solely focus on those. Now it is coming back to bite me as I am not entirely sure how to complete my lab report, or the theory behind the lab really.
If you would like...
The transfer function of a passive bandpass filter has one zero and two poles.
The filter is:
Signal -> L -> C -> R -> Gnd,
where the signal is the input and the voltage across R is the output.
H(s) = \frac{sRC}{s^2LC+sRC+1}
Initial value theorem states that it's impulse response has...
Hi, I have been given a question which involves analysis of a series RC circuit. The system in question has a 4Ω resistor in series with a 1000μF Capacitor (the capacitor is to be considered as completely uncharged before t=0). There is a 12V supply in the circuit. At t=0, a switch is...
Homework Statement
I have a circuit containing an inductor, 2 resistors and diode in series however there is also a switch.
The Attempt at a Solution
I thought that when the switch is closed there would be no current flowing through the right side of the circuit (resistor and...
Homework Statement
=137200878&filters[recent]=1&sort=1&o=0"]http://s741.photobucket.com/user/pforpashya/media/studybitch/untitled_zps4cac3f38.png.html?filters[user]=137200878&filters[recent]=1&sort=1&o=0
Homework Equations
The Attempt at a Solution
Well I already got the solution and also...
A clinical overview of diet and measures of inflammation response - like C Reactive Protein levels.
http://www.ncbi.nlm.nih.gov/pubmed/21139128
This shows a basis for generating an Inflammation index for foods. The higher index number the more inflammation was supressed in ~500 test subjects...
Homework Statement
Car Dynamics
f(t)→ \frac{\frac{1}{M}}{s+\frac{D}{M}}→y(t)
Applied Force Velocity
Homework Equations
M=1,000 kg and D=1000 kg/s
Where f(t) represents the input force and y(t) is the output velocity. M is the Mass and D...
1. Homework Statement
For this problem, the diagram of the circuit is attached. It was assigned to find the frequency response function of the circuit.2. Homework Equations
E_o/E_i= -Zf/Zi3. The Attempt at a Solution
I know for the top branch of the circuit, it has a negative feedback loop...
Homework Statement
In the above diagram,
iin(t) = -0.5u(-t) + 2u(t) A
R = 2 Ω
L = 1 H
C = 8 mF
Find the zero-input, zero-state, and complete responses of vC(t) and iL(t) for t > 0.
Homework Equations
σ = R/2L for series RLC circuits
ωn = 1/(sqrt(LC)) for RLC circuits
ωd =...
Following on from my (still not quite solved) question here: Calculating event time using gsl_poly_solve_quadratic
I'm now looking to calculate the collision response (new linear velocity vector) for the sphere after a collision with a line (rail).
The current code I'm extending has two...