I want to do an investigation on how the damping of a trailer when it is moved horizontally. I saw a video of a toy car with a trailer and someone changing the weight distribution on the trailer. This change led to a big difference in the oscillation patterns of the trailer when moved. (the...
Homework Statement
I need to complete a mathematical model of a shock absorber, not in the frequency sense but by calculating the damping force due to the resistance in the valves.
For an orifice there seems to be two ways of calculating the force/pressure drop
1). Discharge coefficient, this...
Homework Statement
A beam of $$^{39}K$$ atoms is slowed with a Zeeman slower with laser light tuned to the $$4s^2S_{1/2} --4p^2P_{3/2}$$ transition with $$F=2, m_F=2 -> F'=3,m_{F'}=3 (\lambda =767nm)$$ Nuclear spin $$I=3/2$$. The most probably velocity the atoms escape from the oven with is...
I have constructed a torsional balance, which basically consists of a torsional spring, and a damper. I model this as a spring mass damper system. And it is used to measure thrust of some propulsion system.
This is how the system looks like. I am just very eager to find out, how to model the...
Homework Statement
x''+b*x'+k*x=k*y+b*y' y=cos(omega*t)
k is fixed, b - damping constant slowly increases.
How does increasing the damping constant b affect the resonance peak?
2. The attempt at a solution
Well, I thought the answers:
It significantly decreases the height of the...
Homework Statement
I don't have a specific question, but I try to calculate very easy on a simple Gokart in a project. I try to figure out if there is a way to approximately determine what the damping ability of rubber wheels is because I don't have any suspension on it.
Homework Equations
I...
Homework Statement
5. In the spectacular sport of bungee jumping,, a light elastic cord (a bungee cord) is tied tightly around the ankles of someone who jumps from a bridge of height H to which the other end of the cord is attached. The length of the cord is calculated so that the jumper, of...
Homework Statement
I am solving for the damping constant (b). The amplitude has decreased to 80% of its original height (0.1m) after 10 oscillations. The mass is 2 kg, k is 5000 N/m, w is 50 rads/s, T = pi/25 s.
Homework Equations
x = 0.1cos(50t)
v = -5sin(50t)
a = -250cos(50t)
The Attempt at...
Homework Statement
Determine the "Damping Constant and Time Function"
v(t)= 8ε^-106t
Homework Equations
∝=Damping Constant =
1/∝=Time Contstant = 1/DC
The Attempt at a Solution
-848ε^-106t = DC then 1/DC = *1.087x10^-49
It does not look right...Is the e in my calculator the same...
http://imgur.com/a/8QjoW
http://imgur.com/a/8QjoW
Hello-
I am trying to determine the dynamics of this linearly-damped hinge. Assuming that:
v(0) = 0
damping constant = b
door has mass = m
I was able to determine that:
∑Fx = -Fd * cos(45-θ/2) + Rx = m*dvx/dt
ΣFy = -Fd * sin(45-θ/2) - Fg +...
Hello!
I am a university student working on a project regarding a piezoelectric patch transducer, and RLC modelling of said transducer.
Edit: After reading the rule post i think i should clarify this is not coursework homework, this is a thesis project.
The short version of my question is how...
Homework Statement
Here is the transfer function of a buck converter I derived:
What I need to do next is obtain equations for w0 and ζ. I know how to do this for equations that follow the general form:
But in this case I just can't figure out exactly how to do it. How do I find a...
Hello i was looking at the damper CR3-100 as seen in the pic. Howver from the tech sheet given i cudnt make out what's the cutoff freq of this damper...i mean which is the frequency beyond which it doesn't let the frequency pass...what to make of this KN/m value?
Hello everyone,
I am trying to design an element that its purpose is providing stiffness and damping. The material that I wish to use is rubber.
My question is, how can we calculate the damping coefficient (c) for the calculation of the term c*dx/dt, when we know the loss factor of the...
Homework Statement
I was doing a question about resonance of sound box connecting to a tuning fork. It asks why the sound lasts for a shorter time with sound box than if the tuning fork is struck identically without the sound box.
Homework EquationsThe Attempt at a Solution
Is it because the...
Homework Statement
Looking for some feedback on my answer.
Explain what is meant by damping. Choose a specific technology that requires a damping mechanism and describe how the damping takes place.
Homework EquationsThe Attempt at a Solution
[/B]
Damping is when energy leaves a system that...
Evening all,
I've recently undertaken a project where my roll is to analyse the suspension of a mountain bike. The suspension unit in question is a Rock Shox Monarch RT3. To give a brief summary:
The shock uses compressed air as the spring, the pressure is adjustable via an air valve.
The shock...
My question is fairly simple, but I'm having a hard time finding the answer.
A guitar body dampens the vibration of a guitar string to some degree by contorting slightly as the string oscillates, and then producing sound waves and heat in turn.
My question is; is it the mass the of the...
So I made this simulation of charged particles: https://github.com/TheDemx27/Charge-Simulator
My goal is to be able to put the charges on a line, as I've done, and see them tend toward a final state where there is more charge at the ends of the line and less towards the center. The problem is...
http://physics.stackexchange.com/questions/243457/about-the-formula-of-pendulum-simple
a(t) = a0 * sin ( sqrt(g/l) * t * Pi/2 ) - [ k/(mll) * cos ( sqrt(g/l) * t * Pi/2 ) * t ) ]
a(t) : the angle in instant t .
t : time
g : gravity .
Pi = 3.14
k = Fixed (Friction )
l : longer of pendulum...
Hi everyone,
I'm working on a college project this year about mountain bike suspension damping. By trade I'm a mechanical engineer however, I'm required to construct a simple sensor circuit to monitor the performance of the damper I am making. Forgive me if my wording or logic is not quite...
How to change the damping ratio of dynamical system if it is say for example robotic arm? Can it be changed directly or one need to change natural freqvancy? by which it will automatically change.
Like many others, LIGO made me curious about gravitational waves. I found the paper:
Nonlocal Gravity: Damping of Linearized Gravitational Waves
http://arxiv.org/abs/1304.1769
I'm having difficulty understanding. Does that mean that damping is implicit in the terms of the tensors? Does it...
Homework Statement
imgur link: http://i.imgur.com/Bv3qtPm.png
Homework EquationsThe Attempt at a Solution
From the FBD it is apparent that there is a constraint
-k_1x_1 + k_2(x_2-x_1) + 5\cos{10t} = 0
If you combine this with
{x}''_1 = -(k_1+k_2)x_1 + k_2x_2 + 5\cos{10t}
and
m{x}''_2...
Homework Statement
A mass on a long elastic cord oscillates with an amplitude of 23 cm. If the energy of this system is reduced by fiction to half its value, what will be its amplitude?
Homework Equations
Looking though my book or resources on the internet have not revealed a path for this...
Homework Statement
A spring balance consists of a pan that hangs from a spring. A damping force F_d = -bv is applied to the balance so that when an object is placed in the pan it comes to rest in the minimum time without overshoot. Determine the required value of b for an object of mass 2.5 kg...
In an excerpt from Ian Millington's Game Physics Engine Development, the author mentions a "damping" force:
"In our physics engine we could simply assume that there are no forces at work and use [Newton's First Law] directly. To simulate drag we could add special drag forces. This is fine for...
Hi all,
I have a constant torque spring that rotates the drive wheel of a Geneva mechanism. I am facing the following problem. I would like a very slow rotation of the drive wheel whenever the drive wheel is not driving the Geneva wheel of the Geneva mechanism (which is 270 degrees of a...
In an ideal mass–spring system with mass m, spring constant k, and damping coefficient b,
restoring force,##\vec F_r=-kx\hat{x}##
and damping force,##\vec F_d=-bv\hat{v}##
When the oscillating object goes towards amplitude position from equilibrium position,direction of velocity and...
Homework Statement
An object of mass 0.2kg is hung from a spring whose spring constant is 80N/m. The object is subject to a resistive force given by -bv, where v is it's velocity in meters per second.
If the damped frequency is √(3)/2 of the undamped frequency, what is the value of b...
Hello,
I'm recently trying to code a solver for a system of differential equations u'(t) = F(t,u), using a Runge Kutta 4 method with an adaptative stepsize. For this, I'm using the 'step doubling' method, which is the following : suppose that we now the solution u(i) at time t(i). Then, the...
Hello,
I have a question regarding the solution to a second order 'mass-spring-damper' system. Over the years, I have gotten familiar with the idea of system damping in the sense of under damped, over damped, and critically damped systems.
However, I've began looking closer at the solution to...
Hello,can someone tell me the physical process ,which occurs before recombination, which is giving the higher peaks and the damping tail at cmb power spectrum?
Is it possible to predict the damping coefficient of a string using a mathematical simulation that included the string's diameter, length, frequency (and therefore tension), material density, and elastic modulus (if not also its Poisson's ratio) as opposed to simply looking at the amplitudes of...
Using an eddy current brake, one would expect the damping constant ##δ## to increase with the current ##I## supplied to the eddy current brake. My question is, why is ##δ## proportional to ##I^2## and not merely ##I##?
The magnitude of the eddy current is ##\frac{1}{R}\frac{dΦ}{dt}##, which is...
Hi, I have been looking for formulae for the damping coefficient, and I found two different formulae for it.
http://www.xyobalancer.com/xyo-balancer-blog/viscous-damping-coefficient
This webpage states that damping force, Fd is given by Fd=-cv, where c is the damping coefficient while v is the...
Hi everyone,
I'm french, so sorry for my bad english.
I have a problem to compute the damping as a function of frequency. In fact, I plot the transfer function between the input (which is a force applied bu a hammer) and the output (which is an acceleration). Therefore, I can analyse the mode...
I am struggling with setting up a problem to solve for the change in amplitude of a pendulum affected by a damping force (presumable air friction) over a time period.
The original amplitude of the pendulum is 1.4 m from the equilibrium on a 15 m massless wire with a 110 kg brass bob at the end...
Hello, I was asked by my professor today to graph the motion, as well as the energies, of a spring that undergoes driven and/or damped oscillation; however, I was unable to because I do not have a very good idea of how they work. Can someone explain to me, qualitatively, what it means to have a...
I am looking for a way to calculate the torque, hence the viscous damping coefficient per T = c*w, acting on a rotating metal disk in an oil sump. How can I go about it? Thanks!
PS. I am not a ME so please forgive my ignorance.
Hi there!
Im trying to do an analysis in Abaqus of a cantilever pipe, with a tip mass at the free end, that is decelerating to a stop at 10 m/s2 from 10m/s, causing it to vibrate. To validate my results I am doing some handcalcs. I have done a static analysis and calculated the maximum...
Based on the image provided, why exactly does critical damping allow the system's amplitude to reach 0 more quickly than the case of overdamping? In overdamping, isn't the term in the NEGATIVE exponential greater in absolute value? Wouldn't this cause the system to approach 0 more rapidly? That...
Hello,
I am studying and trying to understand Powertrain / Engine mounts used in automotive such as these:
http://images.gasgoo.com/MiMwMDRfMDA0Izc4MDA3NzIwMA--/auto-part-engine-torque-strut-mount-engine-mounting-for-buick-enclave-chevrolet-traverse-gmc-acadia-25840458.jpg...
I have been investigating the damping of an oscillating mass on a spring by a piece of card of varying surface area, in order to work out the damping constant λ for the equation y = A₀ e-λt sin(ωt). I took the natural log of the amplitude of each successive oscillation and plotting that against...
I've been researching on Damped Oscillation (in vibrations) for a few days for a research paper, however I couldn't find any applications. I would be very thankful if anyone can tell me about its applications.
Homework Statement
A shock absorber is to be designed to limit its overshoot to ##15## percent of its initial displacement when released. Find the damping ratio ##\zeta_0## required.Homework EquationsThe Attempt at a Solution
My question is since log decrement, ##\delta = \ln\frac{x_1}{x_2} =...
Homework Statement
Consider a simple pendulum (point mass bob) 0.55m long with a Q of 370.
a) How long does it take for the amplitude (assumed small) to decrease by two-thirds?
b) If the amplitude is 2.9cm and the bob has mass 0.22kg , what is the initial energy loss rate of the pendulum...
In this damping system it is obvious that the dampers C1 and C2 are in parallel. But I don't understand how "noting the location of force" in this system tells us dampers C1+C2 are in parallel with damper C3. Any help will be appreciated. Thnx
I have some data from an electric motor found here:
http://www.engelantriebe.de/pdf/DAT_HLR26_11-13_engl.pdf
However, it does not include information about the coefficient of torsional viscous damping which I need for a Simulink model.
The units for torsional viscous damping are Nm.s/rad...