Homework Statement
Consider a damped oscillator
Assume that the mass is 318g, the spring constant is 104 N/m, and b = 0.106 kg/s. How long does it take for the amplitude to drop to half its initial value?
M = 318 g Or 0.318 kg
K = 104 N/m
b = 0.106 kg/s
Homework Equations
n / a
The...
Hi all! I'm having a bit of trouble writing the differential equation that governs this mechanical system of two springs and a hydraulic damper in series. Since there is no mass present I believe the resulting DE will be a first order equation of the form Ax'(t) + x(t) = f(t), where f(t) is...
Spring - Damper - Mass System in series
fixed-----Spring-----Damper-----Mass----->F
c d m
--> -->
x1 x2
I need help setting up the equations, I know it...
I'm sorry that post my problem picture, there is a reason that our lecturer doesn't allow this,
he can find this problem using keyword included in question.
the problem is i want to write state space equations also output. the sate variables x1 v1 and theta
dynamic equation for mass...
Hi ,
I am making a shooting rest for my high power rifle and I would like to have a damper take most of the recoil energy so that the shooting rest doesn't move back or up when shooting.
I attempted to calculate what damper would be appropriate for this but I am getting results that don't...
Lets assume a simple situation where there is a spring and a damper connected in parallel.
We place some weight above them and begin the vibrations.
The equation will then be:
Mx'' = -kx -cx' -Mg
So, I want to find a damper with a certain coeffitient c.
I mean, that I want to find a real...
i want to know the governing equations regarding force application on a damper with damping constant D.
if you provide some force f to a damper , then how much force does it transfers to the other side.
f(input)------------>----------------------[d]--------------------->force output...
Homework Statement
For a Helicopter landing on an undercarriage system modeled as a single spring damper.
In principle, is it possible to determine K and C values for a single (constant rate) spring damper system given the mass of the helicopter and 2 independent scenarios of initial...
Hi, everyone!
I'm designing pneumatic damper and I need to work out what the damping coefficient is. Basically it uses a steel rod pushing in a capped aluminium tube with a small air outlet (see diagram). I'm trying to work out what the relation is between the dimensions of the cylinder and...
I was wondering about something, and after a quick search through the forums didn't provide an answer I figured I would ask.
So in modeling a spring-mass-damper system, if you have a spring and damper in series, how do you represent that? Do you have to introduce another variable, say y, at...
I am trying to find out how an electrical damper works. I know that it slowly reduces the amplitude of a current or voltage but don't know how, or even what any circuit would look like. I am not an electrician but know basics like capacitence, impedence etc so if you can help and can explain in...
A real simple question but need confirmation:
When I have a simple Spring/ Friction Damper system where the value of the spring stiffness is say A(Nm) and the Damping is B(Nm). If the value is B > A, will the Spring system still work? Or will the spring just keep still no matter what the...
Homework Statement
I am asked to write down the equation of motion of m with respect to O, hence show that x(t) satisfies the differential equation.
m\ddot{x}+r\dot{x}+kx=mg+kl_0+m\ddot{y}
See attached diagram.
Homework Equations
I have the force of the spring H, the Damping R and...
Homework Statement
I am trying to derive the total energy for an n-dimensional linear (Hookeian) spring-mass damper system and show that the total energy is either decreasing or constant.
Homework Equations
1D spring-mass damper equation
n-D spring-mass damper equation
The Attempt at...
Hey guys,
I was just wanting to know, if there is a special way to add a damper in spring in parallel (as per the image below).
i know that springs in parallel is; 1/k(total) = 1/k1 + 1/k2...
Please guide me towards the "differential equation of motion" for the following 2 DOF Spring-damper system.
And furthermore, if above system is in a uniform speed rotating frame, then what can be the effect on this system?
Thank you very much.
Consider a system with m = 100, c = 100 and k = 400. If y(t) = 3sin(1.5t), determine x(t) and ft(t).
I don't have a picture handy but the equations for the system turn out like this.
mx''+cx'+kx = cy' + ky
Transfer function = x/y = cy' + ky / mx'' + cx' + kx
then w/a laplace...
[b]1. Please help. How should I derive the equation for the damper and spring at right side of the mass(as shown in attach pic)? Can I combine both together as Fd + Fs or I need to have set a point between the spring and damper? Thanks.
I am trying to write a system model for lowering a mass into water. In my system model, I have a mass hanging freely from a spring and damper connected in parallel. I then try to equate the damping coefficient to the drag experienced by the mass.
I have provided the system equation...
hello All, I have a problem finding the inverse laplace of mass spring damper system.
Here are my equations. Please help me in finding the solution of x(t)
Actually, I am trying to find the value of x(t) for an underdamped condition.
(1/M)/(S^2+2ζω_n+〖ω_n〗^2 ) = (c_1 (S+a)+c_2...
Hello Everyone, I'm hoping you can help with this.
I need to set up a test on a dynamic test rig which can simulate shock impacts upon a spring (actually it's a hard rubber based component).
The test has previously been done on a rig which dropped a mass of 78Kg onto the part until...
I am trying to do a FEA of a viscoelastic damper. Should I use Ansys11 to do the analysis or Ansys Workbench 11.
If I should use Workbench, can anybody give a good link where I can find tutorials on performing FEA on viscoelastic dampers.
I'm sure I must be being a bit dim here, but I can't work this out!
I have a mass-spring-damper system, as shown in the attahed picture, in which i have a mass suspended between two springs and dampers, each of which are attached to a fixed surface. he two opposite surfaces are part of the...
From a mathematic, linear differential equation point of view, and energy storage point of view, the concepts I mentioned in the topics are the same (I remember this being a concept in modeling control systems.)
My question is, what are the same basic elements in other topics: thermal...
Hi there, thanks for taking the time to read my post, any help would be appreciated.
I am analysing a 2 D.O.F. spring-mass-damper system, which is laid out in the following way (apologies for the lack of a proper diagram, my scanner is...
Hi everyone,
I want to know if anyone has informating about A/P yaw damper system. How does it work? and give me some pic with dawing the system, electrical "I mean." but if you can give me the electric servo yaw damper. you can find the Block diagram in book call "Avionics fundamentals" which...
There are lot of examples given in a physics textbooks on vibration.
There is a spring and a mass is shown at the end of the spring. In reality
i am not seeing a spring and a mass separately. For example consider a rod
it has stiffness of a spring and has a mass integrated in one object. So...
Hello everyone!
I need to solve the angular acceleration on a sunglass bin on an over head console of a car.
The sunglass bin rotates open.
It has a torsional spring and gravity that forces it to open and a small rotary damper that slows it down. There is a gear on the sunglass bin and on...