Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The word comes from Latin vibrationem ("shaking, brandishing"). The oscillations may be periodic, such as the motion of a pendulum—or random, such as the movement of a tire on a gravel road.
Vibration can be desirable: for example, the motion of a tuning fork, the reed in a woodwind instrument or harmonica, a mobile phone, or the cone of a loudspeaker.
In many cases, however, vibration is undesirable, wasting energy and creating unwanted sound. For example, the vibrational motions of engines, electric motors, or any mechanical device in operation are typically unwanted. Such vibrations could be caused by imbalances in the rotating parts, uneven friction, or the meshing of gear teeth. Careful designs usually minimize unwanted vibrations.
The studies of sound and vibration are closely related. Sound, or pressure waves, are generated by vibrating structures (e.g. vocal cords); these pressure waves can also induce the vibration of structures (e.g. ear drum). Hence, attempts to reduce noise are often related to issues of vibration.
I need help in below matter. During the classes on my college we used this type of testing stand with force gauges : http://www.qualityforcegauges.com/force-gauges/ Unfortunately the exam is coming in strides and I still don’t know how to measure the vibration frequency. So I’d like to ask you...
tonequester here. Greetings to ALL.
I have posted about acoustic resonance on my last couple of posts, and have been given much good info. I have one more post concerning concerning this topic.. I am going to do an experiment to find out the answer to my query, IF there is no definitive...
Noise & vibration in condo - HELP!
Hi there, I just bought a newer condo (5 years old) and have noise and vibration coming from the mechanical/boiler room located on the first floor beneath my unit. The property manager has had a plumber come into put dampeners on the pipes, and moved the...
Hi, I am training to be a Building services engineer. I have come across a problem where I have to calculate the vibration from the generator and the transformer to the striation of the building.. how should I do it?
I am working on a motorcycle dynamics problem. I have written the equations of motion in matrix form in MATLAB (and mathcad). It is a 4 degree of freedom system, so I have a mass, damping and stiffness matrix all 4X4. I am able to find from these matrices the natural frequencies, and damping...
Molecular Vibration...
I'm not sure if this is a Chemistry question or a Physics question. Please take time to correct me if I have posted in the wrong area.
How do you find the frequency which a certain molecule vibrates?
Like Melanin, or Serotonin, or Insulin.
My brother and I are...
Does amorphous solids support phonons or nomal modes of vibration.??
Can we apply the concept of phonons and Debye Model in case of amorphous and poly-crystalline solids??
http://en.wikipedia.org/wiki/Phonon
http://en.wikipedia.org/wiki/Debye_model
The links I have attached above...
the heat causes the molecule to vibrate.how does the molecule vibrate in terms of angle formed by vibrating molecule and the direction of tranfer of heat in conduction, convention and radiation?
In forced vibration, amplitude of vibration changes periodically. Is it right ? I think it is a correct statement, since the amplitude of vibration is a periodic function.
according to Einstein all atoms in solid vibrating with the same frequency , while in the Debye's mode there are a band of frequency i.e not all the atoms would have the same frequency, my question is that , that is the idea behind the Debye's model? or why the frequency of vibrating of atoms...
I want to calculate the vibrational energy of vibrating water drops. To start with I assume water is inviscid.
The frequency spectrum can be found in for example Landau and Lifshitz. But I would like to know the vibrational energy of each mode.
How should I proceed? Would it be correct to...
Hi all,
I´m sorry for my sort of trivial issue to solve. Anyway, imagine two discs rotating at the same rpm. They are the same size - same radius, same thickness. The mass is ideally distributed around the axis, so there is originally no disbalance. One of the disc is made of iron, the...
I am designing a plate that will attach to the roll cage of my off-road vehicle. The plate will be supported on each end by the frame.
I want to make sure that vibrations from the engine do not cause the plate to oscillate out of control.
How do I calculate this out?
Normal modes of vibration, two masses, two spring, arranged vertically with m2 at the top, m1 underneath arranged (top to bottom) m2, k2, m1, k1, rigid support
I have solved the first part of an undamped coupled spring problem to give
m_1m_2 \omega ^ 4 + ((m_1+m_2)k_2+m_2k_1)\omega ^2...
In some questions I am doing, you set of a pair of simultaneous equations and in the notes we have that . For a non trivial solution of X1 and X2,the determinant of
coefficients of X1 and X2 must be zero.
An equation might typically look like this (m \omega^2 +k_1)x_1 +k_2 x_2=0
Why must...
I am working with existing accelerometers attached to the shell of a simply supported cylinder. Accelerometers are oriented radially at +/- 45 degrees from horizontal. There is a forced vibration on the cylinder in the vertical and horizontal directions and the cylinder is also exposed to...
An atom has the following energy of vibration: E= nhv. n can only be in the range of whole numbers.
So if an vibrating atom changed energy, say from 6hv to 2hv, it means that 4hv of energy is released in light/photons
Does that mean that 4 photons are "released" by the atom (?), because...
Hi guys,
I hope we got some expert out here for vibration profile problems.
I have a device that need to be on a shaker table but I need to "find" its profile to see if the shaker table can actually run this experiment. The Shaker table is Unholtz-Dickie system SA30-560B and I have data...
Hello,
I have a 3D COMSOL model which I am using for the purpose of vibration analysis.
Up to now I've got analytical eigenvalues using COMSOL with MATLAB. I have to correlate the results with the measured eigenvalues results, using MAC criterion.
The problem is that my analytical results...
Hi,
I am working with the vibration motor in smartphone. I want to calculate to force comes from the vibration motor through time. In this case, I only measure the force in 3 direction, like x, y and z axes. I expect it has sinuous form but I don't know exactly the mathematics equation to...
When presented with different phenomenons it can be hard to imagine the relationship between each other. Although I am able to work out different problems involving it and sometimes provide good arguments around it I haven't yet gained enough confidence on how to imagine frequency.
Is...
I am trying to set-up an experiment to measure vibrations on different surfaces and how connected surfaces react; I need some advice on the correct equipment and how to set-up the experiment.
I need between 3 and 5 vibrating pads, these need to be approximately 10 to 30 mm diameter and be...
I am just wondering the author is doing in this calculation step.
Given ##\displaystyle \rho A \frac {\partial^2 w}{\partial x^2} - \rho I \frac{\partial^4 w}{\partial t^2 \partial x^2} +\frac {\partial^2 }{\partial x^2}EI \frac {\partial^2 w}{\partial x^2}=q(x,t)##
where ##w(x,t)=W(x)e^{-i...
How to transform non-linear frequency vibration to constant frequency of vibration of 2 Hz?
Such as transform the different frequency of waves to constant frequency and then maintain it..
Homework Statement
a machine of mass 100 tonne generates a simple harmonic disturbing force when operating at a speed of 200rpm. to protect the floor and surrounding machinery it is proposed tp mount the machine on helical springs so that the transmissibility ratio is reduced to 0.1
Q1...
Homework Statement
a machine of mass 100 tonne generates a simple harmonic disturbing force when operating at a speed of 200rpm. to protect the floor and surrounding machinery it is proposed tp mount the machine on helical springs so that the transmissibility ratio is reduced to 0.1
Q1...
Homework Statement
Hi everyone! first post here :)
Basically, the question is as follows:
Consider a hydrogen fluoride molecule (atomic mass of H is 1g/mole and of F is 19 g/mole).
1. Write the energy of the system in terms of the displacements of both atoms.
There are other questions...
Hey all!
Does vibration create a wave or a disturbance?
If I have something like a particle or something more massive like a molecule, and it vibrates, does it create a wave function?
If you have a stadium of people (yea I know, silly example) and one line of people start a wave or...
Dear all,
Can anyone explain the the phase lag between force and displacement in single degree of freedom forced vibration with viscosity damping?
The response of phase angle derived by mechanical vibration as below ( assuming force is excited harmonically) :
Phi(ω) = arctan( C*ω / ( K...
Homework Statement
A simple series circuit has an inductor of 1 henry, a capacitor of 10^-6 farads, and a resistor of 1000 ohms. The initial charge on the capacitor is zero. If a 12V battery is connected is connected to the circuit, and the circuit is closed at t=0, find the charge on the...
I know this question is probably fairly basic but I had a hard time finding an answer on google. Does a single atom vibrate/jiggle/oscillate if it has a temperature (ie is not at absolute zero)? Is this vibration random in direction? If it is random, wouldn't this violate the law of...
Hi everyone,
For a project I'm working on, I'm mounting a stepper motor against a wooden, round plate. This wooden plate is again fixed on a table. The stepper motor is fixed to the wooden plate using 2 metal brackets. The stepper motor itself drives a round object of about 0.4 kg that is...
Hi all,
I have a bit of a practicality problem here I was hoping I could get community consensus regarding. This question revolves around vibration throughout a mechanical setup and I haven't exactly studied said topic in any sort of depth in my schooling yet (coming up winter quarter)...
Homework Statement
Given the relationship Cp/R as a function of Temperature, approximate the number of fully excited vibration modes at a given temperature for a given molecule.
2. The attempt at a solution
I have looked through several textbooks and many web sites, but I can't find this...
All,
I am an engineer that occasionally needs to modify or rework circuit boards. I have a hot air rework station that uses a diaphragm pump to push air through a heating element. The result is air up to 550 degrees celcius. I can effectively rework most circuit boards. Unfortunately the...
I am working on a forced vib project involving a musical instruments
I am trying to have the vibration of my classical acoustic guitar increase, however NO ELECTRICITY CAN BE INVOLVED, and also trying to make the vibration of a piece of tightly folded aluminum that is attached to my guitar to...
Homework Statement
I have a task of essentially proving that bigger motor = bigger vibration. I have certain data such as the running speed of the motor (), moment of inertia of the rotor, weight of the motor and shaft and the diameter of the shaft.
Homework Equations
|X| = \frac{me}{M}...
I have a steel drilling Derrick 240 feet high mounted central to a ship, this is used for drilling for oil. Calculations have been done on the Derrick in regards to reaction forces in different modes of operation(drilling, transit etc). I need to do a vibration analysis of different points on...
Hi, I have forgotten quite a bit of my vibration studies, so I have a fairly basic question. Essentially, when you want to find the natural frequency of a single dof system, you use ω=√k/m. However, does anyone know a general procedure (not problem-specific) for finding "k" that is applicable to...
Hello,
I'm reading something about adsorbate induced surface resistivity changes in thin metal films
and there is often mentioning of electron-hole pair damping, as for example:
"electron-hole pair damping of the parallel(to the surface of thin film) frustrated vibration of the...
Hi,
I had been reading the book on 'Dynamics of Structures' authored by Prof.Anil K Chopra of University of Berkeley.
In his book, the author has provided the natural period of vibration of some buildings like:
1) Transamerical building of San Francisco- California which is 2.90 seconds...
Homework Statement
comparison nylon and pvc pipe which one vibration level is higher ?
depend on which material properties ?
Homework Equations
The Attempt at a Solution
Something i am doing is not adding up. I don't understand the part with the external force. here's the question:
Show that the solution for the damped free forced vibration given by is when , where
something along the way I'm doing wrong, because not for heck can i get that fraction with...
Homework Statement
Determine the equation for the natural frequencies of a uniform rod in torsional oscillation with one end fixed and the other end free
Homework Equations
Theta = [A*sin(omega*(rho/G)^(1/2)*x)+B*cos((omega*(rho/G)^(1/2)*x)]*[C*sin(omega*t)+D*cos(omega*t)]
The...
Hi!
I'm trying to find a good way to predict fatigue caused by a random vibration (given PSD).
I know at least 2 ways of doing it but I'm questioning them both.
One of them is using the rain flow count algorithm at a simulated acceleration/time signal to generate a certain amount of...
I have read that every body possesses some energy of vibration due to the thermodynamic character and it is equal to 1/2 kT. Does this mean that we can detect the vibrations of bodies?
Or ,as it is, does it ultimately end up as heat?
Regards,
Boltzmann2012