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# Questions tagged [vibrations]

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### Frequency discrepancy: harmonically forced, Undamped, mass-spring system

I got an undamped mass-spring system: \begin{equation} {\frac { {d} ^{2}y}{ {d} t^{2}}}+4\pi^{2}y=0.0942*(0.0227 - 0.236*\sin(5.0631 - 2\pi*2t)) \end{equation} where $y$ is displacement. The two ...
846 views

### What is the difference between damping and elasticity forces?

From DYNAMICS OF STRUCTURES, Third edition, by Ray W. Clough and Joseph Penzien Damping has much less importance in controlling the maximum response of a structure to impulsive loads than for ...
57 views

### How to determine the linearity of a numerically simulated mass-spring system?

I did some numerical simulation of a mass-spring system, which is a 2D 1-degree-of-freedom spring-mounted cylinder vibrating due to moving fluid surrounding it. The cylinder's motion may be described ...
238 views

### Physical example for a non-linear mass-spring system?

Let's say there is a mass-spring system: ${\frac {\mathrm {d} ^{2}x}{\mathrm {d} t^{2}}}+2\zeta \omega _{0}{\frac {\mathrm {d} x}{\mathrm {d} t}}+\omega _{0}^{\,2}x=F$ I would like to ask for a real-...
209 views

### Is it a linear mass-spring system?

Please look at this equation representing a mass-spring system: ${\frac {\mathrm {d} ^{2}x}{\mathrm {d} t^{2}}}+2\zeta \omega _{0}{\frac {\mathrm {d} x}{\mathrm {d} t}}+\omega _{0}^{\,2}x=F$ where ...
93 views

### How to mathematically prove that a linear system's vibration frequency is equal to frequency of the harmonic external force?

I was reading about "Vibration" on Wikipedia: Forced vibration: 'for linear systems, the frequency of the steady-state vibration response resulting from the application of a periodic, harmonic ...
26k views

### What is the significance of the phase constant in the Simple Harmonic Motion equation?

The displacement of a particle performing simple harmonic motion is given by $x = A \sin(\omega t + \phi)$ , where $A$ is the amplitude, $\omega$ is the frequency, $t$ is the time, and $\phi$ is the ...
156 views

### Where do air molecules move at the greatest speed in a sound wave?

In my lecture notes it states that The movement of the particles is greatest were the gas is rarefied. But I wold disagree. I would think that the speed of particles is exactly zero at the ...
760 views

I'm trying to make a simulation for Chladni plates the diagram above shows the patterns on rectangular plates, and relates them to 2 values (n, m) many of the explanations suggest that (n) is the ...
443 views

### a Non-linear Mass-spring system with different force and vibration frequency?

I got a classic mass-spring system with zero damp ratio, having weird behaviour. The input frequency of external force is twice that of the output displacement results. While linear systems' input &...
299 views

### Vibrations - bouncing ball

I have a system with platform that has mass $m_1$ and ball with mass $m_2$, platform is connected to spring with some $k$ and damper $c$, with initial conditions of position and velocity of ball and ...
137 views

### Probability of two vibrating beams touching

Problem set-up I am looking at two adjacent elastic cantilever beams. They are micron/nanoscale size and so they vibrate due to thermal noise. The problem I am trying to solve is whether the ...
529 views

### Finding the effect of air resistance on period of oscilation without differential equation

I'm currently working on the "cavendish" experiment and wish to use/develop a method separate from the casus we've been provided. Now I've nicely calculated and derived everything I need to know, ...
89 views

### Do sounds waves created by human speech penetrate the body?

I'm not sure if this question is quite fitting. But does sound penetrate the body in a "usable" way? By that I mean if we were to somehow implant a small microphone inside the body (not too deep) ...
619 views

### sound travelling through a tube

I am an artist who is designing some interactive play equipment for a playground. One of the playground components is a talk tube feature. The child will speak into a flower sculpture, cone shaped ...
585 views

### What prevents sound to be just wind?

I have two questions about the physics of sound. As a background, I know the process of sound production can be understood as 3 stages that happen continuously: An object oscillates back and forth ...
1k views

### Does the frequency of an object in vacuum remain constant

Suppose there is an object(say a pendulum) in vacuum. When a force of certain magnitude is applied on this object, it starts vibrating with a particular frequency and amplitude. Now if the magnitude ...
82 views

### What is the cause and meaning of harmonics?

Let's suppose that a cantilever is vibrating at a frequency of 2Hz. That means that it goes up and it comes down twice per second. I don't understand what the term harmonic means. I can't grasp how ...
939 views

### How many natural frequencies does a beam have?

If you take a real 3D beam, how many natural frequencies does it have? Likewise, how many natural frequencies does a beam have if it's a one dimensional, like an Euler beam?
3k views

### Non-resonant but efficient frequencies

I understand that if the frequency of a driving force coincides with the natural frequency of an oscillator (say a pendulum), the rate at which energy is transferred to the same is maximized. However, ...