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Results tagged with normal-modes
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user 104696
Normal modes refer to fundamental patterns of motion of a system which oscillate at fixed, well defined frequencies. They may be used as building blocks for more complicated motions.
3
votes
How can I interpret the normal modes of this mechanical system?
In this example all the linkage does is convert a displacement of $u_3$ at the top to a displacement of $-\frac ba u_3$ at the bottom instantaneously so you should not expect there to be any associate …
- 99.9k
2
votes
Normal modes of the 3-mass-spring system
There are no restoring forces in the springs: this is easy to see,
......
I do not think that this statement is correct.
The rotational mode has stretched springs but the masses do not vibrate …
- 99.9k
1
vote
Accepted
Transversal string with free ends question
You know that $$y(x,t)=\sum\limits_{n=1}^{\infty} y_n(x,t)=\sum\limits_{n=1}^{\infty} A_n\cos(k_nx)\cos(\omega_nt+\phi_n)$$
and
$$\dot y(x,t)=\sum\limits_{n=1}^{\infty} \dot y_n(x,t)=\sum\limits …
- 99.9k