Today, you learned about standing waves, and how they’re made up of nodes and antinodes.

今天，您了解了驻， 以及它们如何和腹组成。

And in its most basic form, it would have just one antinode, in the middle.

在其最基本形式中，它将具有 中间有一个位移中。

It's the simplest possible standing wave you can have, with the fewest nodes and antinodes.

它是可以获得最简单驻 在他们身上，最低结和偏移中。

Overtones build on the fundamental, incrementally: each overtone adds a node and an antinode.

每个覆盖添加一个和一个偏移中。

And the open end will be an antinode, because that’s where there’s a peak in the oscillations.

开放端将是一个腹， 因为那是振荡达到峰值地方。

So the peaks are the antinodes, and the points that don't oscillate are nodes.

所以顶是位移中， 不是。

So the peaks are the antinodes, and the points that don’t oscillate are nodes.

所以峰是腹， 不振荡是。

(including those near any open ends of the pipe) form the peaks, and therefore the antinodes.

（包括声门尖端）构成 顶，以及位移中。

It’s the simplest possible standing wave you can have, with the fewest nodes and antinodes.

这是您可以拥有最简单驻， 具有最少和腹。

If you look at a string on a stringed instrument, you can actually see where the nodes and antinodes are.

如果我们看弦乐器弦，我们可以 查看位置和偏移中。

Instead of having a node at each end, it has an antinode at each end.

不是在每一端都有一个结，而是 每端中偏移。

And the open end will be an antinode, because that's where there's a peak in the oscillations.

开口端将是一个位移中，因为 顶部在示器中。

Then, the 2nd harmonic will have three antinodes and two nodes, and so on.

那么，二次谐有3个中 偏移量，两个结，等等。

Today, you learned about standing waves, and how they're made up of nodes and antinodes.

今天，我们了解了驻，以及如何 和偏移中组成。

Now what about the frequency of the second harmonic -- the standing wave with 3 nodes and 2 antinodes?

那么二次谐频率呢... 具有 3 个和两个偏移中驻？

You will have these little nodes and antinodes, but they are made up of traveling waves interfering with each other, bouncing back and forth.

你会看到这些小小和腹，它们是行相互干涉、来回反弹形成。

So the fundamental standing wave for a pipe with two open ends will have two antinodes, and one node in the middle of the wave.

因此， 具有两个开口端管道基本驻将有两个腹，一个位于中间。

The points of a standing wave that don’t oscillate are called nodes, and the points at the maximum height of the peaks are antinodes.

驻不振荡称为，峰最大高度处称为腹。

And then if we look at these troughs right here, or these antinodes, rather, those are going to be areas where we have total constructive interference.

然后，如果我们观察这里这些谷，或者更准确地说， 这些反， 它们将成为我们拥有完全建设性干扰区域。

But the areas where molecules oscillate the most (including those near any open ends of the pipe) form the peaks, and therefore the antinodes.

但是分子振荡最多区域（包括管道任何开口端附近区域）形成峰，因此形成腹。