世界最高跳跃机器人:工程奇迹与未来探索 veritasium 2022-08-31

世界纪录:跳跃机器人的非凡成就

这个微型机器人重量不足一个网球,却能跳得比世界上任何东西都高。

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This tiny robot weighs less than a tennis ball and can jump higher than anything in the world.

在竞争激烈的跳跃机器人领域,此前的记录是3.7米,足以跳过一栋单层建筑。

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In the competitive world of jumping robots, the previous record was 3.7 meters, enough to leap a single-story building.

而这个跳跃机器人可以达到31米的高度,比一栋10层楼的建筑还要高。

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This jumper can reach 31 meters, higher than a 10-story building.

它甚至可以从自由女神像的脚部一直跳到眼睛的高度。

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It could jump all the way from the Statue of Liberty's feet up to eye level.

跳跃的定义与生物界的启示

要被认定为一次跳跃,它必须满足两个标准。

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For something to count as a jump, it must satisfy two criteria.

首先,运动必须通过推离地面产生,因此,四轴飞行器不算跳跃,因为它推离的是空气。

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First, motion must be created by pushing off the ground, so, a quad-copter doesn't count because it pushes off the air.

其次,不能有质量损失,所以,不断喷射燃烧燃料的火箭不算跳跃,从弓发射的箭也不算。

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And second, no mass can be lost, so, rockets constantly ejecting burnt fuel are not jumping, and neither is an arrow launched from a bow.

如果弓必须与箭一起移动,那才算作跳跃。

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The bow would have to come with the arrow for it to count as a jump.

许多动物都会跳跃,从沙蚤到蚱蜢再到袋鼠,它们通过肌肉的一次性收缩将身体弹射到空中。

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Many animals jump, from sand fleas to grass hoppers to kangaroos and they launch their bodies into the air with a single stroke of their muscles.

那一次收缩所传递的能量决定了跳跃的高度。

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The amount of energy delivered in that single stroke determines the jump height.

所以如果你想跳得更高,就必须最大限度地增强肌肉的力量。

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So if you wanna jump higher, you have to maximize the strength of the muscle.

动物王国中最好的跳跃者是婴猴(Galago / Bush baby: 一种小型夜行灵长类动物)。

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The best jumper in the animal kingdom is the Galago or Bush baby.

这是因为它们全身肌肉质量的30%都用于跳跃。

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And that's because 30% of their entire muscle mass is dedicated to jumping.

这使得这种松鼠大小的灵长类动物能够从静止状态跳跃超过两米。

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This allows the squirrel-sized primate to jump over two meters from a standstill.

它们的胳膊和上半身非常小,只有巨大的跳跃腿。

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It has very small arms and upper body and it's just huge jumping legs.

它们并没有更好的肌肉或其他什么,只是拥有更多的肌肉。

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It doesn't have better muscles or anything, it just has more of them.

工程跳跃的原理:弹簧与能量储存

有一些巧妙的跳跃玩具。

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There are some clever jumping toys.

我小时候常玩这些弹射玩具,当你使一个弹射玩具变形时,你就将能量储存在其变形的形状中。

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I used to play with these poppers as a kid and when you deform a popper, you store energy in its deformed shape.

它实际上变成了一个弹簧,然后就像动物一样,通过一次性收缩对地面施加巨大的力,将自己弹射到空中。

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Effectively it becomes a spring and then just like an animal in one stroke it applies a large force to the ground launching itself into the air.

所有弹性跳跃者都遵循相同的原理,即将能量储存在弹簧中,并通过一次性释放该能量进行跳跃。

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All elastic jumpers follow the same principle of storing energy in a spring and releasing that energy in a single stroke to jump.

但我们拥有的所有跳跃玩具都无法与这个微型机器人相比。

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But none of the jumping toys we had could compare to this tiny robot.

在我尝试拍摄过的所有东西中,这个是最具挑战性的。

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Of all the things that I have ever tried to film, this is the most challenging.

因为它太小了,加速很快,每次跳跃都能行进很远的距离。

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Because it's so small, it accelerates rapidly and travels a huge distance on each jump.

每次起跳都快得我们甚至无法察觉。

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Each takeoff happened faster than we could even register.

挑战与应用:探索未知世界的跳跃者

现在,跳跃可能听起来像是一种小众技能,但工程跳跃器将是探索其他世界的完美选择,尤其是在大气稀薄或不存在的地方。

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Now, jumping might sound like a niche skill, but engineered jumpers would be perfect for exploring other worlds, particularly where the atmosphere is thin or non-existent.

在月球上,重力是地球的六分之一,这个机器人将能够跳到125米高,并向前跳半公里。

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On the moon with one sixth the gravity of earth, this robot would be able to leap 125 meters high and half a kilometer forward.

漫游车可能难以应对陡峭的悬崖和深邃的陨石坑,但跳跃器可以跳进跳出,取回样本带回漫游车。

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Rovers may struggle with steep cliffs and deep craters, but jumpers could hop in and out, fetching samples to bring back to the Rover.

而且跳跃时能量损失不大,所以如果能在着陆时将动能储回弹簧中,效率几乎可以达到完美。

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And you don't lose much energy when jumping, so if you could store the kinetic energy back in the spring on landing, the efficiency could be near perfect.

该团队已经开始建造一支完整的跳跃机器人队伍。

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The team has already started to build an entire fleet of jumping robots.

其中一些在着陆后可以自行扶正,这样它们就能立即再次起跳。

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Some of them can right themselves after landing so, they can take off again right away.

另一些则可以转向。

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Others are steerable.

它们有三条可调节的腿,允许跳跃器向任何方向发射。

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They have three adjustable legs that allow the jumper to launch in any direction.

Elliot: 本质上,我们所做的就是增加了三条额外的腿,它们不储存能量,而是允许它形成一个三脚架,使其能够指向一个方向并朝那个方向发射。

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Essentially, what we've done is we've added three additional legs that don't store energy but rather allow it to form a tripod sort of that allows it to point a direction and launch in that direction.

跳跃机制深度解析:功倍增的秘密

那么,这个跳跃机制是如何工作的呢?

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But how does this jumping mechanism work?

主结构由四块碳纤维(carbon fiber: 一种由碳元素组成的细丝状材料,具有极高强度和刚度)通过弹性带捆绑在一起组成。

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Well, the main structure consists of four pieces of carbon fiber bound together by elastic bands.

它们共同形成一个弹簧,储存跳跃所需的所有能量。

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Together they create a spring that stores all the energy needed for the jump.

在机器人的顶部是一个小型马达,一根缠绕在轴上的绳子连接到机器人的底部。

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At the top of the robot is a small motor, a string wrapped around the axle is connected to the bottom of the robot.

所以当马达启动时,它会卷起绳子,压缩机器人,从而将能量储存在碳纤维和橡皮筋中。

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So when the motor is turned on, it winds up the string compressing the robot and this stores energy in the carbon fiber and rubber bands.

大约一分半钟后,结构达到最大压缩。

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After about a minute and a half the structure reaches maximum compression.

你怎么知道什么时候把它放下?

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How do you know like when to put it down?

Elliot: 基本上,一旦底部向内收缩,它就能站立起来,现在它会翻倒。

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Basically once the bottom there, sits inward and it can stand up, right now it would roll over.

明白了。

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Right.

Elliot: 然后你把它放下。

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Then you put it down.

明白了。

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Got it.

Elliot: 只要你能。

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So as soon as you can.

此时,一个触发器释放了固定绳子在轴上的闩锁。

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And at this point, a trigger releases the latch that's holding the string on the axle.

因此,所有的绳子一次性展开,储存在弹簧中的能量被释放。

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So all the string unspools all at once and the energy stored in the spring is released.

这个跳跃器在短短九毫秒内从静止加速到每小时一百多公里。

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The jumper goes from a standstill to over a hundred kilometers an hour in only nine milliseconds.

这产生了超过300个重力加速度(g)的加速度。

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That gives an acceleration of over 300 g's.

这足以杀死任何生物。

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That would be enough to kill basically any living creature.

小心,小心,小心。

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Watch out, watch out, watch out.

但它为什么能跳得比其他任何东西都高呢?

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But how does it jump so much higher than everything else?

几乎比之前的记录保持者高出10倍。

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Nearly 10 times higher than the previous record holder.

设计优化:轻量化与混合弹簧

这个跳跃器有三个特殊的设计特点。

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Well, this jumper has three special design features.

首先,这个跳跃器非常轻,只有30克。

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First, the jumper is incredibly light at just 30 grams.

它通过使用微型马达和电池实现了这个重量。

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It achieves this weight by employing a tiny motor and battery.

此外,其整个结构由轻质碳纤维(carbon fiber)和橡胶制成,同时充当弹簧。

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Plus its entire structure made of lightweight carbon fiber and rubber doubles as the spring.

每单位质量的天然乳胶橡胶(natural latex rubber: 从橡胶树中提取的天然聚合物,具有优异的弹性)可以比几乎任何其他弹性材料储存更多的能量,每公斤7000焦耳。

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Per unit mass natural latex rubber can store more energy than nearly any other elastic material, 7,000 joules per kilogram.

弹簧的设计使其非常适合其用途。

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And the design of the spring makes it ideal for its purpose.

最初他们尝试只使用连接到铰链铝杆的橡皮筋,但这种设计在压缩时,力会先达到峰值然后减小。

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Initially they tried using only rubber bands connected to hinged aluminum rods, but with this design when compressing it, the force rises to a peak and then decreases.

感觉就像突然变得容易拉了很多。

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Just feels like it all of a sudden got a lot easier to pull.

另一种只有碳纤维(carbon fiber)板条的设计需要很大的力才能启动,然后力会线性增加。

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Another design with only carbon fiber slats requires a lot of force to get started, and then it increases linearly after that.

完成这个操作需要越来越多的力。

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There is more and more force required to do this.

最终的设计是这两种方法的混合体。

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The ultimate design is a hybrid of these two approaches.

其优点是,在整个压缩范围内,它的力曲线几乎是平坦的。

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The benefit being it's force profile is almost flat over the entire range of compression.

感觉需要很大的力,现在感觉我需要施加的力相当稳定。

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Feels like that needs a lot of force, and now it feels pretty steady with the amount of force that I need to apply.

因此,它提供了典型弹簧两倍的能量储存,其中力与位移成正比。

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Therefore it provides double the energy storage of a typical spring where force is proportional to displacement.

研究人员认为这是有史以来最高效的弹簧。

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The researchers argue this is the most efficient spring ever made.

Elliot: 有时绳子会断裂,它并不总是能在应该释放的时候释放。

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Sometimes a string will snap, it's not always consistent that it releases when it's supposed to.

哦。

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Ooh.

Elliot: 绳子断了,我去重新穿一下。

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There's a string cut, let me go re-string it.

我马上回来。

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I'll be right back.

好的。

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All right.

你可能会认为对于跳跃器来说,越轻总是越好,特别是如果增加的重量只是死重,而不是像弹簧或马达那样有用的东西。

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You'd probably expect that lighter would always be better with a jumper, especially if the added weight is simply dead weight rather than anything useful like a spring or a motor.

Elliot: 所以我们基本上是在跳跃器顶部增加一块钢块,它会跳得更高。

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So we're adding basically a chunk of steel to our jumper and it's gonna jump higher.

关键是我们把它加到了顶部。

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And the key is that we're adding it to the top.

你希望你的身体,也就是移动的部分,至少和脚一样重,当你的身体更轻时,这种碰撞,这种能量传递效率非常低,你跳得不会很高。

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You want your body, the part that's moving to weigh at least as much as the foot and when your body's lighter it's basically this collision this energy transfer is very inefficient and you don't jump very high.

功倍增:超越生物极限的关键

但这个跳跃器能达到如此高度的真正秘密在于研究人员称之为功倍增(work multiplication: 一种通过多次小能量输入累积成一次大能量输出的机制)的东西。

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But the real secret to how this jumper can achieve such heights is through something the researchers call work multiplication, unlike an animal which can only jump using a single stroke of its muscle, an engineered jumper can store up the energy from many strokes or in this case many revolutions of its motor.

与只能通过肌肉一次性收缩进行跳跃的动物不同,工程跳跃器可以储存多次收缩的能量,或者在这种情况下,是马达多次旋转的能量。

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Unlike an animal which can only jump using a single stroke of its muscle, an engineered jumper can store up the energy from many strokes or in this case many revolutions of its motor.

这就是为什么马达可以如此之小。

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And that's how the motor can be so small.

它不必一次性释放所有能量。

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It doesn't have to deliver the energy all at once.

它在几分钟内逐渐积累能量。

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It builds it up gradually over a few minutes.

所以这种权衡有点像是用时间换能量。

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So the trade off is kind of like time for energy.

Elliot: 完全正确。

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Exactly.

这之所以可能,是因为有一个处于张力下的闩锁,阻止弹簧在机器人完全压缩之前展开。

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And this is possible because there is a latch under tension preventing the spring from unspooling until the robot is fully compressed.

有趣的是,生物有机体确实使用闩锁,例如沙蚤,它们相对于其体型可以跳得非常高。

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Interestingly, biological organisms do use latches, for example the sand flee, which can jump incredibly high for its body size.

Elliot: 它有一块肌肉,假设它连接在这里,就在枢轴点内部。

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It has a muscle that is attached, let's say right here, is right inside of the pivot point.

所以当它收缩那块肌肉时,腿不会伸展,对吗?

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So as it contracts that muscle the leg doesn't extend, right?

它实际上是让它闭合得更紧,但它还有第二块肌肉将其拉出。

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It's actually closing it more, but then it has a second muscle that pulls it out.

它会将这块肌肉稍微移到枢轴点之外。

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It's going to shift this muscle ever so slightly outside the pivot point.

这太疯狂了。所以有两块肌肉在工作。

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That's wild. So there's these two muscles that are working.

Elliot: 是的。所以这是你的主要动力肌肉,这是你的触发肌肉。

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Yeah. So here's your big power muscle, here's your trigger muscle.

这是一个扭矩反转机制,然后它突然射出。

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It's a torque reversal mechanism and then all of a sudden it shoots.

但即使生物界有闩锁,也没有任何生物体发展出从静止状态跳跃的功倍增(work multiplication)机制。

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But even though the biological world has latches no organism has developed work multiplication for a jump from standstill.

至少不是内部的。人们观察到蜘蛛猴用手拉回树枝,利用多次肌肉收缩将能量储存在树枝的弯曲中,从而将自己弹射出去。

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At least not internally, spider monkeys have been observed pulling back a branch hand over hand using multiple muscle strokes stored in the bend of the branch to catapult themselves forward.

有一种蜘蛛会射出一条丝线,它们多次拉回丝线,以便将自己弹射到另一个位置。

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There's a spider that shoots out a silky string which they pull back multiple times in order to slingshot themselves to another location.

所以它就像弹弓一样把自己弹射出去?

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So it's like slingshotting itself?

Elliot: 是的。所以它们被称为弹弓蜘蛛。

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Yes. So they are called the slingshot spider.

我尝试穿着月球靴跳跃,看看它们是否能帮助我跳得更高。

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Now I tried jumping in moon boots to see if they would help me go higher.

那没关系。

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That is okay.

好的。

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Okay

哦。

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Ooh.

感觉它们确实有帮助,但Elliot指出,从静止状态开始,它们实际上帮助不大。

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And it certainly felt like they did, but Elliot pointed out that from a standing start they don't actually help much.

Elliot: 就像积累,积累,积累,然后跳。

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Like kinda build it, build it, build it, and then go.

好的。

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Okay.

只有当你之前跳了几次,才能在弹性带中储存一些前几次跳跃的能量,然后这些能量有助于你在接下来的跳跃中跳得更高。

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Only if you jump a few times before, can you store up some of the previous jumps energy in the elastic bands and then that energy helps launch you higher on the following jump.

多年来,工程跳跃的发展一直模仿生物跳跃,但随着功倍增(work multiplication)的出现,它获得了优势。

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For years, engineered jumping was developed to mimic biological jumping, but with work multiplication it gained an advantage.

如果你可以通过长时间运行马达来产生巨大的能量爆发,那么马达的功率就不再是限制因素,弹簧才是。

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If you can generate a large burst of energy simply by running a motor for a long time the power of the motor is no longer the limiting factor The spring is.

所以你可以专注于制造最强大的弹簧。

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So you can focus on making the most powerful spring possible.

这个跳跃器几乎最大限度地利用这个弹簧实现了可达到的高度。

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This jumper has nearly maximized the achievable height with this spring.

假设有一个无限轻的马达,有无限的时间来上弦,用这个压缩弹簧可能达到的最高跳跃高度只比他们已经实现的跳跃高度高出约19%。

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Assuming an infinitely light motor with infinite time to wind up the highest possible jump with this compression spring is only around 19% higher than what they've achieved.

如果你想考虑空气阻力并利用空气动力学,另一种让跳跃器跳得更高的方法是将其等尺寸放大(isometrically larger: 指物体在所有维度上按相同比例放大)10倍,这将使跳跃高度增加15%到20%。

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If you want to incorporate air resistance and play with aerodynamics another way to send the jumper higher is to make it 10 times isometrically larger leading to a 15 to 20% higher jump.

Elliot: 所以我们处于一种中间尺度,仍然受到空气阻力的影响,但不如跳蚤那么严重。

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So we're in kind of an intermediate scale where we still are getting hit by air drag but it's not as bad as the flee.

如果我们放大10倍,实际上可以完全避免阻力。

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If we went 10 times bigger we could actually avoid drag completely.

这是因为如果跳跃器在所有方面都放大十倍,横截面积会增加一百倍,这会增加阻力,但跳跃器的质量会增加一千倍。

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This works since if the jumper is scaled up ten times on all sides the cross sectional area increases by a hundred, which increases the drag force but the jumper's mass increases by a thousand.

所以它有更大的惯性,这意味着阻力对其影响更小。

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So it has way more inertia meaning the drag force affects it less.

未来展望:机器人跳跃技术的潜力

功倍增(work multiplication)的整个概念可以将机器人提升到新的水平。

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The entire concept of work multiplication could bring robots to the next level.

目前,机器人中的马达必须相对较小,以便保持便携性。

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Currently motors and robots have to be relatively small so they remain portable.

但通过马达多次旋转随时间积累能量的简单原理,将使机器人能够储存并释放巨大的能量,并在此过程中创造一些世界纪录。

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But the simple principle of building up the energy from multiple turns of a motor over time would allow robots to store and then release huge amounts of energy and set some world records in the process.

提升STEM技能:Brilliant的互动学习

让这个机器人起飞不仅仅需要工程技术。

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Getting this robot off the ground required more than just engineering.

它需要对数学和物理学的深刻理解。

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It took a deep understanding of math and physics.

如果你想将你的STEM技能提升到新的水平,我强烈推荐本视频的赞助商Brilliant

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And if you wanna take your STEM skills to the next level I highly recommend this video's sponsor Brilliant.

它是一个网站和应用程序,可以帮助你互动式地学习数学、科学和计算机科学。

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It's a website, an app that helps you learn Math Science and Computer science interactively.

他们有数千个课程,每月都会添加独家新内容。

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They have thousands of lessons with exclusive new content added monthly.

因此,他们涵盖了从代数和图表操作的基础知识到微积分和神经网络等大学水平的内容。

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So they cover everything from the basics of algebra and graph manipulation through to college level content like calculus and neural networks.

我攻读博士学位时研究人们从视频中学习了多少,不幸的是,通常少得惊人。

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Now I did my PhD studying how much people learn from videos, and unfortunately it's often shockingly little.

Brilliant通过互动性解决了这个问题。

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But brilliant gets around this because it is interactive.

你可以操作模拟和视觉效果,并且在每一步都必须回答问题。

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You can manipulate simulations and visuals and you have to answer questions every step of the way.

这是最好的学习方式,因为它能让你检查自己的理解。

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This is the best way to learn because it allows you to check your understanding.

如果你遇到困难,总会有有用的提示和完整的解释。

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And if you get stuck there are always helpful hints and full explanations.

我喜欢将Brilliant融入我的日常生活中,每天只需30分钟,我就可以让大脑运转起来,挑战自己学习新知识。

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I like to incorporate brilliant into my daily routine with just 30 minutes a day, I can get my brain working and challenge myself to learn something new.

这比浪费时间在社交媒体上要好得多。

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And this is way better than wasting time on social media.

所以我鼓励你访问brilliant.org/veritasium,查看所有提供的课程,看看是否有你想学习的东西。

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So I encourage you to go to brilliant.org/veritasium to check out all the courses on offer and see if there's something you want to learn.

此外,前200名通过该链接注册的人将获得年度高级订阅20%的折扣。

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Plus the first 200 people to sign up through that link get 20% off an annual premium subscription.

我会在描述中留下链接。

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I'll put the link down in the description.

所以我要感谢Brilliant对Veritasium的支持,也要感谢你的观看。

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So I want to thank brilliant for supporting Veritasium and I want to thank you for watching.

📌 文中提及的人物和组织

人物: Elliot

公司/组织: Brilliant