All language subtitles for 30 Spline Definition

This is tutorial number 30 and it covers the spline definition within KTAB5.

Start off, open up a new KTAB5 part file and once you've done that let's go into the sketcher.

So let's click sketch and click any of the planes.

Now what I'm going to do in this tutorial is I'm just going to kind of give you a brief overview of the spline tool

and I'm going to give you a definition of the actual spline and how you can actually calculate and find the spline.

Now the spline tool is located right here or you can go through insert profile spline and get the spline.

Now if you've not already used the spline tool you know that if you click a point and start moving it around you're going to get a function or profile that fits all of these points.

Now what I'm going to do is I'm going to give you a overview of the spline tool and how it actually works.

This is from one of the lectures that I've had going through engineering and this is just kind of like an example just to show you like a reasonable and an unreasonable spline definition.

So they both have the same point coordinates but the difference is that as you're going around one is a reasonable and one is unreasonable.

This one's unreasonable as it's shooting up all over the place so really you're not getting the true spline that you want.

This one it goes around it curves around and that's what you want.

Now with the spline each point in between each point each two sets of points it's actually a different kind of function.

So in here this is function x sorry function f this could be function g h i j k.

Each of those is a separate function and they're totally different from one another.

So this can be just as an example this one could be x squared this one could be x to the power of three you know two x to the power of four whatever they're unique to one another but you're only getting a segment of each of them.

So when you get just that segment that's what gives you the spline so that at each the real I guess key to the splines at each point the transition point between the two different functions at that point they're the same number.

So you know say this is a point point five here at point point five function h is the exact same as function g.

So when you're at point five they're the same and you get a nice transition.

So when you have something like this it's not really true even though they do touch the points it's an unrealistic spline.

Now doing the spline if you just google it you can actually find there's many many different ways that you can manually calculate the spline.

If we go into paint I'm just going to show you a couple examples of kind of like what a difference flying what it's going to do so say we had say this is like the y this is the x and say we have points going up just like this.

If we have those points we'll change this to yellow we're just going to get pretty much a street line going right through them but if we have points such as this.

We need three different functions here since we have four points to fill up and to create the function so I'll just kind of free hand.

So we can say it's going to look something like this.

But if we go to the yellow let's say this is our first function this function really actually continues such as that.

This function here is really something like that and our last function there we can say something really like this.

So you can see that we're taking we're kind of like cutting out patches of different functions and putting them together so that's pretty much what the spline definition does.

Now I'm just going to show you how that straight line how it will actually make a straight line in the spline so let's click spline and if we just draw in a straight line we're just going to be creating a straight line just like I showed you in the paint.

And if I do it kind of on an angle it's still going to keep somewhat a straight line.

So with the spline tool you're actually making little functions that are being connected so when you're actually using a spline you might be using a function in a set of points so it can be calculated outside of Katia.

And if you want to actually see how you can calculate and derive a spline through hand calcs outside of Katia and just figure out actually how these functions are coming together you can Google it and there's numerous ways that you can either hand calculate or there's probably some programs you can find out there that will calculate each function for you.

And that concludes our tutorial on the introduction to the spline definition.

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