writing a function, clothoid

Hi there, I was wondering if I could get some help with this.

I have the parametric formula of a clothoid:

{ Integrate[ Sin[(x^2)/2], {x,0,t}],Integrate

[Cos[(x^2)/2], {x,0,t}] }

or an eural loop (see image attached)

but I'm not able to write either of them well in the function/expression component of grasshopper, and cant get something to draw it! Any thoughts?? Thanks in advance for any help on this

Attachments:

Euthanasia_Coaster_clothoid-shape.jpg, 22 KB

Replies to This Discussion

Permalink Reply by Gerry D'Anza on October 12, 2013 at 1:18pm

hi andrew

you have to write a routine to perform the integral .search for quadrature on google.

basically the integral is converted to a sum of terms so you need to write a small script

gerry

Permalink Reply by Andrew on October 13, 2013 at 7:33am

Gerry thanks for taking the time to reply. It's been helpfull, but I have no experience on scripting, and terrible in maths! do you have an example I can see just to learn quicker??

Permalink Reply by Ola Jaensson on October 13, 2013 at 10:09am

Hi,

I thing you should check Mårten Nettelbladt's blog for inspiration on clothoids: http://thegeometryofbending.blogspot.se/

Not only Julijonas Urbonas' Euthanasia Coaster, but all modern looping roller coasters use the clothoid shape for a pleasant thrill.

What are you going to use the clothoid for?

Permalink Reply by Andrew on October 13, 2013 at 10:45am

The blog looks awesome. I'm doing some research on highways and need to figure out a way to parametrically control the clothoids used in highways.

Permalink Reply by Ola Jaensson on October 13, 2013 at 11:09am

Could this be of any help?

Permalink Reply by Andrew on October 13, 2013 at 3:33pm

wow that does the trick, it looks amazing and clever

Thank you Ola!

Permalink Reply by Vicente Soler on October 13, 2013 at 11:21am

Apparently I have this from 2009 (I updated a couple of components so it works on the latest release). I have no idea from where I got the code for the fresnel integral, I don't know who to credit.

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