Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Curvature of flexible chain

  1. Mar 10, 2014 #1
    Dear all,

    I was wondering how the radii of curvature can be calculated of a flexible chain (polymer chain). I have the x,y and z values of the polymer chain. For a 2D chain, I can calculate the curvature radii (http://www.intmath.com/applications-differentiation/8-radius-curvature.php). I am unable to extend it to 3D. Any help or guidance is appreciated.
     
  2. jcsd
  3. Mar 10, 2014 #2

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    It's not clear what you mean when you want to extend radius of curvature to 3D.
     
  4. Mar 10, 2014 #3

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

  5. Mar 11, 2014 #4
    Thanks for response SteamKing and micromass. Sorry for the unclear post.
    Let me pose the problem in a little different manner.

    Suppose, I have 6 points. Its coordinates x, y, and z are known. Say, (x1,y1,z1), (x2,y2,z2), …, (x6,y6,z6).
    The aim is to compute its curvature.

    One possible way, I can think is to consider the 3 points, and draw a circle that closely passes through these points. And then draw a circle for the next 3 set of points.

    Now, these 3 points are lying in a plane. And I have x, y and z coordinates of these points. I do not know how to obtain a circle from these points. The circle also lies in the same plane.
    Any suggestion on these would be very helpful.

    If anyone can share other ways to compute the curvature, it would be fruitful.

    Chandan
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Curvature of flexible chain
  1. About curvature (Replies: 0)

  2. Maximum curvature (Replies: 4)

  3. Curvature of a Helix (Replies: 1)

  4. Constant curvature (Replies: 1)

  5. Radius of curvature (Replies: 3)

Loading...