Recent content by Joes12

  1. J

    Exploring the Potential of Vacuum Airships

    They seem to be the same area of discussion, but I don't think the same question from what I have seen.
  2. J

    Exploring the Potential of Vacuum Airships

    I was thinking about the vacuum airship concept that was conceived a long time ago. For example: I think the main problem is the required structural strength of the container, and also being light weight. I have not run any numbers, what do you think the potential issues with the following...
  3. J

    I Wave damping on a stretched string

    Is there a simple model I can use to describe the damping of a wave on a string? Is c = 2*mu*sqrt(T/mu) where mu is damping coefficient, mu is linear density and T is tension a valid option? I replaced k and m with T and mu from the simple equation found here. What I am interested in showing is...
  4. J

    A Using the 2d wave equation or the Kirchhoff plate equation

    I would like to model the dynamics of a plate. Is it ok to use just the 2d wave equation if the plate will be under tension and fixed at the boundaries? I am a bit confused what the point of the Kirchhoff plate equation is in that case, is it for when the plate is self supporting? Many thanks
  5. J

    I Element-wise square root of a vector notation?

    What is the notation to show element-wise square root of a vector or matrix?
  6. J

    I Simplifying a matrix into an equation

    I think Iv found the answer. Is it valid to write L(J_n) though? Thanks again
  7. J

    I Simplifying a matrix into an equation

    Appologies I think I should have written J instead of I. From what I read, the symbol for the lower triangular matrix is L. If I want the non-zero elements of L to be 1 can I write L(J_n)? Is that valid notation to describe that situation? What I am looking to say with the a part is, take each...
  8. J

    I Simplifying a matrix into an equation

    I think I’ve found a way to calculate the A part. Is my notation correct? What I am trying to say is take the lower triangular matrix of the Identity matrix, so that it results in all ones of the lower triangular part. Then multiply this by the diagonal matrix of vector x. Please see attached...
  9. J

    I Simplifying a matrix into an equation

    Hi, Please see the attached image. I have a matrix and would like to split it up into a nice compact equation if possible. Matrix A seems to be a nice pattern that would lend itself to writing in equation form but I’m not sure what to do. Is it possible? Also do you know how I could correctly...
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