iMechanica - Volume calculation from Axisymmetric Model - Comments

Re: Volume from axisymmetric model

Biswajit Banerjee — Sun, 13 Jul 2008 19:09:00 -0400

Hi Shriram,

Yes, the yi1 etc are all yi+1 an so on. Wordpress is screwing up the display of LaTeX equations.

-- Biswajit

Clarification

shrimad — Sun, 13 Jul 2008 15:16:43 -0400

Biswajit,

Thanks a lot for the reply. It should be simple now I guess. But I wanted to make one thing sure. In the expressions that you have posted:

Is 'yi1' actually 'yi+1'? And likewise, the change applies everywhere in the equations?

Thanks,

Shriram

Research Assistant

Structural and Multidisciplinary Optimization Lab.

University of Florida

Re: Volume calculation from Axisymmetric Model

Biswajit Banerjee — Thu, 10 Jul 2008 19:32:42 -0400

I don't know whether ANSYS provides a direct way of calculating the deformed volume. However, the volume can be easily computed using the following approach.

Let the closed polygon representing the final profile of the deformed glass be given by , where is the number of vertices of the polygon. We assume that the points are ordered in the counter-clockwise direction. Each point has a pair of coordinates ().

Then, the area of the profile () is given by

The centroid of the profile is given by

The volume of the deformed cylinder is given by the Pappus theorem. The formula for the volume is

Volume calculation from Axisymmetric Model

shrimad — Thu, 10 Jul 2008 15:18:36 -0400

Hi,

I am working on numerical simulation of compression glass molding process using FEM.

I want to calculate the volume of the glass after the FE analysis (axisymmetric). At the end of the analysis, all I have is the nodal co-ordinates and element connectivity of the deformed glass. Please guide me on calculating the volume using the above information.

Does ANSYS have the capability of giving the volume of an axisymmetric model?

Thanks,S

Shriram