Skip to main content

Volume calculation from Axisymmetric Model

Submitted by shrimad on

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 

 

 

Forums
Computational Mechanics Forum
Biswajit Banerjee

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 n is the number of vertices of the polygon. We assume that the points are ordered in the counter-clockwise direction. Each point p_i has a pair of coordinates (x_i,y_i).


Then, the area of the profile (A_f) 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

Thu, 07/10/2008 - 23:32 Permalink
shrimad

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

Sun, 07/13/2008 - 19:16 Permalink