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Rectangular plate vibration in Lame mode

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Re: Rectangular plate vibration in Lame mode

Hi,

 

This has taken a long time to verify against a commercial software suite Strand 7.

Enclosed is 3 zip files zipped into an over arching archive.

PlateVibration.zip are Mathcad worksheets.

References.zip are PDF references that show how finite elements work and some examples

Strand7_Files.zip is the commercial package files.  A free viewer is available at 

The files with extension lsl and nfl are log files and are text.  nfl standing for natural frequency log shows the results.

 

In summary the Mathcad worksheets perform natural frequency analysis of a rectangular plate with varying support conditions and can plot mode shapes for each natural frequency.

Capture.PNG

It has reasonable accuracy.

Capture-2.PNG

Enjoy

Terry

 

 

 

 

 

 

 

Re: Rectangular plate vibration in Lame mode

Hi

Next zip file

Cheers 

Terry

Re: Rectangular plate vibration in Lame mode

Hi,

Final and biggest zip file

Re: Rectangular plate vibration in Lame mode

This is a great job, thank you, Terry. 

It will take some time to digest it.

 

All the best,

Payman

Re: Rectangular plate vibration in Lame mode

Hi,

This file shows two new things

a) How to clamp the top,bottom,left,and right edges of the plate as part of the finite elements.in terms of dx,dy at top of sheet.  By altering these boundary restraint codes all the support cases in RICE0523.pdf tables can be achieved.

b) Comparison to RICE0523.pdf tables.

 

The file uses a poissons ratio of 0.3 so comparison to RICE0523.pdf tables is possible.

Capture.PNG

b) Comparison to RICE0523.pdf tables is good.

Capture-2.PNG

Cheers

Terry