This test lets you check analysis results for a simplysupported thin square plate, in the context of a free frequency case. You will use 2D meshes. This test proposed by NAFEMS is used to validate the following attributes:


Reference: NAFEMSGlasgow, BENCHMARK newsletter, Report No. E1261/R002, February 1989, p.21. 

SpecificationsGeometry Specifications
Analysis Specifications


ResultsYou will find here the results for different finite elements: Parabolic Triangle Shell (32 x 32 elements)
To visualize the convergence of parabolic triangle shell
elements with other mesh refinements, click
here. Linear Triangle Shell (64 x 64 elements)
To visualize the convergence of linear triangle shell
elements with other mesh refinements, click
here. Parabolic Quadrangle Shell (16 x 16 elements)
To visualize the convergence of parabolic quadrangle shell elements with other mesh refinements, click here. Linear Quadrangle Shell (32 x 32 elements)
To visualize the convergence of linear quadrangle shell elements with other mesh refinements, click here. 

To Perform the Test: The Free_vibrations_simply_Thin_Square_Plate.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of 16 elements per edge, and parabolic quadrangle elements (QD8). To compute the case with other mesh sizes and element types, proceed as follow:
