Fastened Connection on Braced Plates

This test lets you study the fastened connection in the case of a free modal analysis. You will use 2D meshes.

Reference:

Guide de validation des prologiciels de calcul des structures, AFNOR Technique, pp234-235, SFM.
 

Specifications

Geometry Specifications

Length:
L = 375 mm  

Width:
l = 200 mm

Height:
h = 50 mm

Thickness:
th = 5 mm

Segment a = 25 mm

Segment b = 75 mm

Analysis Specifications

Young Modulus (material):
E = 210 GPa

Poisson's Ratio (material):
ν = 0.3
Density:
ρ = 7800 kg/m3
Mesh Specifications:
  • Size = 10 mm
  • Reference Case: constraint on edges of space plates and automatic mesh capture
  • Assembly Case: fastened properties with connection between edges of braced plates and plates.
 

Results

  • Reference Solutions

    Mode 
     

    Reference A
    [Hz]

    Reference B
    [Hz]

    Reference C [Hz]

    Linear triangle
    (TR3)

    Parabolic triangle
    (TR6)

    Linear quadrangle
    (QD4)

    Parabolic quadrangle
    (QD8)

    1

    606

    584 (± 1%)

    582.939

    581.244

    583.123

    581.641

    2

    760

    826 (± 1.5%)

    825.399

    822.728

    826.063

    823.137

    3

    865

    855 (± 1.7%)

    852.081

    848.489

    853.06

    848.85

    4

    944

    911 (± 2%)

    910.512

    906.046

    911.213

    906.571

    5

    1113

     1113 (± 3.6%) 

    1103.97

    1096.58

    1102.68

    1097.49

    6

    1144

    1136 (± 4%)

    1150.69

    1144.39

    1149.75

    1145.64

    Reference A: experiment reference with welded plates
    Reference B: average of five finite element models results
    Reference C: automatic mesh capture results

  • Computed Results with a Fastened Connection
    The results are compared with reference C

     Mode 

    Linear triangle
    (TR3)

    Parabolic triangle
    (TR6)

    Linear quadrangle
    (QD4)

    Parabolic quadrangle
    (QD8)

     Computed results [Hz]

     Error [%]

     Computed results [Hz]

     Error [%]

     Computed results [Hz]

     Error [%]

     Computed results [Hz]

     Error [%]

    1

    591.337

    1.44

    584.283

    0.52

    601.225

    3.10

    586.422

    0.82

    2

    834.569

    1.11

    825.924

    0.39

    850.433

    2.95

    829.031

    0.72

    3

    858.534

    0.76

    850.829

    0.28

    869.304

    1.90

    853.16

    0.51

    4

    918.264

    0.85

    908.953

    0.32

    927.486

    1.79

    911.198

    0.51

    5

    1112.12

    0.74

    1100.12

    0.32

    1119.1

    1.49

    1102.57

    0.46

    6

    1166.5

    1.37

    1149.48

    0.44

    1183.05

    2.90

    1153.65

    0.70

To Perform the Test:

The braced_plates_fastened_connection_qd8_reference.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of parabolic quadrangle elements (QD8), with an automatic mesh capture.

The braced_plates_fastened_connection_qd8.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of parabolic quadrangle elements (QD8), with a fastened connection.

To compute these two cases with other meshes, proceed as follow:

  1. Open one of the CATAnalysis documents.

  2. Enter the Advanced Meshing Tools workbench.

  3. In the specification tree, double-click on the mesh.
    The Global Parameters dialog box appears.

  4. Change the mesh specifications as indicated above.

  5. Compute the case in the Generative Structural Analysis workbench.