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Analysis Type:
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Dynamic Random
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Model Type:
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Beam
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Comparison:
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NAFEMS Benchmark
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Reference:
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Selected Benchmarks for Forced Vibration, Report No. E1261/R002 Issue 03.2/15 June 1990, pp. 20. Test 5R
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Description:
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Determine response of simple supported square section beam subjected to random forcing with uniform power spectral density (of force)
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Element Type: | Square Beam |
Units: | MKS |
Dimensions: | L: 10.0, a =2 |
Material Properties: | Mass Density: 8000 Young's Modulus: 2e11 Poisson's Ratio: 0.3 |
Constraints: | Location: | Degrees of Freedom: |
Placed on point A Placed on point B | Fixed in TransX, TransY, TransZ, and Rotation Rx Fixed in TransY and TransZ |
Loads: | Description |
Random Forcing with uniform power spectral density (of Uniformly distributed force) PSD = (10e6 N/m) ^2/Hz, damping = 2 % in all 16 modes used. |
NAFEMS | Structure | % Diff | |
Peak Displacement PSD (mm^2/Hz) at mid-span | 180.90 | 182.599 | 0.939 |
PSD Freq (Hz) | 42.65 | 42.6002 | 0.116 |
Analysis Type: | Dynamic Random |
Model Type: | 3D |
Comparison: | NAFEMS Benchmark |
Reference: | Selected Benchmarks for Forced Vibration, Report No. E1261/R002 Issue 03.2/15 June 1990, pp 25. Test 13R |
Description: | Determine response of simple supported thin square plate subjected to random forcing with uniform power spectral density (of force) |
Element Type: | shell | |
Units: | MKS | |
Dimensions: | L: 10.0, thickness: 0.05 | |
Material Properties: | Mass Density: 8000 Young's Modulus: 2e11 | Poisson's Ratio: 0.3 |
Constraints: | Location: | Degrees of Freedom: |
Placed on edges AD and BC : Placed on edges AB and DC : | Fixed in TransY, TransZ , RotX and RotZ Fixed in TransX, TransZ , RotY and RotZ |
Loads | Details |
Random force with uniform power spectral density (of uniform pressure over whole plate) PSD = (100 N/m ^2) ^2/Hz, damping = 2 % in all 16 modes used. |
NAFEMS | Structure | % Diff | |
Peak Displacement PSD (mm^2/Hz) at centre | 2063.20 | 2065.39 | 0.101 |
PSD Freq (Hz) | 2.377 | 2.376 | 0.042 |