Voluminal Paving Stone Subjected to Harmonic Pressure

This harmonic pressure validation case belongs to solid mechanics. It aims to validate the following parameters:

• Harmonic analysis
• Harmonic pressure

The simulation results from SimScale were compared to the numerical results in [SDLV124]\(^1\).

Geometry

Find below the plate geometry used for this validation case:

The geometry is a thick rectangular plate made up of steel.

The node coordinates are tabulated below:

The node E will be used to compare the results between SimScale and [SDLV124]\(^1\).

Analysis Type and Mesh

Tool Type: Code Aster

Analysis Type: Harmonic analysis

Mesh and Element Types: The mesh used for case A was provided by Code Aster. Mesh B is a 1st order mesh created in SimScale with the standard algorithm.

Find below the mesh used for case A.

Similarly, for case B, the following mesh is used:

Simulation Setup

Material:

• Steel (linear elastic)
  • \(E\) = 180 \(GPa\), \(v\) = 0.3
  • \(\rho\) = 7800 \(kg/m^3\)
  • Rayleigh damping
    • Alpha coefficient = 3e-5 \(1/s\)
    • Beta damping = 0.001 \(s\)

Boundary Conditions:

• Constraint:
  • Fixed support on faces AA’B’B, BB’C’C, CC’D’D, and DD’A’A
• Load:
  • Pressure of 1e5 \(Pa\) applied on face ABCD, with a harmonic frequency of 1500 \(1/s\)

Result Comparison

The results obtained from SimScale for the displacement magnitude DX at point E were compared to the results presented in [SDLV124].

Inspecting the module of X displacement for case A in the post-processor:

Last updated: July 1st, 2020