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# Validation Case: 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 in this project is a 1st order mesh created in SimScale with the standard algorithm.

Find below the mesh used for case A.

## 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
• Pressure of 1e5 $$Pa$$ applied on face ABCD, with a harmonic frequency of 1500 $$1/s$$