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Harmonic Response of a Workshop Table – ANSYS & Python

Vibratory analysis of a workshop table subjected to harmonic excitation from a hydraulic machine.

The structure was modeled using ANSYS, with post-processing and automation in Python.

Mesh Convergence

A convergence study was conducted to identify the optimal mesh size. A value of 0.03 m was retained to balance accuracy and computation time.

Modal Analysis

Seven significant modes were extracted from the first 60, based on their relevance in the [0–150 Hz] frequency range.

Strong modal displacements were observed, especially around 25 Hz, 64 Hz, and 125 Hz.

Harmonic Response

Three methods were compared:

  • Full harmonic response (direct solution)
  • Modal superposition
  • Modal superposition on an optimized modal base

The maximum displacement at the center of the tabletop reaches approximately 2 mm.

Structural Optimization

The original steel tabletop was replaced with spruce wood, much lighter (ρ = 400 kg/m³), and its thickness was adapted.

This change significantly reduces the total mass without compromising vibratory performance.