Wind Turbine Shaft Vibration Modelling

I need a technically sound yet practical study of a wind-turbine main shaft that pinpoints its vibration and bending behaviour. The core of the job is to build an analytical model—closed-form where possible—then back it up with a finite-element simulation so the theory and the numerics agree.

Scope
• Develop the governing equations for bending and torsional vibration of the hollow steel shaft, including boundary conditions representative of a hub and gearbox connection.
• Extract natural frequencies, mode shapes, critical speed maps and bending stress distributions.
• Validate the analytical results in a reputable FEA environment (ANSYS, Abaqus, or an equivalent tool you are comfortable with).
• Extend the study to a fatigue check under normal operational torque and bending loads only; no need to cover start-up or gust scenarios at this stage.

Deliverables
– A concise technical report (PDF) outlining assumptions, derivations, results, and engineering conclusions.
– Native calculation files or notebooks (MATLAB, Python, or Mathcad).
– FEA model files, mesh, material cards and post-processing plots.

Acceptance criteria
The analytical and simulation frequencies should agree within ±5 %, and stress predictions within ±10 % for the first three bending modes. Any divergence must be explained.

When you reply, attach a detailed project proposal that walks me through your methodology, expected timeline, and past experience with rotor or shaft dynamics—this will be the key factor in selecting the freelancer.