Analytical and Sensitivity Analysis of Transverse Vibration Frequencies for Cables with Intermediate Elastic Supports

Description

Public release of source code, figures, and reproduction scripts accompanying the submitted paper "Analytical and Sensitivity Analysis of Transverse Vibration Frequencies for Cables with Intermediate Elastic Supports".

Steps to reproduce

30-Second Quick Reproduction ```bash cd /path/to/public_release bash scripts/run_validate.sh # 4th-order analytical vs FEM, ~30 s bash scripts/run_eq13.sh # Eq.(13) sensitivity 3-set verification, ~3-5 min bash scripts/run_figures.sh # Fig.1-8 paper figures + FEM baseline, ~2 min ``` **Expected core results**: - Max relative error between 4th-order analytical and FEM = **0.47%** - ∂f/∂x̂₁ analytical secant vs FE secant deviation = **< 3%** - Vieta self-consistency = **pass** (α²·β²=ω̂², α²-β²=ξ²)

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