Analysis Of Staircase Wear Degree Based on Monte Carlo Simulation
DOI:
https://doi.org/10.54097/wz0fed66Keywords:
Archard Equation, Monte Carlo simulation, Wear depth, Normal distribution.Abstract
Based on Archard’s friction theory, an Archard model considering both anthropogenic wear (related to gait, material hardness, and wear coefficient) and environmental weathering wear is established to predict stair wear depth distribution. A probabilistic model for pedestrian footprint distribution is developed using the beta function (for footfall timing), two-dimensional normal distribution (for footfall center), and random step angle deflection. Monte Carlo simulation is applied to generate random pedestrian stepping events, simulating movement tendencies (up/down) and habits (single/side-by-side walking). Model validation shows good agreement between predicted wear volume (15540 cm³) and actual data (15303 cm³). Sensitivity analyses confirm model stability. Results indicate that step wear morphology can infer pedestrian habits, step age, and refurbishment history, providing valuable references for ancient site research.
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