Crusher Bearing Weibull Analysis Workbook
The Crusher Bearing Weibull Analysis Workbook is an Excel-based reliability engineering tool designed to model and analyze the failure behavior of crusher bearings in mine materials handling systems using the Weibull distribution. It enables practitioners to estimate key reliability metrics—including characteristic life (η), shape parameter (β), and failure probability—using field-collected bearing life data. The workbook supports predictive maintenance planning, root-cause analysis, and evidence-based life extension strategies for critical crushing equipment.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ Predicting remaining useful life (RUL) of installed crusher bearings
- ✓ Optimizing preventive maintenance intervals based on empirical failure patterns
- ✓ Benchmarking bearing performance across suppliers, loads, or lubrication practices
📐 Key Formulas
Weibull Cumulative Distribution Function (CDF)
F(t) = 1 − exp[−(t/η)^β]
Calculates the probability that a bearing fails before time t, where η is the scale parameter (characteristic life) and β is the shape parameter.
Weibull Probability Density Function (PDF)
f(t) = (β/η) * (t/η)^(β−1) * exp[−(t/η)^β]
Describes the failure density at time t; used to derive instantaneous failure rate and generate histograms for fitted curves.
Hazard (Failure) Rate
h(t) = (β/η) * (t/η)^(β−1)
Quantifies the instantaneous failure rate at time t; shape determines whether risk increases (β > 1), decreases (β < 1), or remains constant (β = 1).