Tolerance Design with designed experiments matches Monte Carlo variability estimates in linear beam and nonlinear crack growth models using far fewer trials, while Propagation of Errors becomes inaccurate above 5% coefficient of variation in inputs.
Timoshenko versus Euler beam theory: Pitfalls of a deterministic approach
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Variability estimation in a non-linear crack growth simulation model with controlled parameters using Designed Experiments testing
Tolerance Design with designed experiments matches Monte Carlo variability estimates in linear beam and nonlinear crack growth models using far fewer trials, while Propagation of Errors becomes inaccurate above 5% coefficient of variation in inputs.