Sequential Perturbation
Basic method Three step process –Calculate the basic result –Calculate the result based on each error limit Put this into a spread sheet –Calculate the total error (sum ΔSigma 2 )
Example Beam experiment
Example Uncertainty calculation of surface stress. Surface stress Inertia of beam
Table values Nominal: The calculation value with NO error values applied Sigma + : The calculation assuming the most positive amount of variation for that variable in the calculation Sigma - : The calculation assuming the most negative amount of variation for that variable in the calculation Delta Sigma : Delta Sigma Squared: The square of the calculated value for delta sigma
Example calculation Nominal Value Force sigma + Force sigma – Delta sigma
Filled table Variablesigma +Sigma -Delta sigma Delta sigma2 F l h h b b Sum Total Error10.64