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Sequential Perturbation
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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 )
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Example Beam experiment
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Example Uncertainty calculation of surface stress. Surface stress Inertia of beam
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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
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Example calculation Nominal Value Force sigma + Force sigma – Delta sigma
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Filled table Variablesigma +Sigma -Delta sigma Delta sigma2 F3163.383150.756.31539.879 l3162.553151.595.48030.030 h13146.48 5.29027.984 h23163.14 3.0359.211 b13152.67 2.2004.840 b23159.30 1.1151.243 Sum113.188 Total Error10.64
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