A response to the discussion of 'Updating the reliability of a concrete bridge structure based on condition assessment with uncertainties'

摘要

The authors are glad to have the views of discussions on their paper and responses to the points made by the writer of the discussion are as follows: 1. Eqs. (25)-(30) by the writer follows naturally from Eqs. (16), (17) and (20) of the original paper @@[1]. Eq. (30) indicates that the derivative dpk/dXj correlates with ∂ΔPj/∂Xi(j=1,2,...,k-1) after the jth iteration. It also shows that the effect of uncertainty has propagated in the updated model with updated system parameters Pk = P_0 + ΔP_1 + ΔP_2 + • • • + ΔP_k-1. Eq. (30) has in fact been taken into account in the computation of propagation of uncertainty in the original paper @@[1]. Readers are referred to Ref. @@[2] for more details of the analysis method of uncertainty propagation.