Abstract
This paper presents a new statistical model updating method of beam structures with random parameters under static load. The new updating method considers structural parameters and measurement errors to be random. To reduce the unmeasured degrees of freedom in the finite element model, a static condensation technique is used in this method. A statistical model updating equation with respect to element updated factors is established afterwards. The element updated factors are expanded as random multivariate power series. Using a high-order perturbation technique, the statistical model updating equation can be solved to obtain the coefficients of the power series expansions of the element updated factors. The results of two numerical examples show that for the solution of the statistical model updating equation, the accuracy of the proposed method agrees with that of the Monte Carlo simulation method very well. The static responses obtained by the updated finite element model coincide with the measured results very well. Finally, a series of static load tests of the concrete beam are conducted to testify the effectiveness of the proposed method.
Highlights
In recent years, structural health monitoring and safety assessment have been a hot research topic which has attracted the attention of numerous researchers
Anew statistical model updating method has been developed for modifying the beam
AAnew statistical model updating method has been for modifying theconsidered beam structures new statistical model updating method hasdeveloped been for modifying thethe beam structures with random parameters under static load
Summary
Structural health monitoring and safety assessment have been a hot research topic which has attracted the attention of numerous researchers. One can consider the structural responses (e.g., displacements, strains, and dynamic characteristics, etc.) as the indicators, and update the parameters and boundary conditions of the initial simulation model based on the measured data This process is generally named as the model updating. Considering the measurement errors as random quantities, many statistical approaches have been developed to update the parameters of structures based on the measured data These approaches include the stochastic perturbation methods [3,12,13,14,15,16], the Monte Carlo simulation methods [17,18], the Bayesian updating methods [19,20,21,22,23,24,25,26] and so on. Static load tests of a concrete beam are conducted to testify the effectiveness of the proposed method
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
