Abstract
The complexity of earthquakes and the nonlinearity of structures tend to increase the calculation cost of reliability-based design optimization (RBDO). To reduce computational burden and to effectively consider the uncertainties of ground motions and structural parameters, an efficient RBDO method for structures under stochastic earthquakes based on adaptive Gaussian process regression (GPR) metamodeling is proposed in this study. In this method, the uncertainties of ground motions are described by the record-to-record variation and the randomness of intensity measure (IM). A GPR model is constructed to obtain the approximations of the engineering demand parameter (EDP), and an active learning (AL) strategy is presented to adaptively update the design of experiments (DoE) of this metamodel. Based on the reliability of design variables calculated by Monte Carlo simulation (MCS), an optimal solution can be obtained by an efficient global optimization (EGO) algorithm. To validate the effectiveness and efficiency of the developed method, it is applied to the optimization problems of a steel frame and a reinforced concrete frame and compared with the existing methods. The results show that this method can provide accurate reliability information for seismic design and can deal with the problems of minimizing costs under the probabilistic constraint and problems of improving the seismic reliability under limited costs.
Highlights
Due to environmental changes, manual operation, manufacturing process, and other factors in the construction or use of engineering structures, there are usually uncertainties in component size, material properties, and external loads
The same assumption of seismic demand as in the dual response surface methodology (RSM) framework is adopted to deal with the record-to-record variation, but the number of metamodels corresponding to each performance function is reduced to one
If pU
Summary
Manual operation, manufacturing process, and other factors in the construction or use of engineering structures, there are usually uncertainties in component size, material properties, and external loads. In order to reduce calculation costs and to effectively consider the uncertainties of earthquakes in optimization, in this research, an RBDO approach for structures subjected to seismic load based on adaptive GPR metamodeling is proposed. In this method, the same assumption of seismic demand as in the dual RSM framework is adopted to deal with the record-to-record variation, but the number of metamodels corresponding to each performance function is reduced to one. Where h(d, μZ, μP) ≤ 0 is the deterministic constraint
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