Abstract
The response surface method is a common method to solve structural reliability problems. The core principle of this method is the approximation of the actual limit state function using the response surface function for subsequent analytical calculations. The existing response surface method for structural reliability has poor approximation ability and waste of the actual limit state function of the experimental points. These problems lead to low computational efficiency and inability to satisfy high-precision engineering requirements. This paper proposes a novel response surface method for structural reliability. The efficiency and accuracy are improved by the new experimental point selection strategy of the proposed method. This method has the following obvious advantages: the experimental point is close to the actual limit state function, the actual number of calculations is reduced, and the effect of the constructed response surface function approximation is improved. In addition, the single response surface function form is not used in the proposed method to improve the iterative efficiency. Compared with other response surface methods for structural reliability, three calculation examples prove the accuracy and efficiency of the proposed method.
Highlights
Structural reliability is a challenging problem in the engineering field
In order to solve the reliability of the evaluation structure, Hadidi et al.33 proposed a response surface method (RSM) based on a new Response Surface Function (RSF) form and point selection strategy
In order to improve the efficiency and accuracy of RSM applied to structural reliability, this paper proposes a new RSM for structural reliability
Summary
Structural reliability is a challenging problem in the engineering field. This problem is due to the uncertainty of internal and external factors, such as the environment and materials, and due to the complexity, high dimensionality, and implicitness of the engineering structure. Structural reliability aims to evaluate the failure probability of a structure, whose definition is the multiple integral of the joint probability density distribution. The numerical simulation method estimates the failure probability by calculating the ratio of the failure sample to the overall sample This method is highly adaptable, which is a solution to various complex structural reliability problems. In order to solve the reliability of the evaluation structure, Hadidi et al. proposed a RSM based on a new Response Surface Function (RSF) form and point selection strategy. In order to overcome the problems of the existing RSM for structural reliability, this paper proposes an RSM based on a new point selection strategy The innovations of this method are as follows: take the points with excellent positions in the previous iteration as the experimental points of the iteration, and select the experimental points close to the actual LSF based on the weighted method. IV to prove the accuracy, efficiency, and adaptability of the proposed method
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