Abstract
Abstract The paper presents an application of High Dimensional Model Representation (HDMR) to reliability assessment of a single pile subjected to lateral load. The purpose is to compare HDMR with some classical method based on response surface technique. First 3D numerical model of the problem for finite elements computations in the ABAQUS STANDARD program has been presented. The soil model is assumed to be linear elastic. However, contacts between the sidewall and the foundation of the pile and the soil are modelled as Coulomb one with friction and cohesion. Next the Response Surface Method is briefly reviewed in conjunction with reliability approach. Then the High Dimensional Model Representation approach is presented. In our approach the HDMR algorithm is based on polynomial of the second degree. Finally the numerical studies have been carried out. The first series of computations demonstrate the efficiency of HDMR in comparison to neural network approach. The second series allows comparison of reliability indices resulting from three different approaches, namely neural network response surface, first-order HDMR and second-order HDMR. It has been observed that for increasing values of the length of the pile reliability indices reach similar values regardless of the method response surface applied.
Highlights
Many numerical procedures have been developed in order to deal with probabilistic analysis concerning geotechnical problems
From the viewpoint of reliability the Response Surface Method (RSM) serves well problems where probabilistic evaluations are associated with Finite Element Computations
This paper presents an application of High Dimensional Model Representation (HDMR) numerical method to evaluate the reliability of pile subjected to horizontal loads and comparison with classical the Response Surface Method based of neural network technique
Summary
Many numerical procedures have been developed in order to deal with probabilistic analysis concerning geotechnical problems. One of the widest applicable methods is the Response Surface Method. This method, in general, consists in approximating an unknown function by the known function chosen appropriately. From the viewpoint of reliability the Response Surface Method (RSM) serves well problems where probabilistic evaluations are associated with Finite Element Computations. The most important drawback of the RSM is that in the case where four or more random variables are present the computational effort increases rapidly. A recent new approach to reliability computation relies on applying the High Dimensional Model
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