Fuzzy Finite Element Analysis for Static Responses of Plane Structures

In this paper, a fuzzy finite element algorithm is investigated to determine static responses of plane structures. This algorithm concerns finite element method, fuzzy sets theory, and response surface method. Firstly, the notion of a standardized triangular fuzzy number is developed and utilized to replace original fuzzy numbers in the surrogate models. Then, the error estimations between the training and the test sets are performed to select the suitable response surface model amongst the regression models. Lastly, a good performance combination of complete and non-complete quadratic polynomial regression models is proposed to define the responses of structures. The merits of the proposed algorithm are illustrated via numerical examples.

A fast fuzzy finite element approach for laterally loaded pile in layered soils

A fuzzy finite element approach for static analysis of laterally loaded pile in multi-layer soil with uncertain properties is presented. The finite element (FE) formulation is established using a beam-on-two-parameter foundation model. Based on the developed FE model, uncertainty propagation of the soil parameters to the pile response is evaluated by mean of the α-cut strategy combined with a response surface based optimization technique. First order Taylor's expansion representing the pile responses is used to find the binary combinations of the fuzzy variables that result in extreme responses at an α-level. The exact values of the extreme responses are then determined by direct FE analysis at the found binary combinations of the fuzzy variables. The proposed approach is shown to be accurate and computationally efficient. Article history: Received 05 October 2017, Revised 05 March 2018, Accepted 27 April 2018