A SUBSTRUCTURE BASED INTERVAL FINITE ELEMENT METHOD AND ITS APPLICATION ON ANTI-SLIDE STABILITY ANALYSIS

In this paper, an interval finite element (IFE) method for solid structures with uncertain parameters using substructure method is proposed. The global stiffness matrix and the loading vectors are assembled based on the substructure method to reduce the dependency between the same interval parameters. Additional constrains are imposed using the penalty approach and the formulations for the substructure based IFE (Sub-IFE) method are deduced. In order to obtain the interval stresses, an approximation solution based on Taylor expansion method is presented and the result is modified further with the subinterval method when the parameters are at a high level of degree of uncertainty. Then the proposed substructure model is used to analyze the anti-slide stability of solid structures. With respect to the drawbacks of the satisfaction degree of interval which could not determine the stability or failure degree of the elements, a new uncertain evaluation system combined with the interval distance is proposed. Finally, numerical examples are carried out to demonstrate the reasonability and feasibility of the proposed method and evaluation system.