Fuzzy Input Parameters Influence on the Oscillation of a 2D Frame Structure Subjected to Harmonic Dynamic Load

Abstract

In [1], we presented a new method for solving the fuzzy differential equations of oscillation with fuzzy input parameters. The new method is based on the domain mode analysis method combined with a differential evolution algorithm to determine the fuzzy output parameters and the fuzzy displacements at each floor of the frame. In this article, we continue to develop and expand the solution of the fuzzy vibration differential equations of the 2D frame under the excitation of harmonic dynamic load. The solution based on the domain mode analysis method is combined with a hybrid crossover differential evolution algorithm. This algorithm is more advanced than previous traditional differential evolutionary optimizations because it converts quickly and prevents the search process from falling into a local solution. An example for illustrating the algorithm is to analyse the oscillation of the 2-span and 9-storey 2D frame structure subjected to harmonic dynamic load with fuzzy input parameters. The calculation results in the MATLAB software show the results of the fuzzy displacements and fuzzy internal force of the frame. Next, they show the relationship between the oscillation frequency and the displacement and moment of the frame structure. This is important and should be considered in the design as well as in the reliability assessment of the structures.