# FINITE ELEMENT MODELLING OF PLANE FRAME SUBJECTED TO RANDOM WIND EXCITATION WITH DYNAMIC ELASTOPLASTIC BEHAVIOR

## Palavras-chave:

Finite element modelling, Power spectral density, random wind loadings, Elastoplastic structure behavior, Error in norm L2 of displacement## Resumo

This work presents a finite element approach of dynamic elastoplastic analysis in plane

frame subjected to random excitation caused by wind action. The wind random velocity is modelled

mathematically by using Power Spectra Density Method in combination with Shinozuka’s model, with

commonly employed wind spectra, such as von Kármán, Davenport, Kaimal and Harris. From these

spectra, the dynamic wind loading is determined from the sum of the mean and floating wind

velocities. Thus, it is possible to obtain the wind loading vector that is applied in the structure dynamic

governing equation. The governing equation is formulated by Euler-Bernoulli beam theory, and it is

discretized by using a conventional Lagrange – Hermite element. The time stepping process is carry

out by HHT algorithm, and the material nonlinearity is modelled by von Mises isotropic hardening

model. Finally, several applications are presented, where different wind spectra are employed to

determine mechanical parameters of structure responses, such as stress, strain, displacement, among

the other. The error norm L2 of displacement is determined for different finite element discretization

refine, which aims to analyze the effects of space discretization in this type of analysis. Also, the

relative differences are determined with the purpose to compare the different mechanical behavior of

structure when subjected to different wind spectra.