NONLINEAR DYNAMICS OF LATTICED BAMBOO STRUCTURES

Márcia Helena Yamamoto Sato¹; Reyolando Manoel Lopes Rebello da Fonseca Brasil²

¹ Department of Structural and Geotechnical Engineering, Polytechnic School, University of São Paulo; ² Center of Engineering Modeling and Applied Sciences, Federal University of ABC

doi:10.20906/CPS/COB-2015-0149

Resumo

We perform a nonlinear time domain analysis using vector approach for a latticed bamboo roof under wind action. We divide fluid-structure interaction forces in two parts, one concerning the average wind velocity, considered permanent, and another related to the fluctuation of the velocity around the average, of random nature. The computer program developed for this paper solves the equations of motion via the Central Difference Method. We compute (large) displacements and restoring forces at each time step, using an appropriate nonlinear stress-strain relationship for the bamboo. We simulate dynamic wind loadings, of random nature, by applying a superposition of several harmonic loads on the structure with randomly set phase angles and amplitudes corresponding to spectral density function bands. The computer processing will result series of displacements and member tractions for determining the characteristic design values using a probability density function.

Palavras-chave: nonlinear dynamics; synthetic wind; bamboo; roofs