INSTABILIDADE E VIBRAÇÃO NÃO LINEARES DE UMA TRELIÇA PIRAMIDAL DE MATERIAL HIPERELÁSTICO

Resumo

In pyramidal space trusses the geometric nonlinearity is particularly significant and
in recent years, intensive research has been conducted on the development of new materials,
including shape memory polymers and elastomers. This work presents an analyzed for a
shallow pyramidal truss composed of 6 equally spaced bars using the finite element method
through the Abaqus®

program. The truss is composed of an isotropic, homogeneous and
hyperelastic material, which is modeled with neo-Hookean and Mooney–Rivlin models. The
loss of stability and nonlinear vibrations of these structures under static and dynamic loads is
analyzed. A parametric analysis of the geometric relation height and base is made and its
nonlinear behavior, time responses, phase portraits are obtained. The results highlight the
complex nonlinear dynamics of this class of structures.