Nonlinear Dynamic Analysis of Tensegrity Structures

This paper examines the response of tensegrity systems subjected to dynamic loading. A numerical investigation into the behaviour of these structures is performed using nonlinear dynamic time history analysis to determine element axial forces and nodal displacements responses of the system. The investigation is carried out on the continuous struts tensegrity systems. The systems are constituted by an assemblage of several four-strut basic modules. The structure’s frequencies are determined assuming it vibrates about its deflected position under variable load magnitudes. Maximum element force time histories and dynamic amplification factors are computed as a function of variable load frequencies. Results obtained revealed that resonant responses occurred at frequency which corresponds to that of the lowest mode of vibrations, and caused buckling in most elements of the structure. Also in this study, a dynamic analysis of self-stress levels of tensegrity systems is performed. Considering the results, in the cases of vibration of the structure about its initial undeflected position and deflected position which is under vertical loading, the frequencies are independent of the selfstress level in the former case and dependent of the selfstress level with nonlinear relationship in the later case.

Keywords:

Tensegrity systems , nonlinear dynamic analysis , self-stress levels , natural frequencies