Abstract

In this paper, the application of the singular value decomposition SVD for the analysis of tensegrity structures is presented. For this purpose, the SVD method is described generally, without detailing the calculating method. Next, the equilibrium equations of tensegrity structures are defined. The solution to the homogeneous system of equilibrium of the tensegrity structures is developed using the SVD method, and the meaning of the values in the matrices is presented. The method is used for the solution of several structures, some of them widely studied and some new.

Abstract

The physics lying behind rotordynamics is complex tomodel, so that in many cases numerical
processing is the only feasible approach. Being rotordynamics a field of great interest
in the aerospace industry, the efforts devoted to its understanding are increasing day by
day. Following this tendency, the aim of the present study is to develop a simplified elastodynamic
model for the case of rotating structures such that can be addressed through
numerical tools, built using the finite element method. For the purpose of analysing the
vibration phenomena, modal decomposition and numerical integration have been taken
advantage from. In this context, it has been found that the singular value decomposition
could be applied in structural analysis to extract dominant displacement fluctuations, allowing
the unfolding of global properties of the dynamic response. In the present report,
the singular value decomposition has been applied to cantilever beams undergoing a single
rotation, giving rise to reasonably satisfactory results.