Obtaining Vibration Models of a Lattice Structured Cantilever Beam Constructed with Different Types of Materials

Abstract

Lattice structures provide lightweight engineering components with optimal distribution. Lattice structures have been used in many engineering applications in recent years. In literature, studies including vibration models of lattice structured beams are not common. In this study, cantilever beams with lattice structures were modeled using three types of materials in the Ansys program. 20 kN force was applied to each beam and the displacements that occurred at the free end side of the beams were recorded. By using input and output data sets belonging to the vibration of the beams and the System Identification Toolbox of MATLAB, discrete-time transfer function models, discrete-time state space models, and nonlinear ARX models were obtained. The results for the success of the obtained vibration models of the cantilever beams were compared and discussed using tables and figures. It can be said that the lattice Ti6Al4V beam is superior to the measured and model output compared to other materials.