Monday  |  Salon 8  |  04:50 PM–05:10 PM

#16962–Configuration-dependent Substructuring to Predict the Set of Critical Frequencies of a 3D Printer's Cartesian Mechanism

Dynamic substructuring allows us to predict the dynamic behavior of mechanical systems built by coupling several subsystems whose dynamic behavior is known. The authors extended the classical formulation, conceived initially for invariant systems, to include mechanical systems made by invariant subsystems that may be coupled in different configurations. A mechanism is a typical example of a mechanical system built by coupling together invariant subsystems: during its motion, it can take several configurations that significantly affect its vibrational behavior. Therefore, the configuration-dependent substructuring approach can provide meaningful insights into the dynamic behavior of the mechanism.
In this paper, the proposed approach is applied to the analysis and design of a cartesian mechanism of a 3D printer that is characterized by three translational degrees of freedom and can assume R^3 configurations. Configuration-dependent substructuring allows predicting the system's eigenfrequencies and frequency response functions in the space of configurations. The results are used in the design stage to optimize the system's dynamic behavior. They can also be used to avoid system resonances that could affect the printer's performance in terms of precision.

Gabrio Antonelli   Università degli Studi dell'Aquila
Jacopo Brunetti   Università degli Studi dell'Aquila
Walter D'Ambrogio   Università degli Studi dell'Aquila
Annalisa Fregolent   Università degli Studi di Roma La Sapienza