Manufacturing uncertainty and its influences on the bandgap behavior of three-dimensional frame structures: a robust optimization approach with experimental validation

• Grant number: 20/15328-5
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 24, 2022
• End date: March 20, 2023
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: José Roberto de França Arruda
• Grantee: Luiz Henrique Marra da Silva Ribeiro
• Supervisor: Dimitrios Chronopoulos
• Host Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: University of Leuven, Leuven (KU Leuven), Belgium
• Associated to the scholarship: 19/00315-8 - Uncertainty and its influence in the behavior of mechanical waveguides, BP.DR

Abstract

Mechanical vibration can lead to several problems that can be dealt with via a proper design. Additive manufacturing can be used in the design of lightweight complex structures, but the additive manufacturing can yield substantial variability, especially in the mechanical properties. Statistical tools can be used to quantify uncertainty related to additive manufacturing and infer its influence in the vibration and noise responses. Using appropriate prior distributions, Bayesian statistics can be more precise, and the expansion optimal linear estimator can be used to model the spatial correlation of the mechanical properties. Robust optimization can be used to design a geometry that is robust with respect to the manufacturing variability. The spectral element method combined with the wave finite element method can be used to efficiently compute the wavenumber values, which can give information about the wave attenuation, using only one unit cell of a periodic structure. The objective of the current proposal is to design a 3D frame structure that works as a passive vibration isolation device that is robust against mechanical property variability and geometric defects using the previously mentioned methodologies and to validate the design with experiments.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

RIBEIRO, LUIZ H. M. S.; DAL POGGETTO, VINICIUS F.; CLAEYS, CLAUS; CHRONOPOULOS, DIMITRIOS; ARRUDA, JOSE R. F.. Computing dispersion diagrams and forced responses of arbitrarily varying waveguides. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, v. 258, p. 19-pg., 2023-06-30. (20/15328-5, 18/18774-6, 19/00315-8, 18/15894-0)