Design of computer experiments applied to modeling of compliant mechanisms for real-time control

This article discusses the use of design of computer experiments (DOCE) (i.e., experiments run with a computer model to find how a set of inputs affects a set of outputs) to obtain a force–displacement meta-model (i.e., a mathematical equation that summarizes and aids in analyz-ing the input–output data of a DOCE) of compliant mechanisms (CMs) -- The procedure discussed produces a force–displacement meta-model, or closed analytic vector function, that aims to control CMs in real-time -- In our work, the factorial and space-filling DOCE meta-model of CMs is supported by finite element analysis (FEA) -- The protocol discussed is used to model the HexFlex mechanism functioning under quasi-static conditions -- The HexFlex is a parallel CM for nano-manipulation that allows six degrees of freedom (x, y, z, hx, hy, hz) of its moving platform -- In the multi-linear model fit of the HexFlex, the products or inter-actions proved to be negligible, yielding a linear model (i.e.,linear in the inputs) for the operating range -- The accuracy of the meta-model was calculated by conducting a set of computer experiments with random uniform distribution of the input forces -- Three error criteria were recorded comparing the meta-model prediction with respect to the results of the FEA experiments by determining: (1) maximum of the absolute value of the error, (2) relative error, and (3) root mean square error -- The maximum errors of our model are lower than high-precision manufacturing tolerances and are also lower than those reported by other researchers who have tried to fit meta-models to the HexFlex mechanism

• Autores: Acosta, Diego A.; Restrepo, David; Durango, Sebastián; Ruíz, Óscar E.
• Fecha de publicación: 2013
• Institución: Universidad EAFIT
• Repositorio: Repositorio EAFIT
• Idioma: eng
• OAI Identifier: oai:repository.eafit.edu.co:10784/9677
• Acceso en línea: http://hdl.handle.net/10784/9677
• Palabra clave: MÉTODO DE ELEMENTOS FINITOS; DISEÑO CON AYUDA DE COMPUTADOR; TOLERANCIA (INGENIERÍA); DISEÑO EXPERIMENTAL; ECUACIONES; DISTRIBUCIÓN (TEORÍA DE PROBABILIDADES); FUNCIONES; NANOTECNOLOGÍA; FUNCIONES CON VALORES VECTORIALES; Finite element method; Computer-aided Design; Tolerance (Engineering); Experimental design; Equations; Distribution (probability theory); Functions; Nanotechnology; Vector valued functions; Finite element method; Computer-aided Design; Tolerance (Engineering); Experimental design; Equations; Distribution (probability theory); Functions; Nanotechnology; Vector valued functions; FEA (Finite Element Analysis); Sistemas CAD/CAM
• License: Acceso abierto