Mecatrónica y Diseño de Máquinas

URI permanente para esta comunidad

https://hdl.handle.net/10784/28129

Desarrolla tecnología adaptada al medio industrial colombiano, diseña y construye módulos mecánicos, electrónicos y software que necesitan los diseñadores de maquinaria para atender las necesidades de la industria manufacturera y de procesos.

Líneas de investigación: Desarrollo de Aplicaciones Técnicas y Didácticas en Software; Diseño Conceptual; Diseños de Equipos Para Pruebas; Diseños de Máquinas y Equipos; Diseños de Mecanismos Estáticamente Balanceados; Modelación y Análisis de Sistemas Dinámicos.
Código Minciencias: COL0013399.
Categoría 2019: Reconocido.
Escuela: Ingeniería.
Departamento académico: Ingeniería Mecánica.
Coordinadora: Iván Darío Arango López.
Correo electrónico: iarango@eafit.edu.co

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Mostrando 1 - 4 de 4

Detecting Sliding Areas in Three-Dimensional Filippov Systems using an Integration-Free Method
(WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2008-01-01) Arango, Ivan; Taborda, John Alexander; Arango, Ivan; Taborda, John Alexander; Universidad EAFIT. Departamento de Ingeniería Mecánica; Mecatrónica y Diseño de Máquinas
In this paper, we detect sliding areas in three-dimensional (3D) Filippov systems using an integration-free method denominated Singular Point Tracking (SPT). Many physical applications in engineering can be modelled as Filippov systems. Sliding dynamics due to nonsmooth phenomena as friction, hysteresis or switching are inherent to Filippov systems. The analysis of sliding dynamics has many mathematical and numerical difficulties. Several well-known numerical problems can be avoid using integration-free methods. In this paper, we extend the SPT method to 3D Filippov systems. In comparison with the 2D case, the evaluation of the vector fields on the discontinuity boundary (DB) should be reformulated and new dynamics on DB should be characterized.
Integration-Free analysis of nonsmooth local dynamics in planar filippov systems
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03-01) Arango, Ivan; Taborda, John Alexander; Arango, Ivan; Taborda, John Alexander; Universidad EAFIT. Departamento de Ingeniería Mecánica; Mecatrónica y Diseño de Máquinas
In this paper, we present a novel method to analyze the behavior of discontinuous piecewise-smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). The method uses the evaluation of the vector fields on DB to analyze the nonsmooth local dynamics of the Filippov system without the integration of the ODE sets. The method is useful in the detection of nonsmooth bifurcations in Filippov systems. We propose a classification of the points, events and events combinations on DB. This classification is more complete in comparison with the others previously reported. Additional characteristics as flow direction and sliding stability are included explicitly. The lines and the points are characterized with didactic symbols and the exclusive conditions for their existence are based on geometric criterions. Boolean-valued functions are used to formulate the conditions of existence. Different problems are analyzed with the proposed methodology. © 2009 World Scientific Publishing Company.
SPTCont 1.0: A LabView Toolbox for Bifurcation Analysis of Filippov Systems
(WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2008-01-01) Arango, Ivan; Taborda, John Alexander; Arango, Ivan; Taborda, John Alexander; Universidad EAFIT. Departamento de Ingeniería Mecánica; Mecatrónica y Diseño de Máquinas
In this paper, we report the development of LabView toolbox for bifurcation analysis of Filippov systems, which we are denominated SPTCont 1.0. This toolbox is included in the GAONDYSY software developed in language G for analysis of non-smooth dynamical systems. The SPTCont 1.0 uses integration-free algorithms based on the evaluation of the vector fields on the discontinuity boundary (DB). The routines apply the classification of points and events on DB recently proposed. Local and global bifurcations can be detected using the numerical method Singular Point Tracking or SPT. The lines and the points on DB are characterized with didactic symbols and the exclusive conditions for their existence based on geometric criterions. Boolean-valued functions are used to formulate the existence conditions. Two-dimensional and three-dimensional problems can be studied with the software SPTCont 1.0. Two principal advantages have the software in the analysis of nonsmooth systems. First, the software has educational and didactic subroutines for amateur users. Second, the software has functions for specialyzed. users where the integration-free algorithms in the SPT avoid the well know numerical problems of these algorithms. If the integration is unavoidable, for example in detection of global bifurcations, the SPT method computes the initial condition of the simulation to reduce the compute time.
Topological classification of limit cycles of piecewise smooth dynamical systems and its associated Non-Standard Bifurcations
(Multidisciplinary Digital Publishing Institute (MDPI), 2014-04-01) Alexander Taborda, John; Arango, Ivan; Alexander Taborda, John; Arango, Ivan; Universidad EAFIT. Departamento de Ingeniería Mecánica; Mecatrónica y Diseño de Máquinas
In this paper, we propose a novel strategy for the synthesis and the classification of nonsmooth limit cycles and its bifurcations (named Non-Standard Bifurcations or Discontinuity Induced Bifurcations or DIBs) in n-dimensional piecewise-smooth dynamical systems, particularly Continuous PWS and Discontinuous PWS (or Filippov-type PWS) systems. The proposed qualitative approach explicitly includes two main aspects: multiple discontinuity boundaries (DBs) in the phase space and multiple intersections between DBs (or corner manifolds-CMs). Previous classifications of DIBs of limit cycles have been restricted to generic cases with a single DB or a single CM. We use the definition of piecewise topological equivalence in order to synthesize all possibilities of nonsmooth limit cycles. Families, groups and subgroups of cycles are defined depending on smoothness zones and discontinuity boundaries (DB) involved. The synthesized cycles are used to define bifurcation patterns when the system is perturbed with parametric changes. Four families of DIBs of limit cycles are defined depending on the properties of the cycles involved. Well-known and novel bifurcations can be classified using this approach. © 2014 by the authors.

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Examinando Mecatrónica y Diseño de Máquinas por Materia "Bifurcation theory"

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