2023
DOI: 10.3233/faia230066
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Quaternion Modeling of a Delta Planar Robot and Training of an Enhanced Multilayer Neural Network to Solve the Inverse Kinematic Problem

Abstract: This paper presents the modeling of the inverse kinematic problem related to the motions of a delta planar robot using the algebra of unitary Quaternions. The mathematical model resulting from the inverse kinematic analysis has an associated system of 8 nonlinear algebraic equations with 8 polynomial unknowns. The Newton-Raphson method was used to solve the mathematical model of the robot. Subsequently, using the inverse model of the robot, a database was constructed that relates the Cartesian coordinates of t… Show more

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Cited by 3 publications
(2 citation statements)
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“…"Se desea construir un simulador de un robot de 3GDL (Grados de Libertad) bajo la plataforma de cálculo formal Mathematica 8 utilizando Quaterniones unitarios (Jiménez et al 2023). El sistema debe ser capaz de resolver el problema inverso y el problema directo, y mostrar los resultados en una pantalla de manera que puedan ser visible los movimientos del robot y que al variar los datos pueda ser posible calcular las nuevas posiciones".…”
Section: Resultsunclassified
“…"Se desea construir un simulador de un robot de 3GDL (Grados de Libertad) bajo la plataforma de cálculo formal Mathematica 8 utilizando Quaterniones unitarios (Jiménez et al 2023). El sistema debe ser capaz de resolver el problema inverso y el problema directo, y mostrar los resultados en una pantalla de manera que puedan ser visible los movimientos del robot y que al variar los datos pueda ser posible calcular las nuevas posiciones".…”
Section: Resultsunclassified
“…With regard to content, some subjects, such as the design and manufacture of mechanical components, must integrate aspects of additive manufacturing and 4D, 5D and 6D printing [123], as well as applications of smart materials, since several current uses are based on these technologies. In the same way, artificial intelligence should be promoted as a topic in classes on Mechanical Engineering since it has various applications to mechanics, such as, for example, the solution of various multiphysics systems [16] and the analysis of mechanisms and robots [124], among other things. Design and manufacturing topics must be taught in the context of design and digital manufacturing, for which engineering students must learn to handle different types of software and programs, such as CAD (Computer-Aided Design), CAM (Computer-Aided Manufacturing), CAE (Computer-Aided Engineering), CAPP (Computer-Aided Production Planning) and CIM (Computer-Integrated Manufacturing) software, among other things [125].…”
Section: Mechanical Engineering Education In Industry 40mentioning
confidence: 99%