154 citations
- Universidad Nacional Autónoma de MéxicoMX13 papers
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4 papers · 1 filter
Synthesis Method for the Spherical 4R Mechanism with Minimum Center of Mass Acceleration
O. Mendoza-Trejo, Carlos A. Cruz-Villar, R. Peón-Escalante +2
In the mechanisms area, minimization of the magnitude of the acceleration of the center of mass (ACoM) implies shaking force balancing. For a mechanism operating in cycles, the cas…
Dual Algorithms
F. Penunuri, O. Carvente, M. A. Zambrano-Arjona +1
The cubic spline interpolation method, the Runge--Kutta method, and the Newton-Raphson method are extended to dual versions (developed in the context of dual numbers). This extensi…
A Dual Number Approach for Numerical Calculation of Velocity and Acceleration in the Spherical 4R Mechanism
F. Penunuri, R. Peon-Escalante, C. Villanueva +2
This paper proposes a methodology to calculate both the first and second derivatives of a vector function of one variable in a single computation step. The method is based on the n…
Synthesis of Spherical 4R Mechanism for Path Generation using Differential Evolution
F. Penunuri, R. Peon-Escalante, C. Villanueva +1
The problem of path generation for the spherical 4R mechanism is solved using the Differential Evolution algorithm (DE). Formulas for the spherical geodesics are employed in order…