Optimal dimensional synthesis for four-bar double steering mechanism by using natural coordinates
DOI:
https://doi.org/10.5944/ribim.29.1.43629Keywords:
Steering mechanisms,, double four-bar mechanism, optimal dimensional synthesis, Four-bar linkages, Position analysis, Natural coordinatesAbstract
In this paper, optimal mechanism synthesis will be carried out, with the aim of determining the ideal dimen-sions of a system that fulfills a specific function. This will be achieved by using natural coordinates in the formulation of the constraint equations of a double-four-bar steering mechanism. This novel method stands out for keeping the initial configuration of the mechanism constant throughout its range of motion, which represents an advantage over traditional methods, which do not provide this crucial information and are ba-sed on the dimensions of the steered segments, further complicating the assembly process of the mecha-nism. The natural coordinate method will be applied as design variables for a double-four-bar steering me-chanism. An algorithm will be applied to solve the kinematics equations and determine the optimal angles, using the open source software Octave, which will also allow performing several simulations and finding various optimization solutions for the steering mechanism. The optimal synthesis approach has been suc-cessfully applied to center-lever steering mechanisms. Although this method was efficient in finding opti-mal solutions, it is important to note that all solutions met the ideal Ackermann condition; however, not all optimizations found are applicable, since they exceed the transmission angles. Therefore, their implementa-tion will depend on the application or the specific vehicle parameters. It is concluded that the implementati-on of natural coordinates as design variables for a double four-bar steering mechanism was successful, sin-ce all optimizations gave rapid convergence of the objective function and exact compliance with the Ackermann condition as well as the ideal geometry.
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Copyright (c) 2025 Neider Nadid Romero Nuñez, Rafael Eduardo Villalba González, Gonzalo Guillermo Moreno Contreras
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