Double Wishbone Suspension: A Computational Framework for Parametric 3D Kinematic Modeling and Simulation Using Mathematica

The double wishbone suspension (DWS) system is widely used in automotive engineering because of its favorable kinematic properties which affect vehicle dynamics, handling, and ride comfort; hence, it is important to have an accurate 3D model, simulation, and analysis of the system in order to optimize its design which requires efficient computational tools for parametric study. The development of effective computational tools which support parametric exploration stands as an essential requirement. Our research demonstrates a complete Wolfram Mathematica system which creates parametric 3D kinematic models and conducts simulations and analyses and generates interactive visualizations of DWS systems. The system uses homogeneous transformation matrices to establish the spatial relationships between components relative to a global coordinate system. The symbolic geometric parameters allow designers to perform flexible design exploration and the kinematic constraints create an algebraic equation system. The numerical solution function NSolve computes linkage positions from input data which enables fast evaluation of different design parameters. The integrated 3D visualization module based on Mathematica′s manipulate function enables users to see immediate results of geometric configurations and parameter effects while calculating exact 3D coordinates. The resulting robust, systematic, and flexible computational environment integrates parametric 3D design, kinematic simulation, analysis, and dynamic visualization for DWS, serving as a valuable and efficient tool for engineers during the design, development, assessment, and optimization phases of these complex automotive systems.