Resumen
Time?history analysis (THA), the Lyapunov Exponents Approach (LEA), and the Poincaré Map (PM) are enhanced to investigate the dynamic instability of forced torsional vibrations (FTV) for a double tripod industrial driveshaft (DTID) in transition through the principal parametric resonance region (PPRR). Based on a modified designed model of FTV for an automotive driveshaft (AD), a robust method comprising THA, LEA, and PM (THA?LEA?PM) was created that certifies the existence of deterministic chaos or an ergodic process for the dynamic behavior of DTID?s FTV in transition through PPRR. These methods represent a design tool for the DTID?s FTV control of the homokinetic driveline transmission in the industry.