A non-linear dynamic model of the passenger car driveline with dual-clutch transmission is proposed by treating the dry dual clutch as a system of multiple rigid bodies for numerical simulation of their engaging behaviours in launch phases. For the synthetic optimal engaging performance and simple optimization procedures, the effects of the friction work, shock intensity, and engine torque are examined and introduced into the objective function. The optimal engagement laws are deduced for the dry dual clutch by finding a compromise between the friction work, shock intensity, and engine torque, based upon the extremum value theorem. Numerical examples are given using the present mathematical modelling for the purpose of comparison of the transient dynamic responses of the dual clutch during engagement in a number of typical working conditions. It is shown that the present control strategy is efficient and promising.
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