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The main aim of this paper is to investigate the performance of hybrid electrical vehicles (HEVs) using single and dual epicyclic power split transmissions (PST). The development of PST has been a crucial feature in the technological success of hybrid driveline vehicles. In this paper, single and twin epicyclic power split transmissions models are analyzed and the relationships of speed and torque of the engine, motor and generator are developed. The models are further extended to include all subsystems and a controller designer to be fitted in a typical hybrid electrical vehicle (HEV). Computer programmes for the analysis of epicyclic transmission based on a matrix method are developed and used. In addition, the performance and control strategy of the new system is presented. Three vehicle models are built-up; namely: traditional ICE vehicle, HEV with single epicyclic gearbox, and HEV with twin epicyclic gearbox. The vehicles are simulated over typical driving cycles.

In this paper, a novel 3-D dynamic/crash mathematical model is developed and solved numerically to investigate the influence of Vehicle Dynamics Control Systems (VDCS) on vehicle collision mitigation in offset crash scenarios. In this model, the VDCS are co-simulated with a four-wheel vehicle dynamic model and integrated with a nonlinear front-end structure model. In addition, the vehicle body is represented by a lumped mass and four spring/damper units are used to represent the vehicle suspension system. The numerical simulations demonstrate that the vehicle dynamic responses and influence of VDCS on vehicle collisions are captured and analyzed accurately. Furthermore, the mathematical model is shown to be flexible, useful and can be used in optimization studies. The model is validated by comparing the numerical results with other published results and good correlations are achieved.

The work carried out in this paper includes developing and analyzing mathematical models of vehicle structures involved in head-on collisions with different obstacles. Crash analysis of vehicle-to-vehicle and vehicle-to-rigid fixed barrier in full and offset collision events is presented using a mathematical methodology and dynamic responses are obtained with the aid of an analytical approach using Incremental Harmonic Balance Method (IHBM). Moreover, optimized vehicle structures with additional energy absorbers are presented and analyzed. The rail deformation and occupant deceleration are used for interpreting the results. It is proven from numerical simulations that development and analysis of mathematical models are efficient tools for estimating the dynamic response for different frontal collision events. It is also shown that mathematical models are flexible and useful in optimization studies.