The simulation between kinematic properties of crank linkage of engine in vehicle by lagrange formula

Abstract

The torque will be in proportion to the crank ratio in crank and linkage mechanism. That may be fitted to the stroke ratio λ well. The bigger the λ is the bigger the torque is. The crank acceleration and piston angle will be low when the λ becomes big. The linkage acceleration and speed may incline as the stroke ratio and rotation is big. The movement will be big when the stroke ratio is small and the rotation is inclining on the crank linkage mechanism in vehicle.