Torsional Response of Automotive Timing Chain Systems 940689
An analytical model is developed to describe the longitudinal response of the timing chain and the associated torsional response of all the sprockets and tensioner. A closed form equilibrium analysis reveals that equilibrium tensions are functions of tensioner stiffness, chain preload, steady cam torques and engine speed. The equations of motion are linearized about the equilibrium position to determine natural frequencies, mode shapes of the torsional modes and the forced response due to cam torque harmonics. Experimental measurements of the system natural frequencies and the forced amplitudes are in good agreement with the theoretical predictions.