In recent years, engine researchers have been trying to replace traditional cam shafts with systems that provide valve timing independent of crank motion. Such systems must be fast, quiet and energy efficient. One solution is a spring driven cam that performs a rocking motion between two stable endpoints rather than a continuous rotation. Since the cam motion is not at constant speed, traditional methods for synthesizing the cam profile cannot be applied directly. This paper illustrates a methodology for synthesizing a time optimal cam profile for a spring driven cam that is bound by simultaneous constraints of contact force, contact stress, radius of curvature, jerk, and pressure angle.

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