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The goal of this paper is to develop mathematically less complex differential equations of motion of an elastic crankshaft and their solutions with acceptable accuracy in relation to the actual system. The instantaneous angular speed of the free end of the crankshaft consists of the nonuniform rigid body motion mode and elastic deformation mode. In general, the crankshaft, as well as other parts of the engine, could be considered as a structural component with distributed mass and elasticity. This will lead to a system with an infinite number of degrees of freedom, and require solving partial differential equations. Another approach is to discretize the continuous system into a finite set of rigid bodies interconnected with springs and dampers, which is the method chosen here. The lumped mass model of the crankshaft and the corresponding differential equations of motion for each mass simulate the actual dynamics of the crankshaft fairly accurately.

Determination of Differential Equations of Motion and Parameters of an Elastic Internal Combustion Engine Crankshaft