Influence of Torsional Rigidity of Driving Shaft on Vibrations of Summed Type under Parametric Excitation of a Rotating Shaft Driven through a Universal Joint.
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When a universal joint is used to drive a shaft, a secondary moment causes accompanying load torque to the shaft rotation and generates lateral vibrations. The driven yoke of the universal joint is subjected to the angular velocity fluctuation, which induces a torsional vibration. The torsional vibration decids the load torque of the driven shaft, Therefore, we can expect the possibility of occurrence of unstable vibrations in the shaft system. Vibrations of summed type under parametric excitation may occur in a certain rotating speed. Actually, whether the driving shaft is rigid or not relates to the secondary moment and the driving torque. Based on such consideration this paper derives equations of motion of the driving and driven shafts and analyzes the vibrations of summed type under parametric excitation. Theoretical analysis and experiment show that as the diameter of a driving shaft is thinner, the unstable region is narrower and the growth of vibration is slower.