Influence of Fir-Tree Tenon Blade Parameters on Blade Dynamic Characteristics

In this paper, based on the theory of elastic structure analysis, considering the rotational softening and centrifugal stiffening of the blade, the dynamic model of the fir-tree rotating blade and the macroslip hysteresis model of the dry friction on the contact surface of fir-tree tenon are established. Based on elastic mechanics, the pressure distribution model of fir-tree tenon is innovatively established and the relationship between fit clearance and contact pressure has been derived. After the blade is discretized by the finite element method, the dynamic equation of the blade is solved iteratively by the Newmark-& beta; numerical integration method. According to the dynamic equation of the blade, the influence of the change of the tenon angle on the forced response and contact stress of the blade is derived. Finally, some novel conclusions are obtained by analyzing the influence of pressure distribution, tenon angle, friction coefficient, rotational speed, and aerodynamic excitation on blade vibration characteristics. It provides a scheme and relevant basis for the design and development of tenon blades with the most damping effect at different speeds in industrial practice.

Automated summary

Based on the theory of elastic structure analysis, this paper establishes dynamic and macroslip hysteresis models for a rotating fir-tree blade considering rotational softening and centrifugal stiffening. Innovative pressure distribution model and relationship between fit clearance and contact pressure of the fir-tree tenon are proposed using elastic mechanics. The dynamic equation of the blade is solved iteratively and the effects of tenon angle, friction coefficient, rotational speed, and aerodynamic excitation on blade vibration characteristics are analyzed to provide insights for the design of tenon blades with optimal damping effect at different speeds in industrial practice.