用桨角力学原理计算涡轮叶片各桨角上三个应力的数学方法

A mathematical method for calculating the three stresses on turbine blade from axiom of sine function at every angle

用实验和计算的方法对涡轮机叶片在流体场中的叶片受力面进行了分析。用三个正弦函数原理的公式来计算分析同一角度上叶片的合力FR(φ),叶片径向推力Fx(φ),轴向推力Fy(φ),并阐述了这三个桨角力学原理在实际应用中的数学模型。

This paper analyses the surface stresses on turbine's blade with experiment and calculating when turbine is working in flow field. Calculates blade's compound stress F_R(φ), span push force F_x(φ), axial push force F_y(φ) using three formulas in axiom of sine function, as blade's angle is equivalence. At last, expounds how to set up the mathematical model by three axioms from mechanics of propeller-blade angle, and applies them in actuality.