An Optimal Design Method for Three-blade Root Blower Based on Best Area Utilization Factor
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摘要: 针对中小企业设计能力薄弱的实际情况,对三叶罗茨风机转子啮合情况进行了详细分析,建立了一种便捷的转子叶型设计方法:首先根据转子外圆半径R和中心距a,确定节圆压力角α,确定转子渐开线啮合起始点和终止点,进而确定渐开线发生线在基圆上的滚动角(α+α'),确定转子渐开线位置α'。在此基础上根据R0=2Z(R-a)ξ/π(0.787 8≤ξ≤0.927 7),基于最佳面积利用系数,利用现代优化算法确定最优R0,最后以工厂实例3L4系列罗茨风机渐开线转子叶型为例,详细介绍了转子设计和优化求解的过程。Abstract: In order to improve the capability of small and medium enterprises to design new products,the meshingof three-blade root blower was analyzed in detail, and a convenient way to design the blade shape of a rotor was pro-posed. Firstly,the pitch pressure angle according to the radius of base circle and center distance was determined;secondly,involute meshing rotor's start and end points were determined; thirdly,the roll angle of involutes' lineoccurred on the base circle was determined; fourthly, the rotor involutes' position was determined. Then, accordingto R0 =2Z(R-a)·ξ/π (0.787 8≤ξ≤0. 927 7),based on the best area utilization factor,the optimal value of R0 was determind by modern optimization algorithms. Finally,taking 3L4 series roots blower as example,details ofthe rotor design and optimization solution process was introduced.
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Key words:
- area utilization factor /
- blade shape of rotor /
- roots blower /
- involutes' curve /
- optimal design
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