受均匀内压作用涡旋齿根等效应力简化计算  

Simplified calculation on equivalent stress of vortex dedendum under the effect of uniform internal pressure

作　　者：强建国[1] 马晓[1] 刘振全[1] 

机构地区：[1]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《机械设计》2007年第11期45-48,共4页Journal of Machine Design

基　　金：国家教育部博士点基金资助项目(2005731002)

摘　　要：提出受均匀内压作用的涡旋齿根等效应力的简化计算方案,对所建立的72个涡旋体有限元模型施加端面固定约束和不同内压进行模拟,由模拟结果分析,并经规划得到了简化计算公式。研究表明:不同参数的涡旋齿根等效应力分布规律基本相同,随展角呈指数分布,与涡旋齿高和内压呈线性关系。涡旋齿末段对应展角大约为π/2的部分与其余部分应力分布差别明显,与末段大约涡旋齿理论初始展角α对应的部分应力变化急剧。在不考虑涡旋齿根部应力集中的情况下,涡旋齿根等效应力可进行分段简化计算。大量实例证明:除末段α部分外,简化计算的结果与有限元模拟结果误差较小,最大误差不超过5%。A simplified calculation scheme for the equivalent stress of vortex dedendum under the effect of uniform internal pressure was brought forward. Simulation has been carried out on the being established 72 finite element models of vortex body with the exertion of fixed end-surface constraint and different interior pressures. The simplified formula was obtained through planning from the analysis of simulated result. The research indicated that the distribution rules of equivalent stress of vortex dedendum with different parameters were basically identical and presented an exponential distribution along with the involute angles and revealed a linear relationship with the vortex addendum and interior pressures. There is evident difference in stress distribution between the portion of end segment of vortex tooth, which corresponds to approximately π/2 of the portion of involute angle, and the rest portion. The portion that corresponds with the theoretical initial involute angle a of the vortex tooth at the end segment had rapid changes in stress. Under the circumstances of no consideration on the stress concentration at the root of vortex tooth, the equivalent stress at the root of vortex tooth can be carried out by simplified calculation of segmentation. Large numbers of living examples testified that except the α portion of end segment, there was less error between the result of simplified calculation and that of the finite element simulation, and the maximum error was not more then 5%.

关 键 词：涡旋机械 涡旋齿根 等效应力 简化计算 

分 类 号：TU393.3[建筑科学—结构工程]