基于包容球理论的大型桨叶去重平衡的优化研究

The Optimization of Weight Removing and Balancing for Large Blade Based on Minimum Enclosing Ball Theory

由于桨叶在成型加工过程中受制造精度、材料缺陷及装配误差等非设计因素的影响,导致组合式船用螺旋桨的实际重心位置与理论设计重心位置不一致,无法满足实际需要和工程应用,因而需要对重心不合格的桨叶进行去重处理以修正重心误差。针对去重最优化要求,提出基于最小包容球理论的重心误差最小包容球概念,建立多桨叶间的重心位置关系,用以描述组合式桨的重心误差范围,还提出相应的去重工艺球算法,来判断桨叶是否需要进行去重处理。为了验证误差包容球和去重球理论,建立相关桨叶的参数化模型,应用sobol算法和TSearch算法进行优化,并确定去重区域,可得到满足条件的去重参数。结果表明,将包容球理论应用于组合式船用桨的去重优化,可实现船桨的重心误差修正且满足其动平衡性能要求。

In the process of blade manufacturing, there exist the influences of manufacturing precision, material defects, assembling errors and other non-design factors, which cause the actual barycenter of modular marine propeller is inconsistent with the theoretical barycenter. Hence, it is necessary to correct the errors of barycenter position of blade by weight removing so as to satisfy the actual requirements and engineering applications. For the optimization of weight removing, it proposes the concept of minimum error containing ball based on the theory of minimum enclosing ball, and establishes the barycenter relationships in multi-blades to describe the error range of the barycenter for modular marine propeller. It also proposes the algorithm of removal processing ball for weight removing in order to judge whether the blade needs to handle or not. To verify the theories of minimum containing ball and removal processing ball about the barycenter, the parametric model of relevant blade is established. After applying sobol algorithm and TSearch algorithm to optimize the model, the weight removing area can be determined and the removing parameters which meet the conditions can be also obtained. The results indicate that to apply the enclosing ball theory to the optimization of weight removing can correct the barycenter errors and satisfy the requirements of dynamic balancing performance.