Abstract: Aiming at the problems that the opposite angles blades'gravitational moment difference is difficult to guarantee and the blades'gravitational moment distribution is not balanced in the assembly sequence planning process of aero-engine fan rotors with odd blades,the assembly sequence planning technology of odd blades was studied.A single blade was divided into two to form 33 pairs of “conjoined twin blades”,and the original 33 rotor blades were converted into “66 virtual blades” to realize the conversion of the number of rotor blades from odd to even.Then,the opposite angles blades was found for each “virtual blade”,but the “conjoined twin blades” could not be truly separated or placed in the opposite angles position.The gravitational moment difference of the “two virtual blades” at the opposite angles position was taken as the constraint,the remaining unbalance of the rotor as the optimization goal to plan the assembly sequence of the rotor blades by using the improved simulated annealing algorithm,which provided an optimized assembly sequence for the assembly of the rotor blades and optimized the static balance quality of the rotor.The verification results of an example showed that the conversion of the number of blades “from odd to even” realized the accurate guarantee of the gravitational moment difference of the opposite angles blades,and met the design index of the gravitational moment difference of the opposite angles blades (≤1200g·mm),which provided an optimized assembly sequence for the assembly of rotor blades with an odd number of blades,and optimized the balance quality of the rotor.

Key words: gravitational moment difference of the opposite angles blades, conjoined twin blades, assembly sequence planning, improved simulated annealing algorithm

摘要： 针对航空发动机风扇转子奇数只叶片装配序列规划过程中存在的对顶角叶片重力矩差难以保证、叶片重力矩分布不够均衡的问题,研究了奇数只叶片的装配序列规划技术。首先,将单只叶片一分为二,形成33对“连体双胞胎叶片”,再转换成“66只虚拟叶片”,实现转子叶片数量“从奇变偶”的转换;然后,为每只“虚拟叶片”找到对顶角叶片,但是不能将“连体双胞胎叶片”真正分开或放在对顶角位置;最后,以对顶角位置上“两只虚拟叶片”的重力矩差为约束,以转子剩余不平衡量最小为优化目标,采用改进模拟退火算法规划动叶的装配序列,为转子装配提供优化的装配序列,优化转子的静平衡质量。实例验证表明,奇数只叶片数量“从奇变偶”转换,精确保证了对顶角叶片重力矩差,满足了设计部门给出的对顶角叶片重力矩差的设计指标（≤1200g·mm）,为奇数只叶片的转子动叶装配提供了优化的装配序列,并优化了转子的平衡质量。

关键词: 对顶角叶片重力矩差, 连体双胞胎叶片, 装配序列规划, 改进模拟退火算法