关键词: 磁悬浮重力补偿器, 低刚度, 隔振频率, 田口法, 遗传算法

Abstract: This paper designs and analyzes the structure and vibration isolation performance of a cylindrical magnetic levitation gravity compensator ( MLGC) ,achieving the physical characteristic of nearly constant levitation force within stroke range. The fundamental structure and operational principle of the MLGC are presented, followed by the derivation of its vibration isolation and control mathematical model, along with the design metrics for performance optimization. Subsequently,performance differences among various topological structures are compared,and a hybrid optimization strategy integrating the Taguchi method for experimental design and the NSGA-II genetic algorithm is implemented for structural optimization. The optimized MLGC exhibits a maximum levitation force changing rate of merely 72. 6 N / m within ± 1 mm stroke and an isolation frequency of 0. 46 Hz, achieving an advanced level for existing MLGCs, validating its significant potential in precision applications.