三轴标准振动台簧片解耦结构遗传算法多参数优化设计

针对三轴标准振动台簧片解耦结构低固有频率及非线性特性导致的工作频率范围受限及输出振动波形严重失真等问题，首先基于确定的解耦结构关键参数及简化组合，通过Ansys模态和瞬态动力学分析，得到相应参数变化时三轴标准振动台的固有频率和输出波形失真特性。进一步，采用多元非线性回归法建立准确表征固有频率、失真度与关键结构参数间非线性变化关系的回归方程，并基于NSGA-II遗传算法对簧片解耦结构进行多参数优化，求解得到前3阶固有频率、弯曲振型固有频率最大可分别提升123.95%、166.85%及失真度最大可降低36.83%的最佳簧片结构参数。最后，实验测试表明最优簧片解耦结构对应的三轴标准振动台在固有频率及输出波形失真度两方面性能均得到提升，验证了簧片解耦结构遗传算法多参数优化设计的有效性，为其他多维柔性结构优化设计提供了参考。

Multi-parameter optimization design for leaf-spring decoupling structure of tri-axial standard vibrator based on the genetic algorithm

There are the problems of limited working frequency range and serious output vibration waveform distortion of a tri-axial standard vibrator, which are affected by the low natural frequency and nonlinear characteristics of the leaf-spring decoupling structure. Firstly, the natural frequency and output waveform distortion characteristics of the tri-axial standard vibrator under corresponding changing parameters are obtained through ANSYS modal and transient dynamic analyses based on the determined key parameter simplified combinations of the decoupling structure. In further, a multi-element nonlinear regression method is used to establish the regression equations that can accurately represent the nonlinear changing relationships between the natural frequency, distortion degree and key structural parameters. A multi-parameter optimization of the leaf-spring decoupling structure is implemented based on the NSGA-II genetic algorithm. The optimal leaf-spring structural parameters are obtained by increasing the first 3 natural frequencies and bending mode natural frequencies by 123. 95% and 166. 85% , respectively. The distortion is reduced by 36. 83% . Finally, the experimental test shows that the performance of the tri-axial standard vibrator corresponding to the optimal leaf-spring decoupling structure has been improved in both natural frequency and output waveform distortion, which evaluate the effectiveness of the multi-parameter optimization design of the leaf-spring decoupling structure based on the proposed genetic algorithm method. It provides a reference for the optimization design of other multi-dimensional flexible structures.