静不平衡测量系统柔性杠杆机构分析优化

以质心投影法为主要测量原理,柔性杠杆机构为桥梁,设计一套多框架机构静不平衡测量系统,分析测量原理特性表明:降低柔性杠杆输出端柔度能够有效提高系统测量精度。基于直圆型柔性铰链封闭方程,建立柔性杠杆的柔度模型,利用有限元分析软件Ansys验证柔度模型的准确性,并通过合理设计优化函数和约束条件,对柔性杠杆机构输入和输出端进行相应优化。结果表明:采用封闭方程建立柔度模型的方法是可行的,其柔度理论值与仿真值误差在9%以内,同时建立的优化函数切实可行,在力臂放大系数变化量仅为2%的前提下,杠杆输出端柔度降低了18.63%,增加了杠杆线性度范围,从而有效提高了静不平衡测量系统测量精度。

Analysis and design optimization of the performance in flexible lever mechanism for static unbalance measurement system

Based on the centroid projection method and flexible mechanism, a set of static unbalance measurement system was designed as well as reducing the flexible lever output flexibility, which could effectively improve the accuracy of measurement by analyzing the measuring principle and components characteristics. The flexible lever flexibility model was established by the circular flexure hinge closed equation, then the finite element analysis software Ansys was used to verify the exactness of the flexibility model. Through reasonable optimization function and constraint conditions, the performance of the input and output in flexible lever mechanism were optimized. The result showed that it was feasible to establish the model flexibility by using the closed-form equation. The error between theoretical value and simulation value was within 9%, and the optimization function was feasible. Under the premise that variation of the lever amplification coefficient was only 2%, leverage output flexibility was reduced by 18.63%. The optimizing result showed that the leverage linearity range was increased to effectively improve the measuring accuracy of static unbalance measurement system.