Designing force sensors with superior performance is always a challenging topic in the industry as well as in academia. This paper employs the moving morphable components method in order to design strain-gauge-based force sensors with high sensitivity and low cross-interference. The function of the Wheatstone bridge (half-bridge) is taken into account in the automatic design implementation to make it practically more feasible. Compared with our previous study on sensor design with only the high-sensitivity constraint, the further consideration of low cross-interference leads to a strict situation where the numerical iteration is hard to converge. To overcome this difficulty, three strategies are proposed, including a new description of the sensing areas, the modification of strain-gauge output constraints, and the iterative scheme with gradually shrinking bounds. Numerical examples demonstrate that these strategies perform very well and can ensure a robust iteration. Furthermore, the developed robust implementation is quite generic, which may be adopted in optimization problems with complex and strict constraints.

设计具有卓越性能的力传感器在业界和学术界一直是一个充满挑战的话题。为了设计基于应变片的力传感器，本文采用了可变形的运动分量法，具有较高的灵敏度和较低的交叉干扰。在自动设计实现中考虑了惠斯通电桥（半桥）的功能，使其实际上更可行。与我们以前对传感器设计仅具有高灵敏度约束的研究相比，对低交叉干扰的进一步考虑导致了一种严格的情况，即数值迭代难以收敛。为了克服这一困难，提出了三种策略，包括对传感区域的新描述，应变仪输出约束的修改，以及边界逐渐缩小的迭代方案。数值示例表明，这些策略可以很好地执行并且可以确保可靠的迭代。此外，所开发的鲁棒实现是相当通用的，可以在具有复杂且严格约束的优化问题中采用。