中文摘要：

微团的传感器在 biomolecular 和化学察觉的地里吸引了增加的注意。结构的尺寸，形状，和几何学可以影响传感器的表演，这被发现了。作为结果，拓扑学优化方法论为微团的传感器的设计在这份报纸被建议。节的变量控制的一个阶段地函数和有限元素形状函数被用来处于构造优化问题描述一个传感器的配置。设计目标是最大化集体察觉敏感。根据这些明确的表达，一个优化算法用有限元素方法和动人的渐近线的方法被构造。数字例子被举表明建议问题明确的表达的有效性。结果建议微团的传感器的表演能被使用建议途径改进。

英文摘要：

Micro-mass sensors have attracted increasing attention in the field of biomolecular and chemical detec- tion. It has been found that the size, shape, and geometry of the structure may affect the performance of the sensor. As a result, a topology optimization methodology is proposed in this paper for the design of micro-mass sensors. A phase- field function controlled by nodal variables and finite element shape functions is used to describe the configuration of a sen- sor in the constructed optimization problem. The design goal is to maximize the mass detection sensitivity. On the basis of these formulations, an optimization algorithm is constructed using the finite element method and the method of moving asymptotes. Numerical examples are presented to demon- strate the validity of the proposed problem formulation. The results suggest that the performance of the micro-mass sensor can be improved by using the proposed approach.