基于SIMP模型的微电容加速度计结构拓扑优化

摘要

基于连续体结构拓扑优化的SIMP材料插值模型,以微电容加速度计结构弹性梁和质量块检测方向的柔度最大化,非检测方向的柔度最小化为综合相对柔度目标,以检测方向的谐振频率尽可能小于非检测方向谐振频率为抗横向干扰能力目标,一定体积比作为约束条件,建立了微电容加速度计弹性梁和质量块结构拓扑优化设计模型,采用优化准则算法进行迭代求解计算,通过二维数值算例验证了优化模型的有效性,为研究微电容加速度计结构优化设计提供了一种新的思路和方法.%Based on the SIMP material interpolation model of the continuum structural topology optimization , to maximize the detect direction flexibility of elastic beam and mass-block structure of micro capacitive—accelerometer and to minimize the flexibility of non-detect direction as the relative compliance objectives,and with the resonant frequency of detect direction less than its non-detect direction as anti-transverse interference tar get, and the volume as the constrained condition,the topology optimization model for the elastic beam and mass-block structure of micro capacitive- accelerometer is established,and two numerical examples verified the effectiveness of this approach by adopting optimization criterion algorithm, providing the new ideas and methods for the study of the structural optimization design for micro- capacitive accelerometer.