Modelling and optimization of compound lever-based displacement amplifier in a MEMS accelerometer

Nikul Jani, Rakesh Tirupathi, P. Krishna Menon, Ashok Kumar Pandey
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Abstract

Compliant mechanisms have been realized as a potential tool to enhance the sensitivity of MEMS accelerometers through displacement amplification. In this article, optimization of a compound lever-based compliant mechanism has been carried out for the inclusion in MEMS accelerometer. The compliant displacement amplifier has been studied using the pseudo-rigid body approach and expressions for the displacement and fundamental natural frequency have been derived for the MEMS accelerometer. Further, for a range of values of the selected parameters, a detailed comparison has been made between the outcomes of the considered pseudo-rigid body-based approach and FEA simulations. Based on the derived mathematical model, optimization has been carried out for the best performance of the MEMS accelerometer. Using switched capacitor-based signal conditioning, output voltage has been calculated for the given input signal. Performance of displacement amplifier based MEMS accelerometer has been compared with the conventional one for sensitivity and nonlinearity. In this work, using a comparatively smaller size of proof mass, the higher figure of merits has been achieved in terms of natural frequency and amplified displacement of sense comb fingers.

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MEMS 加速度计中基于复合杠杆的位移放大器的建模和优化
人们已经意识到,顺应机构是通过位移放大提高 MEMS 加速计灵敏度的潜在工具。本文对基于复合杠杆的顺应机构进行了优化,以便将其纳入 MEMS 加速计。采用伪刚体方法对顺应式位移放大器进行了研究,并得出了 MEMS 加速计的位移和基本固有频率表达式。此外,针对所选参数的一系列值,还对基于伪刚体方法和有限元分析模拟的结果进行了详细比较。根据得出的数学模型,对 MEMS 加速计进行了优化,以获得最佳性能。利用基于开关电容器的信号调节,计算了给定输入信号的输出电压。基于位移放大器的 MEMS 加速计的性能与传统加速计的灵敏度和非线性进行了比较。在这项工作中,由于使用了体积相对较小的验证质量,因此在固有频率和感测梳状手指的放大位移方面取得了更高的优势。
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