Predicting thermoelastic damping is crucial for the design of high Q MEMS devices. In the past, for the thermoelastic damping in microbeam resonators, Zener’s model (1937 Physical Review 52 230-5; 1938 Physical Review 53 90-9) and Lifshitz and Roukes’ model (2000 Physical Review B 61 5600-9) can give a reasonable prediction. However, the derivations of Zener’s model and Lifshitz and Roukes’ model are only suitable for a simple beam with no proof mass. The microbeam with a proof mass is a common element in many MEMS devices. In this paper, a general proof is presented that shows LR’s model is also valid for the TED in the microbeams with a proof mass. The derivation in this paper is based on a general case.

The article is put forward to using fuzzy control to improve brake stability, designing the fuzzy controller of automobile braking stability, determine the yawing moment control strategy. The simulation experiment indicates that braking stability of automobile that using fuzzy control has a good stability and security, the proposed control strategy can make automobile quickly recover to the expected driving lane after partial drove and maintain a good braking performance, the research shows that the proposed braking stability control strategy is effective and has certain significance for improving the safety of the automobile driving.

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