{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T15:20:24Z","timestamp":1760368824691,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2009,4,1]],"date-time":"2009-04-01T00:00:00Z","timestamp":1238544000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>High force, large displacement and low voltage consumption are a primary concern for microgyroscopes. The chevron-shaped thermal actuators are unique in terms of high force generation combined with the large displacements at a low operating voltage in comparison with traditional electrostatic actuators. A Nickel based 3-DoF micromachined gyroscope comprising 2-DoF drive mode and 1-DoF sense mode oscillator utilizing the chevron-shaped thermal actuators is presented here. Analytical derivations and finite element simulations are carried out to predict the performance of the proposed device using the thermo-physical properties of electroplated nickel. The device sensitivity is improved by utilizing the dynamical amplification of the oscillation in 2-DoF drive mode using an active-passive mass configuration. A comprehensive theoretical description, dynamics and mechanical design considerations of the proposed gyroscopes model are discussed in detail. Parametric optimization of gyroscope, its prototype modeling and fabrication using MetalMUMPs has also been investigated. Dynamic transient simulation results predicted that the sense mass of the proposed device achieved a drive displacement of 4.1\u00b5m when a sinusoidal voltage of 0.5V is applied at 1.77 kHz exhibiting a mechanical sensitivity of 1.7\u03bcm \/o\/s in vacuum. The wide bandwidth frequency response of the 2-DoF drive mode oscillator consists of two resonant peaks and a flat region of 2.11 kHz between the peaks defining the operational frequency region. The sense mode resonant frequency can lie anywhere within this region and therefore the amplitude of the response is insensitive to structural parameter variations, enhancing device robustness against such variations. The proposed device has a size of 2.2 x 2.6 mm2, almost one third in comparison with existing M-DoF vibratory gyroscope with an estimated power consumption of 0.26 Watts. These predicted results illustrate that the chevron-shaped thermal actuator has a large voltage-stroke ratio shifting the paradigm in MEMS gyroscope design from the traditional interdigitated comb drive electrostatic actuator. These actuators have low damping compared to electrostatic comb drive actuators which may result in high quality factor microgyroscopes operating at atmospheric pressure.<\/jats:p>","DOI":"10.3390\/s90402389","type":"journal-article","created":{"date-parts":[[2009,4,1]],"date-time":"2009-04-01T05:51:50Z","timestamp":1238565110000},"page":"2389-2414","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Thermal Actuation Based 3-DoF Non-Resonant Microgyroscope Using MetalMUMPs"],"prefix":"10.3390","volume":"9","author":[{"given":"Rana Iqtidar","family":"Shakoor","sequence":"first","affiliation":[{"name":"Department of Chemical and Materials Engineering, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan"}]},{"given":"Shafaat Ahmed","family":"Bazaz","sequence":"additional","affiliation":[{"name":"Faculty of Electronics Engineering, GIK Institute of Engineering and Applied Sciences, Topi, NWFP, Pakistan"}]},{"given":"Michael","family":"Kraft","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, Southampton University, Highfield, Bld 86, 2033, Southampton, SO17 1BJ, UK"}]},{"given":"Yongjun","family":"Lai","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Queens University, Kingston, ON, K7L 3N6, Canada"}]},{"given":"Muhammad Masood","family":"Ul Hassan","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Queens University, Kingston, ON, K7L 3N6, Canada"}]}],"member":"1968","published-online":{"date-parts":[[2009,4,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1640","DOI":"10.1109\/5.704269","article-title":"Micromachined Inertial Sensors","volume":"86","author":"Yazadi","year":"1998","journal-title":"Proc. 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