2019
DOI: 10.1007/s42452-019-0867-8
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Longitudinal vibration responses of axially functionally graded optimized MEMS gyroscope using Rayleigh–Ritz method, determination of discernible patterns and chaotic regimes

Abstract: Axial vibration analysis of an optimized MEMS gyroscope is investigated in this paper. For this purpose; a model of rotating, axially functionally graded (tapered) nano-rod is represented. Along with classical continuum mechanics, Eringen's non-local theory is adopted. Using Hamilton's variational approach along with coupled displacement field concept which is derived from Babaei and Yang, governing equations of motion are derived. Rayleigh-Ritz approximate method is used to solve the equation for both clamped… Show more

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Cited by 14 publications
(7 citation statements)
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“…The first approach is to describe analytically the physical phenomena under study like in our solution N-WLCx discussed in this work [16]. The second approach is to work deeply on the performance of the actual machine learning algorithms as it may be suggested by works such as [17]. The idea here is to adapt the standard machine learning algorithms to our specific need.…”
Section: Resultsmentioning
confidence: 99%
“…The first approach is to describe analytically the physical phenomena under study like in our solution N-WLCx discussed in this work [16]. The second approach is to work deeply on the performance of the actual machine learning algorithms as it may be suggested by works such as [17]. The idea here is to adapt the standard machine learning algorithms to our specific need.…”
Section: Resultsmentioning
confidence: 99%
“…The MEMS inertial device is mainly composed of a basic beam, spring, and mass block. The MEMS inertial device is easily influenced by temperature, rotation speed, attached mass, instant temperature field, material distribution, geometry, and dimension size [ 97 , 98 , 99 , 100 , 101 , 102 ], resulting in structure stress concentration, thermal stress, unstable resonant frequency, and other adverse phenomena. Therefore, in order to better design the MEMS/NEMS device, it is necessary to consider stress release, temperature insensitivity, geometric structure, scale effect, driving/detection mode, appropriate non-classical parameters, and rod model [ 97 , 98 , 99 , 100 , 101 , 102 ].…”
Section: Discussionmentioning
confidence: 99%
“…Huiliang Cao et al designed different methods to compensate the temperature energy influence drift of the MEMS gyroscope [19]. Alireza Babaei investigated the relationship between optimized MEMS axial vibration frequency and taper parameters [20]. Xu Z analyzed the performance and accuracy of HRG with uneven electrostatic force caused by obvious uneven capacitance gap [21].…”
Section: Introductionmentioning
confidence: 99%