Design of micro-electromagnetic drive on reciprocally rotating disc used for micro-gyroscopes

Tsai, Nan-Chyuan; Liou, Jiun-Sheng; Lin, Chien-Hung; Li, Tuan

doi:10.1016/j.sna.2009.10.019

Cited by 33 publications

(12 citation statements)

References 17 publications

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“…In this section, some numerical results are obtained and represented in Figs. 4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 and 23 in order to illustrate the current solution of the FGP micro-rotating cylinder problem, where the effects of flexoelectricity, non-homogeneity constant, magnetic field, angular velocity and characteristic length parameter on the radial and circumferential stresses, radial displacement and electric potential distributions along the cylinder thickness are graphically shown. The mechanical and electric properties of lead zirconate titanate (PZT-4) for the FGP micro-rotating cylinder are listed in Table 1 [ are adopted based on [55,85,86].…”

Section: Fgp Micro-rotating Cylinder Problemmentioning

confidence: 99%

“…Therefore, the stress components are obtained using Eqs. (6) and (47): and the mechanical boundary conditions utilizing Eqs. (26) and (47).…”

Section: (38)mentioning

confidence: 99%

“…Piezoelectric micro-and nanostructures, such as piezoelectric micro-and nano-beams, plates and shells, are considered as ideal candidates for design of more complicated devices in micro-and nano-electromechanical systems (MEMS and NEMS) [3,4]. Among them, micro-rotating cylinders have been broadly applied in microelectronic and micro-mechanical systems such as MEMS instruments [5], micro-gyroscopes [6,7], micro-motors [8,9], micro-milling tools and micro-grinding wheels [10,11].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Dini

Shariati

Zarghami

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, a size-dependent analysis of functionally graded piezoelectric (FGP) micro-rotating cylinder is presented based on the plane strain condition and strain gradient theory, which is a non-classical theory capable of capturing the size effect in microscaled structures. The present model is used to analyze the FGP micro-rotating cylinder with the consideration of flexoelectric effects exposed to a symmetric magneto-electro-mechanical loading. All mechanical and electrical properties are assumed to be graded in the thickness direction according to a power-law distribution. With respect to the fifth-order strain gradient coefficient and electromechanical coupling, the constitutive equations are obtained from electric Gibbs free energy density, which is a function of strain, second-order deformation gradient and electric field. By substituting the constitutive equations in electric and mechanical equilibrium equations, two coupled electromechanical governing differential equations in terms of radial displacement and electric potential are derived considering centrifugal force and Lorentz magnetic force obtained from Maxwell's relations. The generalized differential quadrature method is proposed to solve the coupled governing differential equations. Numerical results attained from the strain gradient elasticity reveal the effects of flexoelectric, microstructural length scale, non-homogeneity constant, rotation and magnetic field on the response of the FGP micro-rotating cylinder.

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Section: Fgp Micro-rotating Cylinder Problemmentioning

confidence: 99%

“…Therefore, the stress components are obtained using Eqs. (6) and (47): and the mechanical boundary conditions utilizing Eqs. (26) and (47).…”

Section: (38)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Dini

Shariati

Zarghami

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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“…Rotating disks in size of micron and submicrons are widely used for different purposes such as micromotors, MEMS and gyroscopes. Tsai et al [2010] carried out an analytical investigation on reciprocally micro-rotating disks used in the micro-gyroscopes and designed a new model for the micro-electromagnetically driven ones. Some researchers have studied the effect of different parameters on the performance of rotating micro-disks [Lee et al, 2005;Tsai et al, 2009Tsai et al, , 2011.…”

Section: Introductionmentioning

confidence: 99%

Stress Analysis of a Functionally Graded Micro/ Nanorotating Disk with Variable Thickness Based on the Strain Gradient Theory

Baghani

Heydarzadeh

Roozbahani

2016

Int. J. Appl. Mechanics

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In this paper, mechanical response of a micro/nanorotating disk made of functionally graded materials (FGMs) with variable thickness is investigated. Through utilizing variational method and considering the strain gradient theory, the governing equations and the boundary conditions are derived. In order to verify the developed formulation, in special limiting cases, the results are compared with those available in the literature. These comparisons show an excellent correspondence. Employing numerical techniques, some numerical results are presented to investigate the effect of variations of properties and thickness on the response of the small scale rotating disk. It is found that the non-homogeneity constants have a remarkable effect on the stress distribution in the FG rotating disk. Furthermore, the amount of stress could be reduced in the rotating disk through fabricating it with variable thickness.

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“…In addition, the recent developments in microfabrication technology have introduced significant reduction in mass and volume of permanent magnets (PMs). These developments have encouraged researcher to build PMs-based miniature designs [18], [19]. In general, a positioning stage consists of drives, mechanical structure (or platform), and feedback sensors.…”

mentioning

confidence: 99%

A Long Stroke Electromagnetic $XY$ Positioning Stage for Micro Applications

Khan

Bencheikh

Prelle

et al. 2012

IEEE/ASME Trans. Mechatron.

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Design of micro-electromagnetic drive on reciprocally rotating disc used for micro-gyroscopes

Cited by 33 publications

References 17 publications

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Stress Analysis of a Functionally Graded Micro/ Nanorotating Disk with Variable Thickness Based on the Strain Gradient Theory

A Long Stroke Electromagnetic $XY$ Positioning Stage for Micro Applications

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