Prioritization determination of the four folded torsion beam for large rotation angle electrostatic actuation

Author(s):  
Qinghua Chen ◽  
Yanmei Li ◽  
Yingjun Chen
2021 ◽  
Vol 11 (15) ◽  
pp. 6872
Author(s):  
Chien-Sheng Liu ◽  
Yi-Hsuan Lin ◽  
Chiu-Nung Yeh

In keeping with consumers’ preferences for electromagnetic motors of ever smaller power consumption, it is necessary to improve the power efficiency of the electromagnetic motors used in unmanned aerial vehicles and robots without sacrificing their performance. Three-degree-of-freedom (3-DOF) spherical motors have been developed for these applications. Accordingly, this study modifies the 3-DOF spherical motor proposed by Hirata’s group in a previous study (Heya, A.; Hirata, K.; Niguchi, N., Dynamic modeling and control of three-degree-of-freedom electromagnetic actuator for image stabilization, IEEE Transactions on Magnetics 2018, 54, 8207905.) to accomplish a 3-DOF spherical motor for camera module with higher torque output in the large rotation angle. The main contribution of this study is to improve the static torque in the X- and Y-axes with an improved electromagnetic structure and a particular controlling strategy. In the structural design, eight symmetrical coils with specific coil combination are used instead of conventional four symmetrical coils. In this study, the development of the proposed 3-DOF spherical motor was constructed and verified by using a 3D finite-element method (3D FEM). The simulation results show that the proposed 3-DOF spherical motor has higher torque output in the large rotation angle when compared to the original 3-DOF spherical motor.


Author(s):  
Jing Zhang ◽  
Kai Yan ◽  
Ziming Kou

Two stiffness models for a flexible hinge with large rotation angle are established based on the pseudo-rigid body method and the series or parallel relationship of flexible units. Finite element simulation of the flexible hinge is conducted in ANSYS to verify the two stiffness models of the flexible hinge. A multi-objective optimization method is used to optimize the design parameters of the hinge. The stiffness models of the flexible hinge are used to establish the optimized objective function of an optimization model to improve the rotation angle of the hinge under a certain radial stiffness. After optimization, the rotation angle can reach 70 deg when the rotational and radial stiffnesses are 1.29 N·mm/rad and 1.37 N/mm.


Energies ◽  
2019 ◽  
Vol 12 (22) ◽  
pp. 4340
Author(s):  
Andrzej Smoleń ◽  
Lesław Gołębiowski ◽  
Marek Gołębiowski ◽  
Damian Mazur

The article presents an original method for numerical determination of the value of magnetic co-energy of a transverse construction motor. The aim of the developed method is initial determination of the co-energy value for the analyzed structure in the function of rotor rotation angle. The main requirement set to the presented method was the lowest possible complexity of the process computation, lack of the necessity to apply costly dedicated software, as well as creating construction 3D models. These requirements were met by applying specific cross-section/development of the analyzed machine geometry, as well as application of specific boundary conditions, which enabled reduction of the analyzed problem to solving a Poisson equation in 2D. The calculations were done with the Finite Element Method.


1971 ◽  
Vol 38 (1) ◽  
pp. 217-226 ◽  
Author(s):  
W. Schumann ◽  
C. Mylonas ◽  
R. Bucci

The determination of magnitude and principal direction of membrane and bending stress differences in plates or thin shells requires four independent items of information, such as the photoelastic retardations and principal directions in two birefringent coatings, one on each face. However, the superposition of a constant membrane and a linearly varying bending stress in general result in a change of direction of the total principal stress through the finite coating thickness. Such rotation of stress introduces considerable difficulties even in the direct determination of the photoelastic effect in known stress fields, and makes the inverse solution of stress distribution from birefringence impossible without additional techniques and data. This paper presents an explicit approximate inverse solution based on simple photoelastic observations in the two coatings, with only partial consideration of the effects of rotation. In its double, reversing path through a coating, polarized light is assumed to suffer the same changes as in a field of linearly varying stress of constant direction parallel to that at incidence and exit. The validity of the direct and inverse solutions was checked experimentally in square plates containing residual membrane stress and subjected to anticlastic bending of various magnitudes and directions. Agreement was very good, especially at the higher loads, even when large stress rotation occurred. Criteria for recognizing potentially inaccurate states with large rotation are also suggested. The proposed method should prove useful in the experimental study of shells.


Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2269
Author(s):  
Xiao-Ting He ◽  
Xue Li ◽  
Bin-Bin Shi ◽  
Jun-Yi Sun

The closed-form solution of circular membranes subjected to gas pressure loading plays an extremely important role in technical applications such as characterization of mechanical properties for freestanding thin films or thin-film/substrate systems based on pressured bulge or blister tests. However, the only two relevant closed-form solutions available in the literature are suitable only for the case where the rotation angle of membrane is relatively small, because they are derived with the small-rotation-angle assumption of membrane, that is, the rotation angle θ of membrane is assumed to be small so that “sinθ = 1/(1 + 1/tan2θ)1/2” can be approximated by “sinθ = tanθ”. Therefore, the two closed-form solutions with small-rotation-angle assumption cannot meet the requirements of these technical applications. Such a bottleneck to these technical applications is solved in this study, and a new and more refined closed-form solution without small-rotation-angle assumption is given in power series form, which is derived with “sinθ = 1/(1 + 1/tan2θ)1/2”, rather than “sinθ = tanθ”, thus being suitable for the case where the rotation angle of membrane is relatively large. This closed-form solution without small-rotation-angle assumption can naturally satisfy the remaining unused boundary condition, and numerically shows satisfactory convergence, agrees well with the closed-form solution with small-rotation-angle assumption for lightly loaded membranes with small rotation angles, and diverges distinctly for heavily loaded membranes with large rotation angles. The confirmatory experiment conducted shows that the closed-form solution without small-rotation-angle assumption is reliable and has a satisfactory calculation accuracy in comparison with the closed-form solution with small-rotation-angle assumption, particularly for heavily loaded membranes with large rotation angles.


2017 ◽  
Vol 14 (8) ◽  
pp. 1188-1192
Author(s):  
Chun Wu ◽  
Qianqing Qin ◽  
Guorui Ma ◽  
Zhitao Fu ◽  
Zhenliang Xu

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