Generalized Model and Configuration Design of Multiple-Axis Flexure Hinges

2022 ◽  
Vol 169 ◽  
pp. 104677
Author(s):  
Lijian Li ◽  
Dan Zhang ◽  
Haibo Qu ◽  
Yingjia Wang
Keyword(s):  
Configuration Design ◽  
Generalized Model ◽  
Flexure Hinges

A new generalized model for elliptical arc flexure hinges

2008 ◽  
Vol 79 (9) ◽  
pp. 095103 ◽  
Author(s):  
Guimin Chen ◽  
Xiaodong Shao ◽  
Xinbo Huang
Keyword(s):  
Generalized Model ◽  
Flexure Hinges

scholarly journals Generalized model for conic-V-shaped flexure hinges

2020 ◽  
Vol 103 (4) ◽  
pp. 003685042098121
Author(s):  
Jianyi Kong ◽  
Zhao Huang ◽  
Xiaodong Xian ◽  
Yingrui Wang ◽  
Puliang Yu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Nonlinear Equations ◽  
Polar Coordinates ◽  
Generalized Equations ◽  
Element Analysis ◽  
Generalized Model ◽  
New Class ◽  
Flexure Hinges ◽  
Dimensional Parameters

This paper presents a new class of flexure hinges, namely, conic-V-shaped flexure hinges (CFHs), which can be used as a generalized model for flexure hinges with profiles such as parabolic-V-shape, elliptical-V-shape, and hyperbolic-V-shape. Compliance and precision equations for the CFHs were derived as a set of nonlinear equations using Castigliano’s second theorem. The parameters of the nonlinear equations inputted to the compliance and precision matrices were based on the generalized equations used for conic curves in polar coordinates. Furthermore, the compliance equations were verified by means of finite element analysis and experiments. The errors in the finite element and experimental results were within 10% and 8% compared to the analytical results, respectively. Finally, the effects of dimensional parameters on the analytical model could be effectively analyzed by numerical simulations and comparisons.

Elliptical-Arc-Fillet Flexure Hinges: Toward a Generalized Model for Commonly Used Flexure Hinges

2011 ◽  
Vol 133 (8) ◽  
Author(s):  
Guimin Chen ◽  
Xiaoyuan Liu ◽  
Yunlei Du
Keyword(s):  
Finite Element ◽  
Strain Energy ◽  
Single Type ◽  
Flexure Hinge ◽  
Circular Arc ◽  
Generalized Model ◽  
Percent Error ◽  
New Class ◽  
Flexure Hinges ◽  
Hinge Model

Flexure hinges have been used to produce frictionless and backlashless transmissions in a variety of precision mechanisms. Although there are many types of flexure hinges available, designers often chose a single type of flexure hinge (e.g., circular flexure hinges) without considering others in the design of flexure-based mechanisms. This is because the analytical equations are unique to each kind of flexure hinge. This work offers a solution to this problem in the form of a generalized flexure hinge model. We propose a new class of flexure hinges, namely, elliptical-arc-fillet flexure hinges, which brings elliptical arc, circular-arc-fillet, elliptical-fillet, elliptical, circular, circular-fillet, and right-circular flexure hinges together under one set of equations. The closed-form equations for all the elements in the compliance and precision matrices of elliptical-arc-fillet flexure hinges have been derived. The analytical results are within 10 percent error compared to the finite element results and within 8 percent error compared to the experimental results. The equations for evaluating the strain energy and stress level for elliptical-arc-fillet flexure hinges are also provided. This model can be used as a complementary model for the generalized model for conic flexure hinges.

A generalized model for conic flexure hinges

2009 ◽  
Vol 80 (5) ◽  
pp. 055106 ◽  
Author(s):  
Guimin Chen ◽  
Xiaoyuan Liu ◽  
Hongwei Gao ◽  
Jianyuan Jia
Keyword(s):  
Generalized Model ◽  
Flexure Hinges

Cyclic and sequence-stratigraphic characteristics of the Vize-Serpukov deposits of the southern part of Moscow syncline

2018 ◽  
pp. 30-41
Author(s):  
R . R . Gabdullin ◽  
А. V. Bershov ◽  
Е. N. Samarin ◽  
N. V. Badulina ◽  
М. А. Afonin ◽  
...  
Keyword(s):  
Generalized Model ◽  
Sequence Stratigraphic ◽  
Biogenic Carbonate ◽  
Clastic Sediments

Composition and origin of Visean–Serpukhovian deposits of the Southern part of the Moscow syncline based upon generalizations of our own results and analysis of published and unpublished data were specified. The levels of karst-influenced rocks correspond to the shallowest biogenic carbonate organogeneous-clastic sediments of the initial and final phases of the eustatic cycle, i.e. the beginning of the transgression (the transgressive system of the tracts) and the end of the regression (the second half of the high-standing tract). In the karst cavities alluvial sands of the Oka river were found. A generalized model of the sequence was proposed and a sequential-stratigraphic interpretation of the studied section was carried out.

METHOD FOR ESTIMATING PARAMETERS OF GENERALIZED MODEL OF LUMINOSITY OF SPACE OBJECTS BASED ON DATA FROM DIFFERENT RANGES

2018 ◽  
pp. 57-62
Author(s):  
E. I. Gundrova ◽  
A. P. Lukyanov ◽  
A. V. Pruglo ◽  
S. S. Ravdin
Keyword(s):  
Phase Angle ◽  
Real Data ◽  
Model Data ◽  
Space Object ◽  
Distribution Law ◽  
Generalized Model ◽  
Measurement Results ◽  
Space Objects ◽  
Reference Distance

Previously, the authors have proposed a generalized model for estimating the distribution law parameters of luminosity of space objects, assuming that not only successful but also unsuccessful measurement results are taken into account. Estimation was done on the data of observations under similar conditions: phase angle, range, sensibility of the telescope. The algorithm under such limitations was tested on model data and real measurements. Therefore, obtained results showed that algorithm did not fit for cases of changing range of space objects. In this work, the new algorithm, that allows to merge information from different ranges to the observed space object, is proposed. In this case, luminosity values are reduced to the ones at a reference distance of 1000 km considering sensibility of the telescope. To obtain estimates of the parameters the Cramer-Mises-Smirnov criterion is used. This algorithm was tested on model data and results of its work on real data were obtained. The data showed correct work of the algorithm and also confirmed the practicability of organization the registration of unsuccessful measurements.

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