Analytical modelling and experiments for hybrid multiaxis flexure hinges

Wei, Huaxian; Yang, Jian; Wu, Fupei; Niu, Xiaodong; Shirinzadeh, Bijan

doi:10.1016/j.precisioneng.2022.04.004

Cited by 24 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is assumed that all parts except the notch profile are sufficiently rigid and the axial deformation is neglected. At this case, the straight line through the free end (point Q 2 ) and perpendicular to the rigid block can be expressed as 36…”

Section: Characteristics Of Flexure Hingesmentioning

confidence: 99%

See 1 more Smart Citation

Modelling and performance analysis of a curvature-adjustable multiple-axis flexure hinge based on Bézier curve

Wang,

Yu,

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

In order to solve the uniqueness of the compliance equations and each notch profile, a curvature-adjustable multiple-axis flexure hinge with complex notch profiles is designed and investigated based on Bézier curve in this paper. The hinge can evolve into multiple-axis flexure hinges with single and hybrid, symmetric and asymmetric notch profiles composed of the ellipse, circle, hyperbola and parabola. In addition, analytical compliance equations in six degrees of freedom based on the Castigliano’s Second Theorem are proposed. Then, a simplified notch profile classification method based on a binary quadratic implicit equation is proposed. Moreover, analytical compliance equations are validated by finite element analysis. The maximum relative error between the finite element analysis and the analytical results is 6.07%. Finally, the compliance, precision of rotation and stress are investigated based on structural parameters. The results show that the change in the rotation centre does not significantly affect the axial and bending compliance for the flexure hinge with a specific single and flush Bézier curve notch profile. Moreover, the flexure hinge with a notch profile consisting of ellipse and hyperbola has the highest rotational precision. The proposed curvature-adjustable multiple-axis flexure hinge can provide more compliance options for the design of compliant mechanisms.

show abstract

Section: Characteristics Of Flexure Hingesmentioning

confidence: 99%

“…35 Additionally, Wei et al have analysed the compliance and experimental principles of hybrid multiple-axis flexure hinges. 36 Lastly, Ling et al have proposed a generalised flexure hinge based on a discrete-beam transfer matrix. 37 However, most of the above investigations need to rely on different compliance equations.…”

Section: Introductionmentioning

confidence: 99%

Modelling and performance analysis of a curvature-adjustable multiple-axis flexure hinge based on Bézier curve

Wang,

Yu,

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Multi-axis flexure hinges of circular cross sections, as shown in Figure 1(b), are also investigated due to the demand of multiple degrees-of-freedom spatial-motion compliant mechanisms applied to precise positioning applications. 22,23 Note the fact that studies on transverse cross section showed a deficiency in the related literature compared to longitude cross section, namely cutting notch. Ling et al 24 derived the closed-form equations of compliance and axial drift targetting for single/multi-axis arbitrary-notched flexure hinges with a step-by-step modelling procedure.…”

Section: Introductionmentioning

confidence: 99%

“…22 In our previous work, the analytical closed-form equations of compliance, deflection accuracy, and stress level under combined loads were developed to reveal the effects of the key parameters on mechanical properties. 23 In other words, it is still a significant challenge to derive generalized equations from obtaining the compliance, precision and stress level of existing cross-sectional hinges.…”

Section: Introductionmentioning

confidence: 99%

Generalized model and performance analysis of elliptical-fillet cross-sectional flexure hinges

Yang

Yan

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

This work presents the design and analytical model of a novel flexure hinge with variable elliptical-fillet cross-section, which can be considered as an extension of existing results on rectangular and/or circular cross-sectional flexure hinges. The closed-form solutions in full degrees of freedom were derived for the compliance, rotational precision, and the maximum von Mises stress under various loads. To validate the analytical model, the theoretical results were compared with finite element analysis based on a set of parabolic notched flexure hinges. Finally, numerical simulations were conducted to evaluate the impact of the cross-sectional geometric parameters on the compliance and stress performance of the flexure hinges. The proposed method casts a unified framework on extended flexure hinges with a cross-sectional shape, which facilitates the systematic optimizations and performance evaluations of flexure hinges in various configurations.

show abstract

“…Flexibility is an important index to evaluate the performance of compliant mechanism, which is closely related to the accuracy, stroke and dynamic and static mechanical properties of motion mechanism [3]. In recent years, research techniques are focused on the analysis of motion performance and the improvement of displacement accuracy on compliant mechanisms at home and abroad [4]. Research methods can be generally divided into three categories: motion analysis method, constraint analysis meth od and energy analysis method [5].…”

Section: Introductionmentioning

confidence: 99%

Flexibility Analysis of One-dimensional Compliant Guiding Mechanism

Qiang

Huang

Zhao

2023

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

To realize the requirements of the precision probe for the translational guidance of compliant mechanism, the expression of the movement screw of the parallelogram guide mechanism is proposed. The flexibility matrix is used to study the influence of the geometric structure and size of flexible units on the performance of the guide mechanism, and the finite element analysis is used for simulation. The results show that the flexibility matrix model is in good agreement with the simulation results, and the maximum relative error is 6.33%. The motion screw method provides a new idea for the study of the motion characteristics of compliant mechanisms.

show abstract

Analytical modelling and experiments for hybrid multiaxis flexure hinges

Cited by 24 publications

References 20 publications

Modelling and performance analysis of a curvature-adjustable multiple-axis flexure hinge based on Bézier curve

Modelling and performance analysis of a curvature-adjustable multiple-axis flexure hinge based on Bézier curve

Generalized model and performance analysis of elliptical-fillet cross-sectional flexure hinges

Flexibility Analysis of One-dimensional Compliant Guiding Mechanism

Contact Info

Product

Resources

About