Optimization for a Flexure Hinge Using an Effective Hybrid Approach of Fuzzy Logic and Moth-Flame Optimization Algorithm

Abstract

Flexure hinge is a critical element in a positioner of a nanoindentation tester. To effectively work, a suitable flexure hinge should simultaneously meet multiple objectives, including rotation axis shift, safety factor, and angular deflection. The main aim of this article was to illustrate a hybrid method of the Taguchi method, fuzzy logic, response surface method, and Moth-flame optimization algorithm to solve the design optimization of a flexure hinge in order to enhance the three quality characteristics of the flexure hinge. Firstly, four common flexure hinges are compared together to seek the best suitable one. Secondly, numerical experiments are gathered via the Taguchi-based detasFlex software. Thirdly, three objective functions are transferred into signal to noises in order to eliminate the unit differences. Later on, fuzzy modeling is proposed to interpolate these three objective functions into one integrated objective function. An integrated regression equation is built using the response surface method. Finally, the flexure hinge is optimized by the Moth-flame optimization algorithm. The results found that the rotation axis shift is 10.944∗10−5 mm, the high safety factor is 2.993, and the angular deflection is 52.0058∗10−3 rad. The verifications are in a suitable agreement with the forecasted results. An analysis of variance and sensitivity analysis are also performed to identify the effects and meaningful contributions of input variables on the integrated objective function. In addition, employing the Wilcoxon signed rank test and the Friedman test, the results find that the proficiency of the proposed method has more benefits than the ASO algorithm and the GA. The results of this research provide a beneficial approach for conducting complicated multiobjective optimal problems.

Optimization for a New XY Positioning Mechanism by Artificial Neural Network-Based Metaheuristic Algorithms

“…The entire dimension of the stage is approximately 328 mm × 328 mm × 10 mm. In this research, elliptical hinges are proposed to integrate into XY stage because its benefits (e.g., minimal rotation axis shift, good safety factor, and large angular deflection) [ 40 ]. Besides, the zigzag-based flexure hinges and leaf hinges are developed and integrated in the stage in order to reduce parasitic motion and obtain more large displacement.…”

“…In this study, the certain angle to the transverse and axial directions in the lever-type compliant amplifers are aimed to reduce the mass of the amplifer, i.e., decreasing in unessential cross section of lever amplifer but still ensure a large amplifcation ratio. [40]. Besides, the zigzag-based fexure hinges and leaf hinges are developed and integrated in the stage in order to reduce parasitic motion and obtain more large displacement.…”

Migration-Based Moth-Flame Optimization Algorithm

“…In addition, the algorithm is enhanced by the addition of a flame generation strategy and death mechanism. Dang et al [107] brought up a hybridization of MFO and three different methods, including the Taguchi method, fuzzy logic, and response surface method, to solve the flexure hinge design problem. SMFO has been recently proposed by [97] to enhance the solution quality and convergence speed of the MFO by introducing the sine cosine strategy to the MFO algorithm.…”

An Improved Moth-Flame Optimization Algorithm with Adaptation Mechanism to Solve Numerical and Mechanical Engineering Problems

“…Chen et al [ 96 ] introduced SMFO to improve the exploration capability of MFO by integrating it with the sine cosine strategy. An enhanced MFO algorithm was proposed by MP Dang et al [ 113 ] which is a hybridization of MFO and three different methods to solve the design problem of a flexure hinge. Mittal [ 114 ] brought up an enhanced moth-flame optimization by integrating MFO and variable neighborhood search to boost search capabilities and convergence accuracy of the canonical MFO.…”