Multiresponse Optimization for a Novel Compliant Z-Stage by a Hybridization of Response Surface Method and Whale Optimization Algorithm

A novel compliant z-stage is applied for positioning and indenting a specimen in nano/microindentation testing system. For an excellent operation, the proposed z-stage can concurrently satisfy multicriteria comprising high safety factor, small parasitic motion, and large output displacement. The key aims of this article are to present a novel design of the compliant z-stage as well as an effective integration methodology of Taguchi method, response surface method, weight factor calculation based on signal to noise, and the whale optimization algorithm to resolve a design optimal problem so as to enrich the quality performances of the proposed stage. Primarily, the z-stage is designed based on four-lever amplifier, compliant hinge shifted arrangement mechanism, zigzag-based flexure spring guiding mechanism, and symmetric six leaf hinges-based parallel guiding mechanism. Secondly, the number experiment data are achieved by the Taguchi method and finite element analysis. Subsequently, the regression functions among input variables and quality characteristics are formed by exploiting response surface method. In addition, the weight factors for every characteristic are defined. Additionally, the sensitivity analysis is accomplished for determining influences of input variables on quality responses. Ultimately, based on regression equations, the whale optimization algorithm is executed to define the optimal factors. The consequences indicated that the output deformation is about 454.55 μm and the safety factor is around 2.38. Furthermore, the errors among the optimal consequences and the confirmations for the safety factor and output deformation are 7.12% and 4.25%, correspondingly. By using Wilcoxon and Friedman methods, the results revealed that the proposed algorithm is better than the cuckoo search algorithm. Based on the quality convergence characteristics of hybrid approach, the proposed method is proficient for resolving complicated multiobjective optimization.

[1]  Tarik A. Rashid,et al.  A Systematic and Meta-Analysis Survey of Whale Optimization Algorithm , 2019, Comput. Intell. Neurosci..

[2]  Samiran Chattopadhyay,et al.  Storage and Bandwidth Optimized Reliable Distributed Data Allocation Algorithm , 2019, Int. J. Ambient Comput. Intell..

[3]  D. Gweon,et al.  Development of a novel 3-degrees of freedom flexure based positioning system. , 2012, The Review of scientific instruments.

[4]  Hossam Faris,et al.  Optimizing connection weights in neural networks using the whale optimization algorithm , 2016, Soft Computing.

[5]  Q. H. Zhai,et al.  Whale Optimization Algorithm for Multiconstraint Second-Order Stochastic Dominance Portfolio Optimization , 2020, Comput. Intell. Neurosci..

[6]  Tung-Hsu Hou,et al.  Parameters optimization of a nano-particle wet milling process using the Taguchi method, response surface method and genetic algorithm , 2007 .

[7]  Dilbag Singh,et al.  Multiobjective evolutionary optimization techniques based hyperchaotic map and their applications in image encryption , 2020, Multidimensional Systems and Signal Processing.

[8]  Vijay M. Khadse,et al.  Statistical Study of Machine Learning Algorithms Using Parametric and Non-Parametric Tests: A Comparative Analysis and Recommendations , 2020, Int. J. Ambient Comput. Intell..

[9]  Zhiwei Zhu,et al.  A novel hybrid actuation mechanism based XY nanopositioning stage with totally decoupled kinematics , 2018 .

[10]  Qingsong Xu,et al.  Design of a flexure-based constant-force XY precision positioning stage , 2017 .

[11]  Sankalap Arora,et al.  Chaotic whale optimization algorithm , 2018, J. Comput. Des. Eng..

[12]  Michaël Gauthier,et al.  Control of a particular micro-macro positioning system applied to cell micromanipulation , 2006, IEEE Transactions on Automation Science and Engineering.

[13]  A. Chowdhury,et al.  Cuckoo search algorithm for economic dispatch , 2013 .

[14]  Fereidoon Delfanian,et al.  Material elastic–plastic property characterization by nanoindentation testing coupled with computer modeling , 2013 .

[15]  Hua Liu,et al.  Design and development of a novel monolithic compliant XY stage with centimeter travel range and high payload capacity , 2018 .

[16]  Dilbag Singh,et al.  Color image encryption using minimax differential evolution-based 7D hyper-chaotic map , 2020, Applied Physics B.

[17]  Thanh-Phong Dao,et al.  Multiresponse Optimization of a Compliant Guiding Mechanism Using Hybrid Taguchi-Grey Based Fuzzy Logic Approach , 2016 .

[18]  Thanh-Phong Dao,et al.  Robust parameter design for a compliant microgripper based on hybrid Taguchi-differential evolution algorithm , 2018 .

[19]  Harish Garg,et al.  A Hybrid GA-GSA Algorithm for Optimizing the Performance of an Industrial System by Utilizing Uncertain Data , 2015 .

[20]  Imtiaz Ahmed Choudhury,et al.  Application of Taguchi method in the optimization of end milling parameters , 2004 .

[21]  Thanh-Phong Dao,et al.  Optimization for a Flexure Hinge Using an Effective Hybrid Approach of Fuzzy Logic and Moth-Flame Optimization Algorithm , 2021, Mathematical Problems in Engineering.

[22]  Amir Hossein Gandomi,et al.  Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems , 2011, Engineering with Computers.

[23]  R. Rao,et al.  Multi-objective optimization of heat exchangers using a modified teaching-learning-based optimization algorithm , 2013 .

[24]  Harish Garg,et al.  A hybrid PSO-GA algorithm for constrained optimization problems , 2016, Appl. Math. Comput..

[25]  Thanh-Phong Dao,et al.  A multi-objective optimization design for a new linear compliant mechanism , 2020, Optimization and Engineering.

[26]  Thanh-Phong Dao,et al.  Analytical Model and Computing Optimization of a Compliant Gripper for the Assembly System of Mini Direct-Current Motor , 2021, Int. J. Ambient Comput. Intell..

[27]  Thanh-Phong Dao,et al.  A multi-response optimal design of bistable compliant mechanism using efficient approach of desirability, fuzzy logic, ANFIS and LAPO algorithm , 2020, Appl. Soft Comput..

[28]  Amitava Chatterjee,et al.  A new social and momentum component adaptive PSO algorithm for image segmentation , 2011, Expert Syst. Appl..

[29]  Chander Prakash,et al.  Multi-objective optimization of powder mixed electric discharge machining parameters for fabrication of biocompatible layer on β-Ti alloy using NSGA-II coupled with Taguchi based response surface methodology , 2016 .

[30]  Qingsong Xu,et al.  Design and testing of a novel multi-stroke micropositioning system with variable resolutions. , 2014, The Review of scientific instruments.

[31]  Sunpreet Singh,et al.  Multi-objective particle swarm optimization of EDM parameters to deposit HA-coating on biodegradable Mg-alloy , 2018, Vacuum.

[32]  Mohammad Mohammadhassani,et al.  Selection of the most influential parameters on vectorial crystal growth of highly oriented vertically aligned carbon nanotubes by adaptive neuro-fuzzy technique , 2020, International Journal of Hydromechatronics.

[33]  J. Nohava,et al.  Novel ultra nanoindentation method with extremely low thermal drift: Principle and experimental results , 2009 .

[34]  Zhaojun Yang,et al.  Experimental research on a modular miniaturization nanoindentation device. , 2011, The Review of scientific instruments.

[35]  Kok Kiong Tan,et al.  Design, Modeling, and Control of Piezoelectric Actuators for Intracytoplasmic Sperm Injection , 2007, IEEE Transactions on Control Systems Technology.

[36]  Thanh-Phong Dao,et al.  Machining parameter optimization in shear thickening polishing of gear surfaces , 2020 .

[37]  R. Venkata Rao,et al.  Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems , 2011, Comput. Aided Des..

[38]  R. V. Rao,et al.  Constrained design optimization of selected mechanical system components using Rao algorithms , 2020, Appl. Soft Comput..

[39]  Harish Garg,et al.  A hybrid GSA-GA algorithm for constrained optimization problems , 2019, Inf. Sci..

[40]  Yuen Kuan Yong,et al.  Design of a compact serial-kinematic scanner for high-speed atomic force microscopy: An analytical approach , 2012 .

[41]  Yanling Tian,et al.  Design and Control of a Compliant Microgripper With a Large Amplification Ratio for High-Speed Micro Manipulation , 2016, IEEE/ASME Transactions on Mechatronics.

[42]  Andrew Lewis,et al.  The Whale Optimization Algorithm , 2016, Adv. Eng. Softw..

[43]  Hieu Giang Le,et al.  Efficient Hybrid Method of FEA-Based RSM and PSO Algorithm for Multi-Objective Optimization Design for a Compliant Rotary Joint for Upper Limb Assistive Device , 2019, Mathematical Problems in Engineering.

[44]  R. Venkata Rao,et al.  Teaching-Learning-Based Optimization: An optimization method for continuous non-linear large scale problems , 2012, Inf. Sci..

[45]  Qingsong Xu.  Structure design of a new compliant gripper based on Scott-Russell mechanism , 2013, 2013 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[46]  Zeeshan Ali,et al.  Complex neutrosophic generalised dice similarity measures and their application to decision making , 2020, CAAI Trans. Intell. Technol..

[47]  Majid Khorami,et al.  The effects of particle swarm optimization and genetic algorithm on ANN results in predicting pile bearing capacity , 2019, International Journal of Hydromechatronics.

[48]  Yangmin Li,et al.  Development and assessment of a novel hydraulic displacement amplifier for piezo-actuated large stroke precision positioning , 2013, 2013 IEEE International Conference on Robotics and Automation.

[49]  Weihai Chen,et al.  A monolithic microgripper with high efficiency and high accuracy for optical fiber assembly , 2014, 2014 9th IEEE Conference on Industrial Electronics and Applications.

[50]  Shuo-Hung Chang,et al.  A precision piezodriven micropositioner mechanism with large travel range , 1998 .

[51]  Hassan Bevrani,et al.  Application of GA optimization for automatic generation control design in an interconnected power system , 2011 .

[52]  Hu Huang,et al.  A novel and compact nanoindentation device for in situ nanoindentation tests inside the scanning electron microscope , 2012 .

[53]  Nilanjan Dey,et al.  Particle swarm optimization trained neural network for structural failure prediction of multistoried RC buildings , 2016, Neural Computing and Applications.

[54]  Thanh-Phong Dao,et al.  Multi-objective Optimal Design of a 2-DOF Flexure-Based Mechanism Using Hybrid Approach of Grey-Taguchi Coupled Response Surface Methodology and Entropy Measurement , 2016 .

[55]  C. Kandilli,et al.  Optimisation design and operation parameters of a photovoltaic thermal system integrated with natural zeolite , 2020, International Journal of Hydromechatronics.