The Validity Analysis of Regression: Combining Uniform Experiment Design with Nonlinear Regression

The data topology structure of uniform experiment design (UD) is too complex to be reasonable regressed. In this paper, the principle and method of distinguish the training data and testing data were described to make a reasonable regression when uniform experiment design combined with support vector regression (SVR). Two equivalent ways which were the smallest enclosing hypersphere perceptron (SEH) and the enclosing simplex perceptron (ES) were provided to discover the topology relationship of the process parameter datum. To give an application, a series of experiments about laser cladding layer quality were conducted by UD to get the relationship of load, velocity and wearing capacity. Results showed that only the testing datum recommended by the two perceptrons got a good forecasting by SVR. Therefore, the two perceptrons could guide experiments with process parameter data of complex topology structure. Further, the application could be extended over a much wider field of experiments.

A Pure Mathematical Relationship between Pitch and Position for Stringed Instruments

In this paper, a simple mathematical model was proposed to answer such a question: what’s the relationship between the finger pressing position and the corresponding pitch for stringed instruments? Furthermore, we compared the theoretical results with measurement results which were obtained from a guitar to prove that the model we propose is reliable. Result shows that relative errors of theoretical results and measurement results are from 0.18% to 1.8%. The mathematics model is more concise, direct and clear than physical model.

Tooth Surface Design for Variable Transmission Ratio Bevel Gearing

A novel CAD method for tooth profile based on the gearing feature has been proposed in this paper, and this method could be applied to the variable transmission ratio and three-dimension situation. The two pitch curves of the two gears can be generated due to the given transmission ratio. The tooth profile curves are formed in each coordinate system of its pitch curve by the gearing process. Finally, the tooth profile could be extracted and translated into a real dimension by CAD method. It is provided a simply thought for tooth profile design to avoid so much complicated mathematical reasoning.

Laser Ablation and Chemical Oxidation Synergistically Induced Micro/Nano Re-entrant Structures for Super-Oleophobic Surface with Cassie State

Generally,re-entrant structures are a key part of fabricating superoleophobic surfaces,and this structure appears in almost all kinds of published research articles regarding superoleophobicity.However,the application of related fabrication methods is usually too complex and costly in real practice.In this paper,we present a simple method to generate micro-cauliflower structures,which work as re-entrant structures in microcone arrays,to promote the formation of superoleophobic surfaces.The heating process after alkali-assisted surface oxidation is the main reason for the appearance of a micro-ball structure,and the oxidation time can influence the size of the micro-ball.To the best of our knowledge,the influence of the heating process after alkali-assisted surface oxidation on the birth of the micro-ball structure is seldom researched.A low-surface-energy treatment was also analyzed in influencing the size of the re-entrant structure and its relative wettability.Droplets of 5μl of n-decane show contact angles of 155±1°on the as-prepared superoleophobic surface,and air pockets can be clearly seen underneath,indicating a stable Cassie contacting state and a promising application value in the near future.

Semi-analytical Stiffness Model of Bolted Joints in Machine Tools Considering the Coupling Effect

This study proposes an improved semi-analytical approach for contact stiffness modeling of bolted joints in a machine tool system.First,nonlinear contact stress distribution within a single-bolted joint is obtained from the simulation results of finite element analysis software.Second,employing the Hertz contact theory and fractal theory,the contact stiffness model of a single asperity is formulated,affording analytical expressions for normal and tangential contact stiffnesses of a single-bolted joint by integrating multi-asperities in the contact area.Subsequently,considering two test specimens as illustrations,the mode shapes and natural frequencies of the proposed model and modal analysis tests are compared,and the influence of coupling effects between two adjacent bolts is illustrated.The maximum error in the natural frequencies of the proposed approach is<2.73%relative to the experimental results.Finally,the measurements of frequency response functions on a box-in-box precision horizontal machine tool are conducted to demonstrate the accuracy and efficiency of the proposed model.The proposed model is highly efficient in revealing the influence of microcontact factors on the contact stiffness of bolted joints and in guiding the optimal functional design of bolt arrangements under the framework of virtual machine tools.

Recent progress in bio-inspired macrostructure array materials with special wettability—from surface engineering to functional applications

Bio-inspired macrostructure array(MAA,size:submillimeter to millimeter scale)materials with special wettability(MAAMs-SW)have attracted significant research attention due to their outstanding performance in many applications,including oil repellency,liquid/droplet manipulation,anti-icing,heat transfer,water collection,and oil–water separation.In this review,we focus on recent developments in the theory,design,fabrication,and application of bio-inspired MAAMs-SW.We first review the history of the basic theory of special wettability and discuss representative structures and corresponding functions of some biological surfaces,thus setting the stage for the design and fabrication of bio-inspired MAAMs-SW.We then summarize the fabrication methods of special wetting MAAs in terms of three categories:additive manufacturing,subtractive manufacturing,and formative manufacturing,as well as their diverse functional applications,providing insights into the development of these MAAMs-SW.Finally,the challenges and directions of future research on bio-inspired MAAMs-SW are briefy addressed.Worldwide efforts,progress,and breakthroughs from surface engineering to functional applications elaborated herein will promote the practical application of bio-inspired MAAMs-SW.

Hybrid Laser Ablation and Chemical Modification for Fast Fabrication of Bio-inspired Super-hydrophobic Surface with Excellent Self-cleaning,Stability and Corrosion Resistance

Although laser ablation is considered as a facile technique to fabricate bio-inspired super-hydrophobic surfaces,the issue is that the initial laser treated metallic surfaces show super-hydrophilic property.It will take a long period to reach super-hydrophobic state under ambient air.It is reported that these super-hydrophobic surfaces could be easily damaged by thermal heating effect or interaction with other liquids,causing uncontrolled loss of super-hydrophobicity.In this study,a stable super-hydrophobic aluminum surface was rapidly fab-ricated via the hybrid laser ablation and surface chemical modification of(heptadecafluoro-1,1,2,2-tetradecyl)triethoxysilane(AC-FAS).Surface morphology and chemistry were systematically investigated to explore the generation mechanism of super-hydrophobicity.The water contact angle of the treated surfaces can reach up to 160.6°±1.5°with rolling angle of 3.0°±1.0°,exhibiting perfect self-cleaning capability,long-term stability,and excellent chemical stability in acidic as well as alkaline solutions.The potentiodynamic polarization tests implied that the super-hydrophobic surfaces showed better anti-corrosion performance.This hybrid laser ablation and surface chemical modification are very time-saving and low-cost,which offers a rapid way for quantity production of super-hydrophobic surface on aluminum material.

The Study on the Anti-corrosion Performance of NiTi Alloy in Human Body Solution with the Fabricating Processes of Laser Irradiation and PDMS Modification

This paper presents a new and safe method of fabricating super-hydrophobic surface on NiTi Shape Memory Alloy(SMA),which aims to further improve the corrosion resistance performance and biocompatibility of NiTi SMA.The super-hydrophobic surfaces with Water Contact Angle(WCA)of 155.4°±0.9°and Water Sliding Angle(WSA)of 4.4°±1.1°were obtained by the hybrid of laser irradiation and polydimethylsiloxane(PDMS)modification.The forming mechanism was systematically revealed via Scanming Electron Microscopy(SEM)and X-ray Photoelectron Spectroscopy(XPS).The ant-corrosion of samples was investigated in Simulated Body Fluid(SBF)via the potentiodynamie polarization(PDP)and Electrochemical Impedance Spectroscopy(EIS)tests.PDMS super-hydrophobic coatings showed superior anti-corrosion performance.The Ni ions release experiment was also conducted and the corresponding result demonstrated that the super-hydrophobic samplcs effectively inhibited the rclease of Ni ions both in clctrolyte and SBF Besides,biocompaibility was further analyzed,indicating that the prepared super-hydrophobic surfaces present a huge potential advantage in biocompatibility.

Dodecyl Mercaptan Functionalized Copper Mesh for Water Repellence and Oil-water Separation

Reckless discharge of industrial wastewater and domestic sewage as well as frequent leakage of crude oil have caused serious environmental problems and posed severe threat to human survival.Various nature inspired superhy-drophobic surfaces have been successfully applied in oily water remediation.However,further improvements are still urgently needed for practical application in terms of facile synthesis process and long-term durability towards harsh environment.Herein,we propose a simple one-step dodecyl mercaptan functionalization method to fabricate Super-hydrophobic-Superoleophilic Copper Mesh(SSCM).The prepared SSCM possesses excellent water repellence and oil affinity,enabling it to successfully separate various oil-water mixtures with high separation efficiency(e.g.,>99%for hexadecane-water mixture).The SSCM retains high separating ability when hot water and strong corrosive aqueous solutions are used to simulate oil-water mixtures,indicating remarkable chemical durability of the dodecyl mercaptan functionalized copper mesh.Additionally,the efficiency can be well maintained during 50 cycles of separation,and the water repellence is even stable after storage in air for 120 days,demonstrating the reusability and long-term stability of the SSCM.Furthermore,the functionalized mesh also shows good mechanical robustness towards abrasion by sandpaper,and oil-water separation efficiency of>96%can be obtained after 10 cycles of abrasion.The reported one-step dodecyl mercaptan functionalization could be a simple method for increasing the water repellence of copper mesh,and thereby be a great candidate for treating large-scale oily wastewater in harsh environments.

Stability Mechanism of Laser-induced Fluorinated Super-hydrophobic Coating in Alkaline Solution

Great attention has been focused on super-hydrophobic surfaces due to their fantastic applications.Fluoride chemicals are widely used to fabricate super-hydrophobic surfaces due to their convenience,simplicity,and high efficiency.Previous research has made extensively efforts on corrosion resistance of fluorinated super-hydrophobic surfaces in corrosive media.Nevertheless,rare papers focused on the underlying reasons of anticorrosion property and stability mechanism on the fluorinated super-hydrophobic coatings in alkaline solution.Therefore,this work aims to reveal these mechanisms of fluorinated super-hydrophobic copper samples in strong alkaline solution(pH 13).Through the characterization of surface wettability and surface morphology,the laser-induced super-hydrophobic surface retained excellent stability after soaking in alkaline solution for 4 h.Through measurement of chemical compositions,the anticorrosion mechanism and stability mechanism of the fluorinated super-hydrophobic surface were proposed.Importantly,the hydroxyl ion(OH−)can further promote the hydrolysis reaction to improve the density and bonding strength of the fluoride molecules.Finally,the electrochemical experiments(PDP and EIS tests)were conducted to validate the rationality of our proposed conclusions.

Erratum to: Stability Mechanism of Laser-induced Fluorinated Super-hydrophobic Coating in Alkaline Solution

The article“Stability Mechanism of Laser-induced Fluorinated Super-hydrophobic Coating in Alkaline Solution”,written by Haoyang Li,Yanling Tian,Zhen Yang,was originally published electronically on the publisher’s internet portal on 26 November 2021 without open access.With the author(s)’decision to opt for Open Choice the copyright of the article changed on 29 of December 2021 to The Author(s)2021 and the article is forthwith distributed under a Creative Commons Attribution 4.0 International License,which permits use,sharing,adaptation,distribution and reproduction in any medium or format,as long as you give appropriate credit to the original author(s)and the source,provide a link to the Creative Commons licence,and indicate if changes were made.The images or other third party material in this article are included in the article’s Creative Commons licence,unless indicated otherwise in a credit line to the material.