Measuring Method of Radius of Curvature Based on Dual-Frequency Laser Interferometer

In order to achieve high-accuracy measurement of radius of curvature of optical sphere, ultra-high accuracy radius of curvature testing device is developed by dual-frequency laser interferometer and Fizeau interferometer based on cat’s eye and confocal method. Through analyzing the error source models of radius of curvature testing, optical configuration of the testing device has been optimized. Precise environment control and real-time monitoring system is also established to reduce the errors caused by environment. Through the above processes, the radius of curvature measurement relative accuracy is better than 2 ppm. One optical sphere, R88.5 mm, test aperture 59 mm, has been tested. Testing result is 88499.465 ± 0.176 μm, meeting the design requirement. The method has high accuracy and practical advantages.

Axial length/corneal radius of curvature ratio and refractive development evaluation in 3-to 4-year-old children: the Shanghai Pudong Eye Study

AIM: To measure and analysis axial length(AL)/corneal radius of curvature(CRC) ratio and other refractive parameters, provide a medical reference range for refractive development evaluation and earlier visual impairment screening of 3 to 4 y kindergarten students.METHODS: Between April and June 2017, a total of 4350 participants aged 3-to 4-year-old(8700 eyes) from 10 cluster random sampling kindergartens in Shanghai, Pudong District were involved. According to the measurement and analysis of the unaided visual acuity(VA), AL, CRC, AL/CRC ratio, astigmatism and other refractive parameters, the data distribution and reference range were obtained.RESULTS: Uncorrected VA of examined children was 0.23±0.08(logMAR, mean±SD) [95% confidence interval(CI) range ≤0.36];AL was 22.10±0.79 mm(95%CI 20.55-23.65);CRC was 7.86±0.26 mm(95%CI, 7.35-8.37);AL/CRC ratio was 2.81±0.12(95%CI, 2.57-3.05). The median of astigmatism was-0.5 D, a total of 56.3% had astigmatism <-0.50 D, 85.3%<-1.00 D, 6.7%>-1.50 D;71% were astigmatism with the rule. Eye-specific analyses were conducted. Statistical difference of VA was in right and left eyes. There were no significant differences between two eyes of AL, CRC, AL/CRC ratio and astigmatism(P>0.05).CONCLUSION: VA and AL/CRC ratio reference could be used to assess refractive development in children and screening uncorrected refractive errors or amblyopia. Astigmatism needs to be considered in the diagnosis.

Material Removal Model Considering Influence of Curvature Radius in Bonnet Polishing Convex Surface

The bonnet tool polishing is a novel, advanced and ultra-precise polishing process, by which the freeform surface can be polished. However, during the past few years, not only the key technology of calculating the dwell time and controlling the surface form in the bonnet polishing has been little reported so far, but also little attention has been paid to research the material removal function of the convex surface based on the geometry model considering the influence of the curvature radius. Firstly in this paper, for realizing the control of the freeform surface automatically by the bonnet polishing, on the basis of the simplified geometric model of convex surface, the calculation expression of the polishing contact spot on the convex surface considering the influence of the curvature radius is deduced, and the calculation model of the pressure distribution considering the influence of the curvature radius on the convex surface is derived by the coordinate transformation. Then the velocity distribution model is built in the bonnet polishing the convex surface. On the basis of the above research and the semi-experimental modified Preston equation obtained from the combination method of experimental and theoretical derivation, the material removal model of the convex surface considering the influence of the curvature radius in the bonnet polishing is established. Finally, the validity of the model through the simulation method has been validated. This research presents an effective prediction model and the calculation method of material removal for convex surface in bonnet polishing and prepares for the bonnet polishing the free surface numerically and automatically.

Research and Application for the Regularity of Distribution about Curvature Radius and Curvature Center of the Linkage Point Track in a Link Mechanism

It is illustrated that there exists an inflection circle on the linkage rigid body by the principle of relative motion. Confirmed methods of the inflection circle, curvature radius and curvature center of the point track on the linkage rigid body are given in the case of the different contact type of move instantaneous center line and static instantaneous center line. The regularity of distribution of curvature radius and curvature center of the point track is researched. The identification methods called determination parameters and auxiliary vertical line of the diameter and direction of the inflection circle in the four bar mechanism are pointed out. A design method of the crane hoisting mechanism is discussed in the end of this paper.

Numerical Research of the Influences of the Outer Raceway Curvature Radii on the EHL Properties of Ball Bearing

Based on numerical simulation, the influences of outer raceway curvature radii on some EHL properties of deep groove ball bearing were studied in detail. It was found that the second peak film pressure value decreases with the increase of curvature radius Ry. The minimal film thickness increases at first and then decreases with the increase of curvature radius Ry. The minimum film thickness reaches the maximal value when curvature radius Ry is about 1.7r. Film thickness becomes thinner with the increase of Rx with keeping other parameters constant. The conclusions obtained in this paper are very helpful to practical design of ball bearings.

Effect of prestressed ultrasonic peen forming parameters on bending curvature and spherical deformation of plate

The elastic prestressed ultrasonic peen forming(UPF)was adopted in order to solve problems of insufficient bending deformation and large spherical deformation of plate during free UPF.The theoretical analysis of prestressed UPF and the influence of elastic prebending moment on deformation were analyzed.Spherical deformation coefficient was defined to quantificationally describe the spherical deformation.Experiments were conducted to compare the differences between free UPF and prestressed UPF processes and the effects of processing parameters on bending curvature and spherical deformation coefficient were studied.The results show that peening trajectory in chordwise direction is beneficial to enlarging spanwise bending deformation and decreasing spherical deformation coefficient.Large prebending curvature is helpful to increase spanwise bending deformation and decrease chordwise deformation,thereby obviously decreasing spherical deformation coefficient.Large spanwise deformation can be obtained under large firing pin velocity,small plate thickness and small offset distance.Large firing pin velocity plays a positive role in decreasing spherical deformation,while plate thickness and offset distance have little effect on it.Above all,prebending curvature and peening trajectory are the most important factors during prestressed UPF process.This study provides guidance for parameters optimization of prestressed UPF for wing plate with large thickness.

Ground settlement and tunnel response due to twin-curved shield tunnelling in soft ground with small clear distance

Twin curved tunnels are often encountered in shield tunnelling,where significant complexities in densely exploited underground space are observed.In this study,the ground settlement and tunnel deformation due to twin-curved shield tunnelling in soft ground were investigated using numerical simulation and field monitoring.Different curvature radii of twin curved tunnels and subsequent effects of tunnel construction were considered to reveal the tunnelling effect on ground surface settlement and tunnel deformation.The results show that the settlement trough yields one offset towards inside of curved shield tunnelling.The location of settlement trough and maximum settlement were affected by curvature radius but except for the shape and width of settlement trough.Adjacent parallel twin-curved shield tunnelling could increase the offset of existing settlement trough and maximum settlement.Then,an empirical prediction of surface settlement trough due to twin-curved shield tunnelling with same tunnel diameters in soft clay was proposed,which was applicable to curvature radius less than 800 m.Finally,a minimum radius of 600 m of curvature tunnel was proposed in terms of allowable convergence deformation of tunnel.The result could provide guidance on safety evaluation for twin curved shield tunnelling construction.

Small Excess and the Topology of Open Manifolds with Ricci Curvature Negatively Lower Bounded

In this paper, we study the relation between the excess of open manifolds and their topology by using the methods of comparison geometry. We prove that a complete open Riemmannian manifold with Ricci curvature negatively lower bounded is of finite topological type provided that the conjugate radius is bounded from below by a positive constant and its Excess is bounded by some function of its conjugate radius, which improves some results in [4].

Discharge evolution law of debris flow based on a sharp bend physical modeling test

For the basins with debris flow development,its channel terrain exhibits a tortuous shape,which significantly restricts the movement of debris flows and leads to severe erosion effects on the concave bank.Therefore,this study aims to analyze the shear force of debris flows within the bend channel.We established the relationship between the shear force and bend curvature through laboratory experiments.Under the long-term erosion by debris flows,the curvature radius of bends gradually increases,however,when this increasing trend reaches an equilibrium state with the intensity of debris flow discharge,there will be no significant change in curvature radius.In general,the activity pattern and discharges of debris flows would remain relatively stable.Hence,we can infer the magnitude of debris flow discharges from the terrain parameters of the bend channel.

球铰设计参数对超大吨位转体球铰力学性能影响

研究球铰设计参数对超大吨位转体球铰力学性能的影响,以优化其结构与性能。应用ABAQUS有限元分析软件建立球铰精细化有限元模型,研究曲率半径、支承半径与环形肋布置方案对球铰力学性能影响。曲率半径对球铰接触应力与Von Mises应力影响显著,当曲率半径增大至20 m,下球铰边缘接触应力增幅20.4%,销孔附近Von Mises应力降幅35.1%;增大支承半径有利于减小球铰接触应力与Von Mises应力,支承半径对球铰反力矩M影响最敏感,支承半径由3.2 m增至3.6 m,M增幅21.5%。综合静止工况与转动工况分析结果,本工程选用支承半径3.6 m、曲率半径14 m的球铰较为合理。

镁合金壁板压弯成形曲率半径及回弹分析

目的对镁合金壁板变曲率压弯成形的回弹进行研究,分析壁板曲率半径和回弹量的变化规律,并建立壁板压弯成形几何模型,确定了材料性能参数、压弯成形工艺方案及成形工艺参数。方法采用数值模拟和实验的研究方法,在压下高度为3、5、7 mm、成形温度为260℃条件下进行了筋高比为4∶3和5∶2的网格式壁板变曲率压弯实验。结果分析了实验过程中的等效应力分布规律,随着压下高度的增大,等效应力最大值增大,当压下高度为5 mm和7 mm时,最大等效应力超过壁板在260℃、压下速度为1 mm/s条件下的抗拉强度。随着筋高比逐渐增大,最大等效应力增大。分析了压弯成形工艺参数对镁合金壁板压弯成形回弹量的影响规律,随着压下高度的增大,壁板回弹量增大。随着筋高比的增大,壁板回弹量减小。当壁板所受最大等效应力小于抗拉强度时,筋高比为4∶3壁板的回弹率为45%,筋高比为5∶2壁板的回弹率为30%,回弹率与压下高度无关,保持定值,当最大等效应力超过抗拉强度时,回弹率逐渐降低。分析了镁合金壁板曲率半径与压下高度之间的关系,随着压下高度的增大,壁板曲率半径减小。结论壁板回弹量模拟值与实验值吻合较好,最大相对误差为6.91%。壁板曲率半径模拟结果与实验结果相吻合,最大相对误差为4.21%。材料性能参数如下:泊松比为0.35,摩擦因数为0.3,质量密度为1.77×10^(-9) kg/mm3,当成形温度为260℃时,弹性模量为29.6 GPa。2种壁板变曲率压弯最佳工艺方案为温度260℃,压下高度依次为3、5、7 mm。

Analysis of ocular structural parameters and higher-order aberrations in Chinese children with myopia

BACKGROUND Myopia and high myopia are global public health concerns.Patients with high myopia account for 0.5%-5.0%of the global population.AIM To examine diopters,axial length(AL),higher-order aberrations,and other ocular parameters in Chinese children with myopia,to analyze the influence of structural parameters associated with myopia on visual quality,and to provide a theoretical basis for the prevention and treatment of childhood myopia and high myopia.METHODS This study included 195 children aged 6–17 years with myopia.The AL was measured with an ultrasonic ophthalmic diagnostic instrument,and the aberrations,corneal curvature(minimum K1,maximum K2,and average Km),central corneal thickness,anterior chamber depth,and anterior chamber angle were measured using a Sirius three-dimensional anterior segment analyzer.Using a standard formula,the corneal radius of curvature R(337.3/Km)and AL/R values were obtained.RESULTS The diopter of high myopia compared with low-middle myopia was correlated with age and AL(r=-0.336,-0.405,P<0.001),and AL of high myopia was negatively correlated with K1,K2,and Km(r=-0.673,-0.661,and-0.680,respectively;P<0.001),and positively correlated with age and the anterior chamber depth(r=0.214 and 0.275,respectively;P<0.05).AL/R was more closely related to diopter than AL in children with myopia,and 94.4%of children with myopia had an AL/R of>3.00.CONCLUSION The ocular structural parameters of children change because of different diopters.AL/R is more specific and sensitive than AL in evaluating the refractive status of myopia in children.An AL/R of>3.00 may be used as a specific index of myopia in children.There are differences in AL/R between high myopia and low-middle myopia,which can be used for the classification of ametropia.The degree of myopia has a certain influence on higher-order aberrations.

沟曲率半径(密合度)对四点接触球轴承疲劳寿命影响研究

采用Romax Designer工程分析软件,应用ISO/TS 16281—2008寿命计算方法,根据经典的滚动轴承理论,对某电机轴四点接触球轴承内部载荷分布、接触应力、套圈滚道等效动态滚动元件载荷和ISO/TS16281—2008寿命等进行了大量的计算,重点研究滚道沟曲率半径对轴承内部载荷分布、接触应力、套圈滚道等效动态滚动元件载荷和ISO/TS16281—2008疲劳寿命的影响。研究结果表明,轴承型号和制造质量、载荷条件、润滑条件和可靠度等其他条件确定时,存在一个相对最优的滚道沟曲率半径(密合度);当载荷条件不同时,相应最优的滚道沟曲率半径(密合度)不同。在所研究的具体条件下,由于轴系中的2个轴承所承受的载荷不同,因而,2个轴承的最优滚道沟曲率半径(密合度)不同。研究结果可为四点接触球轴承的设计方案提供参考。

Research on characteristics of acoustic signal of typical partial discharge models

The pulse current method,acoustic and ultrasonic partial discharge(PD)detection,and voiceprint PD detection are commonly used detection methods for the PD detection of power equipment.To study the characteristics of PD signals of typical discharge models based on the principles of the above three detection methods,an acoustic detection experimental system consisting of a needle-tip model and a surface model was built.Acoustic tests were carried out on needle-tip models with different curvature radii and surface discharge models with different lengths of conductive paste.The experimental results showed that acoustic and ultrasonic PD detection and voiceprint PD detection exhibited different sensitivities to the needle-tip discharge models,and the combination of acoustic and ultrasonic PD and voiceprint PD detection was more beneficial for the comprehensive detection of cable PD signals.Based on voiceprint recognition technology,this study drew FFT(Fast Fourier Transformation)diagrams of different types of PD acoustic signals and analyzed the differences in the ultrasonic signal frequency distribution.The frequency band of the voiceprint PD signal of the needle-tip discharge models was concentrated in the range 17-27 kHz,and the frequency band of the voiceprint PD signal of the conductive paste discharge models was concentrated in the range 20-25 kHz.The measurement of voiceprint PD signals in these frequency bands were strengthened when the PD of a cable was detected on-site,which provides the basis for the use of the cable model for on-site PD detection.

Proportion and characteristic of emmetropia in schoolchildren aged 6-11y:the Shenzhen elementary school eye study

AIM:To investigate the proportion and characteristic of emmetropia in schoolchildren aged 6-11,especially estimate the normal value of ocular biometric parameters of emmetropia.METHODS:A population-based cross-sectional study was conducted on children aged 6-11 y in Shenzhen.Totally,2386 schoolchildren from two primary schools were involved.The axial length(AL)and the corneal radius of curvature(CRC)were measured by partial coherence laser interferometry.Noncycloplegic refraction and refractive astigmatism(RA)was measured using autorefraction.The axial length-to-corneal radius of curvature ratio(AL/CRC),corneal astigmatism(CA)and spherical equivalent refraction(SER)were calculated.RESULTS:The proportion of emmetropia in elementary school students was 41.30%.This percentage decreased gradually from 6 to 11 years of age and decreased rapidly after 9 years of age.The mean and 95%CI of each parameter were provided for boys and girls aged 6 to 11 years of age with emmetropia according to each age group.The change trend of parameters of boys and girls are similar.After 7 years of age,the AL of non-emmetropia started to increase faster than that of emmetropia.The change trend of AL/CRC was the same as that of AL.The other parameters tend to be stable after 7 years of age.CONCLUSION:The age of 7-9 is an important period for the changes of refractive state and ocular biometric parameters of primary school students,and it is a special focus period for children myopia prevention.The normal value and variation of ocular biometric parameters of emmetropia can provide the basis for the clinical judgment of whether or not children’s ocular biometric parameters obtained by single measurement and changes obtained by multiple measurements are abnormal.

Gaussian wave formalism model for propagation of charged-particle beam through a first-order optical systems

An elliptical Gaussian wave formalism model of a charged-particle beam is proposed by analogy with an elliptical Gaussian light beam. In the paraxial approximation, the charged-particle beam can be described as a whole by a complex radius of curvature in the real space domains. Therefore, the propagation and transform of charged-particle beam passing through a first-order optical system is represented by the ABCD-like law. As an example of the application of this model, the relation between the beam waist and the minimum beam spot at a fixed target is discussed. The result, well matches that from conventional phase space model, and proves that the Gaussian wave formalism model is highly effective and reasonable.

Space-Time Curvature Mode Quanta

Einstein theorized that Gravity is not a force derived from a potential that acts across a distance. It is a distortion of space and time in which we live by masses and energy. Consistent with Einstein’s theory, a model of space-time curvature modes and associated curvature quanta in slightly warped space-time generated by a light Photon is derived. Both a Schr?dinger and a Second Quantized representation of the space-time curvature mode quanta are calculated and are fourth rank tensors. The eigenvalues of these equations are radii of curvature, not energy. The Eigenfunctions are linear functions of the components of the tensor that describes the curvature of space-time.

曲线梁桥横向爬移影响因素分析及对策研究

随着城市交通的发展,曲线梁桥成为不同道路互联互通的首选桥型。曲线梁桥独特的受力特点易造成桥梁出现支座脱空、伸缩缝破坏、墩柱开裂等横向爬移引起的病害。文章在总结分析常见病害及原因的基础上,从主动与被动影响因素两个方面分析了不同因素的影响原因及程度,并对新桥的设计和运营桥梁的加固设计提出了相应的预防与加固对策,可为后续曲线梁桥设计与加固提供一定的指导。

Magnetorheological finishing of an irregular-shaped small-bore complex component using a small ball-end permanent-magnet polishing head

A novel magnetorheological finishing(MRF)process using a small ball-end permanent-magnet polishing head is proposed,and a four-axes linkage dedicated MRF machine tool is fabricated to achieve the nanofinishing of an irregularψ-shaped small-bore complex component with concave surfaces of a curvature radius less than3 mm.The processing method of the complex component is introduced.Magnetostatic simulation during the entire finishing path is carried out to analyze the material removal characteristics.A typicalψ-shaped small-bore complex component is polished on the developed device,and a fine surface quality is obtained with surface roughness Raof 0.0107μm and surface accuracy of the finished spherical surfaces of 0.3320μm(PV).These findings indicate that the proposed MRF process can perform the nanofinishing of a kind of small-bore complex component with small-curvature-radius concave surfaces.