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Internal residual stress measurement on linear friction welding of titanium alloy plates with contour method 被引量:11
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作者 刘川 董春林 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2014年第5期1387-1392,共6页
The internal residual stress within a TC 17 titanium alloy joint welded by linear friction welding (LFW) was measured by the contour method, which is a relatively new and destructive technique to obtain a full map o... The internal residual stress within a TC 17 titanium alloy joint welded by linear friction welding (LFW) was measured by the contour method, which is a relatively new and destructive technique to obtain a full map of internal residual stress. The specimen was first cut into two parts; the out-of-plane displacement contour formed by the release of the residual stress was then measured; finally, taking the measured contour of the cut plane as the boundary conditions, a linear elastic finite element analysis was carried out to calculate the corresponding distribution of residual stress normal to the cut plane. The internal stress distribution of the TC 17 titanium alloy LFWjoint was also analyzed. The results show that the tensile residual stress in the TC17 LFW weld is mainly present within a region about 12 mm from the weld centerline; the peak tensile residual stress occurs at the weld centerline and reaches 360 MPa (about one third of the yield strength of TC17 alloy); within the weld zone of the TC17 LFW weld, the through-thickness stress is not uniform, and the internal stress is larger than that near the top or bottom surface. 展开更多
关键词 residual stress linear friction welding titanium alloy contour method
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Using Finite Element and Contour Method to Evaluate Residual Stress in Thick Ti-6Al-4V Alloy Welded by Electron Beam Welding 被引量:7
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作者 Pu Xie Hai-Yan Zhao +1 位作者 Bing Wu Shui-Li Gong 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2015年第7期922-930,共9页
This work was to reveal the residual stress profile in electron beam welded Ti-6Al-4V alloy plates(50 mm thick) by using finite element and contour measurement methods.A three-dimensional finite element model of 50-... This work was to reveal the residual stress profile in electron beam welded Ti-6Al-4V alloy plates(50 mm thick) by using finite element and contour measurement methods.A three-dimensional finite element model of 50-mmthick titanium component was proposed,in which a column–cone combined heat source model was used to simulate the temperature field and a thermo-elastic–plastic model to analyze residual stress in a weld joint based on ABAQUS software.Considering the uncertainty of welding simulation,the computation was calibrated by experimental data of contour measurement method.Both test and simulated results show that residual stresses on the surface and inside the weld zone are significantly different and present a narrow and large gradient feature in the weld joint.The peak tensile stress exceeds the yield strength of base materials inside weld,which are distinctly different from residual stress of the thin Ti-6Al-4V alloy plates presented in references before. 展开更多
关键词 Electron beam welding Residual stress Finite element method contour method Titanium alloy
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Prediction of Long-Term Extreme Response of Fish Cage Using Environmental Contour Method
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作者 BAI Xiao-dong GUO Wei-wei +1 位作者 YANG Can LUO Han-bing 《China Ocean Engineering》 SCIE EI CSCD 2021年第3期332-343,共12页
The fish cage design requires accurate predictions of long-term extreme loads and responses.Compared with the time-consuming full long-term analysis method integrating all the probability distribution of the short-ter... The fish cage design requires accurate predictions of long-term extreme loads and responses.Compared with the time-consuming full long-term analysis method integrating all the probability distribution of the short-term extremes,the environmental contour method gains much attention in predicting the long-term extreme values due to the less computational effort.This paper investigates the long-term extreme response of a fish cage using the environmental contour method.The fish cage is numerically simulated based on the lumped-mass method and the curved beam theory.Based on the one-dimensional(1D)and two-dimensional(2D)environmental contour,the extreme responses,including the surge and heave motions,mooring force,and vertical bending of the floater,are predicted for different return periods and compared with the full long-term analysis results.Results indicate that the 1D method greatly underestimates the extreme values.The 2D environmental contour method with a higher percentile level,namely90%,provides reasonable estimations and seems to be suitable for the long-term value analysis.Sensitivity studies show that the mooring arrangement and the bending stiffness have great effects on the bending moment and the mooring force and the mooring line pre-tension has minor effects on the fish cage response. 展开更多
关键词 fish cage long-term extreme value environmental contour method sensitivity analysis
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Improved Inverse First-Order Reliability Method for Analyzing Long-Term Response Extremes of Floating Structures
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作者 Junrong Wang Zhuolantai Bai +3 位作者 Botao Xie Jie Gui Haonan Gong Yantong Zhou 《哈尔滨工程大学学报(英文版)》 2025年第3期552-566,共15页
Long-term responses of floating structures pose a great concern in their design phase. Existing approaches for addressing long-term extreme responses are extremely cumbersome for adoption. This work aims to develop an... Long-term responses of floating structures pose a great concern in their design phase. Existing approaches for addressing long-term extreme responses are extremely cumbersome for adoption. This work aims to develop an approach for the long-term extreme-response analysis of floating structures. A modified gradient-based retrieval algorithm in conjunction with the inverse first-order reliability method(IFORM) is proposed to enable the use of convolution models in long-term extreme analysis of structures with an analytical formula of response amplitude operator(RAO). The proposed algorithm ensures convergence stability and iteration accuracy and exhibits a higher computational efficiency than the traditional backtracking method. However, when the RAO of general offshore structures cannot be analytically expressed, the convolutional integration method fails to function properly. A numerical discretization approach is further proposed for offshore structures in the case when the analytical expression of the RAO is not feasible. Through iterative discretization of environmental contours(ECs) and RAOs, a detailed procedure is proposed to calculate the long-term response extremes of offshore structures. The validity and accuracy of the proposed approach are tested using a floating offshore wind turbine as a numerical example. The long-term extreme heave responses of various return periods are calculated via the IFORM in conjunction with a numerical discretization approach. The environmental data corresponding to N-year structural responses are located inside the ECs, which indicates that the selection of design points directly along the ECs yields conservative design results. 展开更多
关键词 Long-term response analysis Floating structures Inverse first-order reliability method Convolution model Gradient-based retrieval algorithm Environmental contour method
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A Contour Integral Method for Linear Differential Equations in Complex Plane
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作者 GAO Le WANG Wenshuai 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2020年第6期489-495,共7页
This paper presents the contour integral method for solving the linear constant coefficient ordinary differential equations in complex plane,and obtains the uniform expressions of the general solutions.Firstly,by usin... This paper presents the contour integral method for solving the linear constant coefficient ordinary differential equations in complex plane,and obtains the uniform expressions of the general solutions.Firstly,by using Residue Theorem,the general form of the contour integral representation for the homogeneous complex differential equation is obtained,which can be degenerated to classical results in real line.As for inhomogeneous complex differential equations with constant coefficients,we construct the integral expression of the particular solution for any continuous forcing term,and give rigorous proof via Residue Theorem.Thus the general solutions of inhomogeneous complex differential equations are also given.The main purpose of this paper is to give a foundation for a complete theory of linear complex differential equations with constant coefficients by a contour integral method.The results can not only solve the inhomogeneous complex differential equation well,but also explain the forms that are difficult to be understood in the classical solutions. 展开更多
关键词 complex differential equation contour integral method Residue Theorem general solution particular solution
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Extraction of Stress Intensity Factors by Using the P-Version Finite Element Method and Contour Integral Method
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作者 Jianming Zhang Jun Chen Liang Wu 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2020年第6期836-850,共15页
The stress intensity factors(SIFs)for two-dimensional cracks are extracted using the p-version finite element method(P-FEM)and the contour integral method.Several numerical experiments,e.g.,crack initiating from the e... The stress intensity factors(SIFs)for two-dimensional cracks are extracted using the p-version finite element method(P-FEM)and the contour integral method.Several numerical experiments,e.g.,crack initiating from the edge of a circular hole under an unidirectional uniform tension and two equal-length,unequal-length hole-edge cracks,respectively,at a rectangular plate,an inclined centered crack under uniaxial tension at a square plate and a pipeline crack model,are used to demonstrate the accuracy and effectiveness of the approaches.SIFs are presented for the effects of various crack lengths and length-width ratio.Numerical results are analyzed and compared with reference solutions and results obtained by the Voronoi cell finite element method,boundary element method,high-order extended finite element method(high-order XFEM)and commercial finite element software ABAQUS in the available literature.Numerical results are in good agreement with the benchmark problems and show faster convergence rate,higher accuracy and better numerical stability. 展开更多
关键词 Fracture mechanics Stress intensity factors P-version finite element method contour integral method
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Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna
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作者 LIAN Peiyuan WANG Congsi +2 位作者 XIANG Binbin SHI Yu XUE Song 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第1期22-29,共8页
A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics(PO) is adopt... A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics(PO) is adopted to calculate the gradients of the directivity with respect to reflector's nodal displacements. Because the approximation formula is a linear function of nodal displacements, the gradient can be easily derived. Then, the method of the steepest descent is adopted, and an optimization iteration procedure is proposed. The iteration procedure includes two loops: an inner loop and an outer loop. In the inner loop, the gradient and pattern are calculated by matrix operation, which is very fast by using the pre-calculated data in the outer loop. In the outer loop, the ideal terms used in the inner loop to calculate the gradient and pattern are updated, and the real pattern is calculated by the PO method. Due to the high approximation accuracy, when the outer loop is performed once, the inner loop can be performed many times, which will save much time because the integration is replaced by matrix operation. In the end, a contoured beam covering the continental United States(CONUS) is designed, and simulation results show the effectiveness of the proposed algorithm. 展开更多
关键词 REFLECTOR ANTENNAS SINGLE FEED contoured BEAM gradient-based optimization method.
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Analysis of a Laplace Spectral Method for Time-Fractional Advection-Diffusion Equations Incorporating the Atangana-Baleanu Derivative
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作者 Kamran Farman Ali Shah +3 位作者 Kallekh Afef J.F.Gómez-Aguilar Salma Aljawi Ioan-Lucian Popa 《Computer Modeling in Engineering & Sciences》 2025年第6期3433-3462,共30页
In this article,we develop the Laplace transform(LT)based Chebyshev spectral collocation method(CSCM)to approximate the time fractional advection-diffusion equation,incorporating the Atangana-Baleanu Caputo(ABC)deriva... In this article,we develop the Laplace transform(LT)based Chebyshev spectral collocation method(CSCM)to approximate the time fractional advection-diffusion equation,incorporating the Atangana-Baleanu Caputo(ABC)derivative.The advection-diffusion equation,which governs the transport of mass,heat,or energy through combined advection and diffusion processes,is central to modeling physical systems with nonlocal behavior.Our numerical scheme employs the LT to transform the time-dependent time-fractional PDEs into a time-independent PDE in LT domain,eliminating the need for classical time-stepping methods that often suffer from stability constraints.For spatial discretization,we employ the CSCM,where the solution is approximated using Lagrange interpolation polynomial based on the Chebyshev collocation nodes,achieving exponential convergence that outperforms the algebraic convergence rates of finite difference and finite element methods.Finally,the solution is reverted to the time domain using contour integration technique.We also establish the existence and uniqueness of the solution for the proposed problem.The performance,efficiency,and accuracy of the proposed method are validated through various fractional advection-diffusion problems.The computed results demonstrate that the proposed method has less computational cost and is highly accurate. 展开更多
关键词 Laplace transform spectral method existence theory fractional derivative with non-singular kernel contour integration methods
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Estimating Design Loads with Environmental Contour Approach Using Copulas for an Offshore Jacket Platform 被引量:2
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作者 ZHAO Yuliang LIU Dahui DONG Sheng 《Journal of Ocean University of China》 SCIE CAS CSCD 2020年第5期1029-1041,共13页
Jacket-type offshore platforms are widely used for oil, gas field, and energy development in shallow water. The design of a jacket structure is highly dependent on target environmental variables. This study focuses on... Jacket-type offshore platforms are widely used for oil, gas field, and energy development in shallow water. The design of a jacket structure is highly dependent on target environmental variables. This study focuses on a strategy to estimate design loads for offshore jacket structures based on an environmental contour approach. In addition to the popular conditional distribution model, various classes of bivariate copulas are adopted to construct joint distributions of environmental variables. Analytical formulations of environmental contours based on various models are presented and discussed in this study. The design loads are examined by dynamic response analysis of jacket platform. Results suggest that the conditional model is not recommended for use in estimating design loads in sampling locations due to poor fitting results. Independent copula produces conservative design loads and the extreme response obtained using the conditional model are smaller than those determined by copulas. The suitability of a model for contour construction varies with the origin of wave data. This study provides a reference for the design load estimation of jacket structures and offers an alternative procedure to determine the design criteria for offshore structures. 展开更多
关键词 design loads jacket platform joint probability distribution conditional model copula theory environmental contour method
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Novel boundary element method for resolving plate bending problems
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作者 焦磊 陈颂英 王乐勤 《Journal of Zhejiang University Science》 EI CSCD 2003年第5期584-590,共7页
This paper discusses the application of the boundary contour method fo r resolving plate bending problems. The exploitation of the integrand divergence free property of the plate bending boundary integral equation bas... This paper discusses the application of the boundary contour method fo r resolving plate bending problems. The exploitation of the integrand divergence free property of the plate bending boundary integral equation based on the Kirc hhoff hypothesis and a very useful application of Stokes' Theorem are presented to convert surface integrals on boundary elements to the computation of bending potential functions on the discretized boundary points,even for curved surface elements of arbitrary shape. Singularity and treatment of the discontinued corne r point are not needed at all. The evaluation of the physics variant at internal points is also shown in this article. Numerical results are presented for some plate bending problems and compared against analytical and previous solutions. 展开更多
关键词 Boundary contour method Plate bending Boundary element meth od
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圆锥公差图样标注方法研究
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作者 陈金 郑伟峰 +1 位作者 上官荣海 曾咏威 《计量与测试技术》 2026年第1期5-7,共3页
根据ISO 3040:2016"Geometrical Product Specifications (GPS)-Dimensioning and Tolerancing-Cones",分析圆锥公差图样标注方法,并研究其表面轮廓、尺寸及轴线位置的公差规范应用,从而为相关人员提供参考。
关键词 圆锥公差 标注方法 分类 表面轮廓、尺寸、轴线位置的公差规范
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Fast Image Segmentation Based on a Two-Stage Geometrical Active Contour 被引量:1
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作者 肖昌炎 张素 陈亚珠 《Journal of Shanghai University(English Edition)》 CAS 2005年第1期40-45,共6页
A fast two-stage geometric active contour algorithm for image segmentation is developed. First, the Eikonal equation problem is quickly solved using an improved fast sweeping method, and a criterion of local minimum o... A fast two-stage geometric active contour algorithm for image segmentation is developed. First, the Eikonal equation problem is quickly solved using an improved fast sweeping method, and a criterion of local minimum of area gradient (LMAG) is presented to extract the optimal arrival time. Then, the final time function is passed as an initial state to an area and length minimizing flow model, which adjusts the interface more accurately and prevents it from leaking. For object with complete and salient edge, using the first stage only is able to obtain an ideal result, and this results in a time complexity of O(M), where M is the number of points in each coordinate direction. Both stages are needed for convoluted shapes, but the computation cost can be drastically reduced. Efficiency of the algorithm is verified in segmentation experiments of real images with different feature. 展开更多
关键词 geometric active contours level set method image segmentation stopping criterion.
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SIMULATION OF TYPHOON'SANOMALOUS TRACK(Ⅱ)──CD METHOD
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作者 林缅 李家春 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第1期43-50,共8页
Contour dynamics (CD) method for the motions of typhoon is presented in this paper. The effect of asymmetric inner structure on the typhoon'sanomalous track has been discussed in different environmental steering. ... Contour dynamics (CD) method for the motions of typhoon is presented in this paper. The effect of asymmetric inner structure on the typhoon'sanomalous track has been discussed in different environmental steering. Todemonstrate the feasibility of the method, the track of Typhoon Yancy(9012) isconcerned with. The numerical results show that the method can describe the tendency of looping qualitatively. 展开更多
关键词 TYPHOON anomalous track contour dynamics (CD) method
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Backup roll contour of a SmartCrown tandem cold rolling mill 被引量:3
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作者 Guanghui Yang Jianguo Cao +2 位作者 Jie Zhang Shenghui Jia Renwei Tan 《Journal of University of Science and Technology Beijing》 CSCD 2008年第3期357-361,共5页
SmartCrown was a new system developed by VAI for improving the strip profile and flatness control first applied in 1700 mm tandem cold rolling mills at Wuhan Iron & Steel (Group) Corporation (WISCO). After tracin... SmartCrown was a new system developed by VAI for improving the strip profile and flatness control first applied in 1700 mm tandem cold rolling mills at Wuhan Iron & Steel (Group) Corporation (WISCO). After tracing and testing, the application of the conventional crown backup roll matching the SmartCrown work roll of the production mill led to heavy and nonuniform wear, and the edge spalling of the backup roll often occurred. A 3-dimension finite element model of roll stacks was established, which was used to analyze the above-mentioned problems, and it was found that the main reason was the highly nonuniform contact pressure distribution between the work roll and the backup roll. A new FSR (flexible shape backup roll) was developed and applied in 1700 mm tandem cold rolling mills. A lot of good actual effects of FSR, such as evident improvement in profile and flatness of strips, non-occurring edge spalling, wear uniform, and remarkable decrease in roll consumption were validated by long-term industrial applications. 展开更多
关键词 tandem cold rolling mills STRIPS roll contour shape control finite element method
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New normalized nonlocal hybrid level set method for image segmentation 被引量:1
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作者 LOU Qiong PENG Jia-lin +1 位作者 KONG De-xing WANG Chun-lin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2017年第4期407-421,共15页
This article introduces a new normalized nonlocal hybrid level set method for image segmentation.Due to intensity overlapping,blurred edges with complex backgrounds,simple intensity and texture information,such kind o... This article introduces a new normalized nonlocal hybrid level set method for image segmentation.Due to intensity overlapping,blurred edges with complex backgrounds,simple intensity and texture information,such kind of image segmentation is still a challenging task.The proposed method uses both the region and boundary information to achieve accurate segmentation results.The region information can help to identify rough region of interest and prevent the boundary leakage problem.It makes use of normalized nonlocal comparisons between pairs of patches in each region,and a heuristic intensity model is proposed to suppress irrelevant strong edges and constrain the segmentation.The boundary information can help to detect the precise location of the target object,it makes use of the geodesic active contour model to obtain the target boundary.The corresponding variational segmentation problem is implemented by a level set formulation.We use an internal energy term for geometric active contours to penalize the deviation of the level set function from a signed distance function.At last,experimental results on synthetic images and real images are shown in the paper with promising results. 展开更多
关键词 image segmentation level set method nonlocal method intensity information active contours NORMALIZATION
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Automatic wiring method for switchgear design 被引量:1
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作者 Shi Kanle Gao Ying +2 位作者 Wu Zijian Zhang Hui Yong Junhai 《Computer Aided Drafting,Design and Manufacturing》 2017年第2期32-38,共7页
An automatic 3D wiring method for switchgear design is proposed in this paper. First, wiring constraints are created, and a corresponding evaluation model is proposed. Then, based on the structure of the cabinet, we p... An automatic 3D wiring method for switchgear design is proposed in this paper. First, wiring constraints are created, and a corresponding evaluation model is proposed. Then, based on the structure of the cabinet, we propose a contour expansion scheme to construct rough paths. Different wiring features of the switchgear are used to connect rough local paths. All the paths are represented in a uniform data structure and forma path network. Finally, an improved A* algorithm is used to search the wiring path between the components in the routing network; the evaluation model is considered as heuristic rules for path searching. The result can satisfy the practical requirements of switchgear design. Experimental results are also provided. 展开更多
关键词 wiring method path searching contour expansion switchgear design A* algorithm
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基于MPS粒子与网格耦合的自由表面张力建模方法
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作者 李勇 姚沛滔 +1 位作者 高金辰 李根 《核科学与工程》 北大核心 2025年第1期1-9,共9页
针对移动粒子半隐式(MPS)方法在液体自由表面张力建模时粒子数量过大的问题,提出了一种粒子与网格耦合的自由表面张力建模方法,该方法仅对液相进行粒子离散,并对自由表面附近区域设置背景网格,根据网格与自由表面粒子的距离勾画出level-... 针对移动粒子半隐式(MPS)方法在液体自由表面张力建模时粒子数量过大的问题,提出了一种粒子与网格耦合的自由表面张力建模方法,该方法仅对液相进行粒子离散,并对自由表面附近区域设置背景网格,根据网格与自由表面粒子的距离勾画出level-set函数的等高线,进行自由表面的曲率计算。对比了面积插值法和距离插值法对曲率由网格插值到粒子的准确性,结果表明距离插值法具有较高的计算精度。最后,通过静水池压力、液滴振荡和液滴融合3个基准算例验证了粒子与网格耦合的表面张力模型的准确性和稳定性。 展开更多
关键词 表面张力 粒子法 网格 等高线
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TC4特钛合金轮盘内部残余应力测试方法对比研究 被引量:1
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作者 陈传勇 何悦 +2 位作者 宣海军 李果 刘扬 《热加工工艺》 北大核心 2025年第15期51-58,共8页
航空发动机钛合金轮盘作为冷端限寿件,其内部残余应力是影响服役期失效概率的关键因素之一。为研究钛合金轮盘内部残余应力及测试方法准确性,设计了等温锻造TC4特钛合金轮盘,淬火热处理后分别采用超声法、深孔法和轮廓法依次开展盘件内... 航空发动机钛合金轮盘作为冷端限寿件,其内部残余应力是影响服役期失效概率的关键因素之一。为研究钛合金轮盘内部残余应力及测试方法准确性,设计了等温锻造TC4特钛合金轮盘,淬火热处理后分别采用超声法、深孔法和轮廓法依次开展盘件内部残余应力测试,对比分析了这3种方法测试轮盘内部残余应力分布规律。结果表明:等温锻造TC4特钛合金轮盘淬火后中心部位拉伸残余应力可达47 MPa;轮廓法能获得轮盘子午截面二维周向残余应力云图,具有较好的稳定性和准确性;深孔法测试分散性较大,且存在边缘效应,与轮廓法最大差值为20~30 MPa;超声法声速极差能综合反映轮盘整体残余应力大小,但受轮盘侧壁影响较大,与轮廓法最大误差可达36.9%;消除侧壁影响后,超声法能更好反映轮盘周向残余应力分布,与轮廓法最大误差仅6.5%。 展开更多
关键词 TC4特钛合金 轮盘 内部残余应力 超声法 深孔法 轮廓法
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眼镜镜框内侧轮廓三维重建方法研究 被引量:1
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作者 许慧贤 唐瑜洁 +3 位作者 禹静 孔明 王狮凌 尹健龙 《中国测试》 北大核心 2025年第4期74-81,共8页
针对眼镜镜框二维轮廓参数对镜片的精确加工作用有限问题,提出一种基于非接触式光学测量实现镜框内侧轮廓三维重建的方法。该方法是在面阵相机完成镜框内圈轮廓参数测量和线结构光传感器完成镜框内槽形状尺寸测量的基础上进行三维坐标变... 针对眼镜镜框二维轮廓参数对镜片的精确加工作用有限问题,提出一种基于非接触式光学测量实现镜框内侧轮廓三维重建的方法。该方法是在面阵相机完成镜框内圈轮廓参数测量和线结构光传感器完成镜框内槽形状尺寸测量的基础上进行三维坐标变换,建立镜框内侧轮廓三维重建模型,并对轮廓堆叠法生成的模型进行精度验证。搭建实验系统完成镜框内侧轮廓三维重建,采用V4曲面插值算法实现镜框内侧轮廓优化。实验结果表明,该方法可以以很高的精度还原镜框内侧轮廓,且省去较多的精密机械装置,避免精密机械在传动过程中引入的误差,满足±0.3 mm的镜框尺寸允许误差、±0.10 mm的内槽宽度和内槽深度误差、±1.00°的内槽角度误差。 展开更多
关键词 眼镜镜框 三维重建 轮廓堆叠法 Bézier自由曲线拟合 V4插值算法
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镜框凹槽测量轮廓倾斜校正研究 被引量:1
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作者 唐瑜洁 禹静 孔明 《中国测试》 北大核心 2025年第3期22-29,共8页
针对非接触式镜框凹槽轮廓扫描过程中倾斜测量导致的轮廓畸变问题,提出一种凹槽轮廓特征边提取计算倾斜角的两步倾斜校正方法。该方法首先通过计算轮廓离散点的近似曲率,根据间断点处曲率曲线波形特点提取轮廓的分段点,确定凹槽斜边特... 针对非接触式镜框凹槽轮廓扫描过程中倾斜测量导致的轮廓畸变问题,提出一种凹槽轮廓特征边提取计算倾斜角的两步倾斜校正方法。该方法首先通过计算轮廓离散点的近似曲率,根据间断点处曲率曲线波形特点提取轮廓的分段点,确定凹槽斜边特征边的取点区间,对区间范围内的轮廓点进行最小二乘法直线拟合求解倾斜角度完成第一次倾斜校正。然后,以第一次校正后凹槽轮廓的凹槽倒角边作为特征边进行第二次特征边提取与倾斜角度计算,旋转调整轮廓最终实现轮廓的第二次倾斜校正。实验结果表明,该校正方法对哑光材质的镜框凹槽有显著的校正效果,校正后凹槽轮廓形状参数误差均在±1°与±0.1 mm的允许误差范围内。 展开更多
关键词 镜框凹槽 轮廓倾斜校正 轮廓分段 最小二乘法
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