Academic literature on the topic 'Roundness, Form Error Evaluation'

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Journal articles on the topic "Roundness, Form Error Evaluation"

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Ali, Salah H. R. "Performance Investigation of CMM Measurement Quality Using Flick Standard." Journal of Quality and Reliability Engineering 2014 (July 17, 2014): 1–11. http://dx.doi.org/10.1155/2014/960649.

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Quality of coordinate measuring machine (CMM) in dimension and form metrology is designed and performed at the NIS. The experimental investigation of CMM performance is developed by using reference Flick standard. The measurement errors of corresponding geometric evaluation algorithm (LSQ, ME, MC, and MI) and probe scanning speed (1, 2, 3, 4, and 5 mm/s) are obtained through repeated arrangement, comparison, and judgment. The experimental results show that the roundness error deviation can be evaluated effectively and exactly for CMM performance by using Flick standard. Some of influencing quantities for diameter and roundness form errors may dominate the results at all fitting algorithms under certain circumstances. It can be shown that the 2 mm/s probe speed gives smaller roundness error than 1, 3, 4, and 5 mm/s within 0.2 : 0.3 μm. It ensures that measurement at 2 mm/s is the best case to satisfy the high level of accuracy in the certain condition. Using Flick standard as a quality evaluation tool noted a high precision incremental in diameter and roundness form indication. This means a better transfer stability of CMM quality could be significantly improved. Moreover, some error formulae of data sets have been postulated to correlate the diameter and roundness measurements within the application range. Uncertainty resulting from CMM and environmental temperature has been evaluated and confirmed the quality degree of confidence in the proposed performance investigation.
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Meo, A., L. Profumo, A. Rossi, and M. Lanzetta. "Optimum Dataset Size and Search Space for Minimum Zone Roundness Evaluation by Genetic Algorithm." Measurement Science Review 13, no. 3 (June 1, 2013): 100–107. http://dx.doi.org/10.2478/msr-2013-0018.

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Roundness is one of the most common features in machining. The minimum zone tolerance (MZT) approach provides the minimum roundness error, i.e. the minimum distance between the two concentric reference circles containing the acquired profile; more accurate form error estimation results in less false part rejections. MZT is still an open problem and is approached here by a Genetic Algorithm. Only few authors have addressed the definition of the search space center and size and its relationship with the dataset size, which greatly influence the inspection time for the profile measurement and the convergence speed of the roundness estimation algorithm for a given target accuracy. Experimental tests on certified roundness profiles, using the profile centroid as the search space center, have shown that the search space size is related to the number of dataset points and an optimum exists, which provides a computation time reduction up to an order of magnitude.
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Yan, Zhaobin, Shuangjiao Fan, Wenpeng Xu, Zhixin Zhang, and Guibing Pang. "Profile Evolution and Cross-Process Collaboration Strategy of Bearing Raceway by Centerless Grinding and Electrochemical Mechanical Machining." Micromachines 14, no. 1 (December 26, 2022): 63. http://dx.doi.org/10.3390/mi14010063.

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Roundness is one of the most important evaluation indexes of rotary parts. The formation and change of roundness in the machining of parts is essentially the formation and genetic process of profile. Centerless positioning machining is one of the main surface finishing methods of rotary parts. The rounding mechanism of centerless positioning machining determines its unique roundness profile formation and genetic characteristics. How to eliminate the roundness error of centerless positioning machining has become one of the important issues in the research of high-precision rotary part machining. This paper explores the influence of process parameters on the roundness error from the perspective of profile evolution during centerless grinding and electrochemical mechanical machining, with the aim of providing a cross-process collaboration strategy for improving bearing raceway accuracy. Through an experiment of centerless grinding, the influence law and mechanism of process parameters on the profile are discussed. On this basis, electrochemical mechanical machining experiments are designed to explore the variation rules and mechanisms of different profile shapes in the machining process. The cross-process collaboration strategy is studied, and reasonable parameters of centerless grinding and electrochemical mechanical machining are determined. The results show that in the centerless grinding stage, increasing the support plate angle can form a multiple-lobe profile with high frequency within a wide range of process parameters. Electrochemical mechanical machining can effectively smooth the high-frequency profile and appropriately expanding the cathode coverage can improve the roundness error and reduce the requirement of initial accuracy of a multiple-lobe profile workpiece to a certain extent. Therefore, the combined machining technology of “centerless grinding + electrochemical mechanical machining” provides an efficient technical means to realize the precision machining of rotary parts such as bearing raceways.
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Hu, Peng, Xin Xiong, Wen-Hao Zhang, Bing-Feng Ju, and Yuan-Liu Chen. "Accurate Inner Profile Measurement of a High Aspect Ratio Aspheric Workpiece Using a Two-Probe Measuring System." Applied Sciences 12, no. 13 (June 30, 2022): 6628. http://dx.doi.org/10.3390/app12136628.

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This paper presents a novel method for inner profile measurement and geometric parameter evaluation, such as the radius of the bottom, steepness and straightness of the steep sidewall of a high aspect ratio aspheric workpiece, by utilizing a two-probe measuring system, which includes a lateral displacement gauge for the inner steep sidewall profile measurement and an axial displacement gauge for the inner deep underside profile measurement. To qualify the measurement accuracy, the systematic errors associated with the measurement procedure, including the miscalibration, misalignment and the roundness error of the gauge probes, as well as the slide motion error of the four-axis motion platform, are all evaluated and separated from the measurement results. A point cloud registration algorithm is employed to stitch the evaluated inner sidewall profile and the inner underside profile to form an entire inner profile of the workpiece. To verify the performance of the newly proposed method, the inner profile of a high aspect ratio aspheric workpiece, which has a tapered cone shape with a maximum inner radius of 40 mm, a maximum inner depth of 140 mm and a steep sidewall angle approaching 85°, is measured in experiments. The measurement result is compared with that of a coordinate measuring machine (CMM), and the comparison verifies the feasibility of the proposed measurement system.
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Zhang, Lei, Ying Zhao, Dong Rong Zheng, and Ke Zhang. "Evaluation Method and Simulation Analysis of Gap Roundness Error." Applied Mechanics and Materials 16-19 (October 2009): 1243–47. http://dx.doi.org/10.4028/www.scientific.net/amm.16-19.1243.

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Theoretical analysis of existing evaluation method of gap roundness error and existing evaluation model of full roundness error is provided. Mathematical model of gap roundness error’s evaluation with least square method is founded based on the evaluation model of full roundness error, which gives a solution of gap roundness error. The results of the simulation analysis and measuring experiment show that mathematical model of gap roundness error’s evaluation with least square method is correct for computing gap roundness error.
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Jin, Long, Yue Ping Chen, Hai Yan Lu, Shu Ping Li, and Yi Chen. "Roundness Error Evaluation Based on Differential Evolution Algorithm." Applied Mechanics and Materials 670-671 (October 2014): 1285–89. http://dx.doi.org/10.4028/www.scientific.net/amm.670-671.1285.

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A new approach for roundness (circularity) error evaluation based on the differential evolution (DE) algorithm is proposed.The mathematical model of the roundness error under the condition of the minimum zone is derived. The background and advantages of DE are introduced, the fundamentals and implementation techniques are also given.The approach is verified by two examples.Compared with other methods, the results show that the proposed method makes the roundness error evaluation more accurate.
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Wu, Xin Jie, Duo Hao, Rong Rong Fu, and Chao Xu. "An Evaluation Method of Roundness Error Based on Artificial Bee Colony Algorithm." Applied Mechanics and Materials 103 (September 2011): 30–34. http://dx.doi.org/10.4028/www.scientific.net/amm.103.30.

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The roundness error is an important index of mechanical part and its interchangeability, it is the key to quality of product. A new method for calculating the roundness error based on artificial bee colony algorithm has been proposed in this paper. Artificial bee colony algorithm is an evolutionary computation. It has the character of simple technique, easy digital realization and few controlling parameters. Firstly, the basic principle of artificial bee colony algorithm is concisely introduced in this paper. The detailed steps for calculating the roundness error based on artificial bee colony algorithm have been described. Finally experiment results are given. These results have shown that the proposed method can correctly and effectively evaluate roundness error. The proposed method can overcome the local convergence in evaluation of roundness error based on least square method (LSM).
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Jiang, Benchi, Xin Du, Shilei Bian, and Lulu Wu. "Roundness error evaluation in image domain based on an improved bee colony algorithm." Mechanical Sciences 13, no. 1 (June 23, 2022): 577–84. http://dx.doi.org/10.5194/ms-13-577-2022.

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Abstract. The roundness error is the main geometric characteristic parameter of shaft and hole parts. Evaluation accuracy is an important indicator of the quality inspection technology. Existing roundness error evaluation methods are insufficient in terms of the calculation amount, convergence speed, and calculation accuracy. This study proposes a novel roundness error evaluation method based on improved bee colony algorithm to evaluate the roundness error of shaft and hole parts. Population initialization and search mechanism were considered for the optimal design to improve the convergence precision of the algorithm. The population was initialized in the local search domain defined by the contour data. The roughness error was obtained by the convergence solution of the circle center calculated iteratively by the step-decreasing method. The roundness error was also evaluated by taking the same set of image domain data as an example to verify the feasibility of the proposed method. The algorithm exhibited higher accuracy than that traditional methods and thus can be widely used to evaluate the roundness error of shaft and hole parts.
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Huang, Xiang, and Lin Shu Li. "Part Roundness Errors Evaluation Based on Modified Simplex Method." Applied Mechanics and Materials 273 (January 2013): 619–22. http://dx.doi.org/10.4028/www.scientific.net/amm.273.619.

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On the basis of establishing programming model of geometric error’s minimum regional evaluation, this paper applies modified simplex method to optimization evaluation of axial parts’ roundness measurement in order to improve the accuracy and speed of roundness error evaluation. The result shows that roundness error evaluation based on modified simplex method is of the following advantages such as high evaluation accuracy, fast calculation speed and good repeatability and so on. Practical examples prove that this method is of universality and practicality.
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Li, Guowen, Ying Xu, Chengbin Chang, Sainan Wang, Qian Zhang, and Dong An. "Improved bat algorithm for roundness error evaluation problem." Mathematical Biosciences and Engineering 19, no. 9 (2022): 9388–411. http://dx.doi.org/10.3934/mbe.2022437.

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<abstract> <p>In the production and processing of precision shaft-hole class parts, the wear of cutting tools, machine chatter, and insufficient lubrication can lead to changes in their roundness, which in turn affects the overall performance of the relevant products. To improve the accuracy of roundness error assessments, Bat algorithm (BA) is applied to roundness error assessments. An improved bat algorithm (IBA) is proposed to counteract the original lack of variational mechanisms, which can easily lead BA to fall into local extremes and induce premature convergence. First, logistic chaos initialisation is applied to the initial solution generation to enhance the variation mechanism of the population and improve the solution quality; second, a sinusoidal control factor is added to BA to control the nonlinear inertia weights during the iterative process, and the balance between the global search and local search of the algorithm is dynamically adjusted to improve the optimization-seeking accuracy and stability of the algorithm. Finally, the sparrow search algorithm (SSA) is integrated into BA, exploiting the ability of explorer bats to perform a large range search, so that the algorithm can jump out of local extremes and the convergence speed of the algorithm can be improved. The performance of IBA was tested against the classical metaheuristic algorithm on eight benchmark functions, and the results showed that IBA significantly outperformed the other algorithms in terms of solution accuracy, convergence speed, and stability. Simulation and example verification show that IBA can quickly find the centre of a minimum inclusion region when there are many or few sampling points, and the obtained roundness error value is more accurate than that of other algorithms, which verifies the feasibility and effectiveness of IBA in evaluating roundness errors.</p> </abstract>
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Dissertations / Theses on the topic "Roundness, Form Error Evaluation"

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WANG, ZHUO. "MODELING AND SAMPLING OF WORK PIECE PROFILES FOR FORM ERROR EVALUATION." University of Cincinnati / OhioLINK, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=ucin975356333.

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SARAVANAN, SHANKAR. "EVALUATION OF SPHERICITY USING MODIFIED SEQUENTIAL LINEAR PROGRAMMING." University of Cincinnati / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1132343760.

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Holzschuch, Nicolas. "Le contrôle de l'erreur dans la méthode de radiosité hiérarchique." Phd thesis, Université Joseph Fourier (Grenoble), 1996. http://tel.archives-ouvertes.fr/tel-00004994.

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Nous présentons ici plusieurs améliorations d'un algorithme de modélisation de l'éclairage, la méthode de radiosité. Pour commencer, une analyse détaillée de la méthode de radiosité hiérarchique permet de souligner ses points faibles et de mettre en évidence deux améliorations simples : une évaluation paresseuse des interactions entre les objets, et un nouveau critère de raffinement qui élimine en grande partie les raffinements inutiles. Un bref rappel des propriétés des fonctions de plusieurs variables et de leurs dérivées suit, qui permet d'abord de déduire une réécriture de l'expression de la radiosité, d'où un calcul numérique plus précis. Les méthodes d'estimation de l'erreur produite au cours du processus de modélisation de la lumière sont introduites. Nous voyons alors comment les propriétés de concavité de la fonction de radiosité permettent -- grâce au calcul des dérivées successives de la radiosité -- un contrôle complet de l'erreur commise dans la modélisation des interactions entre les objets, et donc un encadrement précis de la radiosité. Nous présentons un critère de raffinement basé sur cette modélisation des interactions, et un algorithme complet de radiosité hiérarchique intégrant ce critère de raffinement, et donc permettant un contrôle de l'erreur commise sur la radiosité au cours de la résolution. Finalement, nous présentons les méthodes de calcul pratique des dérivées successives de la radiosité (gradient et Hessien) dans le cas d'un émetteur constant sans obstacles tout d'abord, puis dans le cas d'un émetteur constant en présence d'obstacles et dans le cas d'un émetteur sur lequel la radiosité varie de façon linéaire.
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Kang, Sheng-Kai, and 康勝凱. "Artificial Intelligence Approaches for The Evaluation of Form Error." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/85vu4y.

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碩士
國立虎尾科技大學
工業工程與管理研究所
100
Form error is important to to the quality of piece parts. The rotation parts are the most widely used components in industrial production, and the form error is an important indicator. As known, it is also the key to the product quality. There are various approaches to evaluate the form errors for objects. In this thesis, we apply artificial intelligence approaches to evaluate different form errors, including roundness error, cube error, cylindricity error and conicity error. In this thesis, we apply three heuristic algorithms for solving the form error problem, including particle swarm optimization, immune algorithm and genetic algorithm. In addition, in order to ensure that the solution quality, in this study, we use the statistical test method to compare the results of three heuristic algorithms. In this thesis, we experiment four types of test problems for roundness error, cube error, cylindricity error and conicity error. Numerical results show that the solutions by the immune algorithm are better than those by particle swarm optimization and genetic algorithm, respectively.
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Book chapters on the topic "Roundness, Form Error Evaluation"

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Kase, Kiwamu, Hiromasa Suzuki, and Fumihiko Kimura. "An Evaluation of Geometrical Errors by Segmentation with Fitting Form Error Features." In Computer-aided Tolerancing, 328–37. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1529-9_22.

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Jalid, Abdelilah, Mohammed Oubrek, and Abdelouahab Salih. "Evaluation of the Form Error of Partial Spherical Part on Coordinate Measuring Machine." In Lecture Notes in Mechanical Engineering, 269–75. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-62199-5_24.

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Wang, Yan, Ping-yu Jiang, and Qi-quan An. "The Error Fluctuation Evaluation for Key Machining Form Feature of High-Value Difficult-to-Cut Part." In Proceedings of the 22nd International Conference on Industrial Engineering and Engineering Management 2015, 359–70. Paris: Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-180-2_35.

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Constantinides, George, Fredrik Dahlqvist, Zvonimir Rakamarić, and Rocco Salvia. "Rigorous Roundoff Error Analysis of Probabilistic Floating-Point Computations." In Computer Aided Verification, 626–50. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81688-9_29.

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AbstractWe present a detailed study of roundoff errors in probabilistic floating-point computations. We derive closed-form expressions for the distribution of roundoff errors associated with a random variable, and we prove that roundoff errors are generally close to being uncorrelated with their generating distribution. Based on these theoretical advances, we propose a model of IEEE floating-point arithmetic for numerical expressions with probabilistic inputs and an algorithm for evaluating this model. Our algorithm provides rigorous bounds to the output and error distributions of arithmetic expressions over random variables, evaluated in the presence of roundoff errors. It keeps track of complex dependencies between random variables using an SMT solver, and is capable of providing sound but tight probabilistic bounds to roundoff errors using symbolic affine arithmetic. We implemented the algorithm in the PAF tool, and evaluated it on FPBench, a standard benchmark suite for the analysis of roundoff errors. Our evaluation shows that PAF computes tighter bounds than current state-of-the-art on almost all benchmarks.
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Zhou, J., Y. Li, and Y. Ji. "Form error evaluation of ultra-precision freeform surfaces using genetic algorithm joint with sequential quadratic programming." In Advances in Energy Equipment Science and Engineering, 2317–22. CRC Press, 2015. http://dx.doi.org/10.1201/b19126-448.

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Alwin, Duane F. "Developing Reliable Measures." In Measurement Error in Longitudinal Data, 113–54. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198859987.003.0006.

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This chapter presents a general approach to assessing the reliability of measurement of survey questions—those in common use in many surveys. The approach, which relies on a robust set of longitudinal design requirements, applies the quasi-Markov simplex model to multi-wave data in the evaluation of measurement errors for survey questions. Under particular assumptions, this model produces a set of estimates that conform to the psychometric definition of measurement reliability, defined as the ratio of true variance to observed variance. These models attribute some of the over-time inconsistency in measurements to unreliability and some to true change. This strategy rejects traditional notions of reliability that rely on internal consistency estimates for composite variables, as well as the simple test–retest approach to estimating reliability. Rather, the emphasis is on the separation of unreliability from true change in observations made over time. The importance of meeting several design requirements for using these over-time statistical models is also emphasized. These include the use of large-scale panel studies representative of known populations, with a minimum of three waves of measurement, separated by lengthy re-interview intervals, and limited to exactly replicated questions over the multiple waves. Results are presented from several three-wave panel studies that have employed this design, which provide evidence for the utility of the approach in the evaluation of the quality of survey measurement with respect to question content, context, and form.
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Cassettari, Lucia, Roberto Mosca, and Roberto Revetria. "Experimental Error Measurement in Monte Carlo Simulation." In Handbook of Research on Discrete Event Simulation Environments, 92–142. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-774-4.ch006.

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This chapter describes the set up step series, developed by the Genoa Research Group on Production System Simulation at the beginning of the ’80s, as a sequence, through which it is possible at first statistically validate the simulator, then estimate the variables which effectively affect the different target functions, then obtain, through the regression meta-models, the relations linking the independent variables to the dependent ones (target functions) and, finally, proceed to the detection of the optimal functioning conditions. The authors pay great attention to the treatment, the evaluation and control of the Experimental Error, under the form of Mean Square Pure Error (MSPE), a measurement which is always culpably neglected in the traditional experimentation on the simulation models but, that potentially can consistently invalidate with its magnitude the value of the results obtained from the model.
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Lehrer, Keith. "Defensible Knowledge and Exemplars Representation." In Exemplars of Truth, 3–26. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190884277.003.0002.

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This chapter articulates a form of knowledge that requires the capacity to justify and defend our claims to knowledge in terms of a background system by appeal to a special form of representation of experience called exemplarization. Personal justification of a target claim to knowledge consists of defensibility against objections in terms of a background evaluation system of the person. The justification must not depend on error, as the Gettier problem showed, so the defense of the target claim must be sustained when the errors are deleted from the evaluation system in the ultrasystem of the subject. The result is justification that is undefeated or irrefutable by background error. The chapter ends with an account of exemplar representation of experience of the world that connects acceptance with truth security in the representation of experience.
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Chandra, A., and C. Bose. "Error Probability for Coherent Modulations in Rician Fading Channel." In Networking and Telecommunications, 1741–52. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-986-1.ch112.

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Simple closed-form solutions for the average error rate of several coherent modulation schemes including square M-QAM, DBPSK and QPSK operating over slow flat Rician fading channel are derived. Starting from a novel unified expression of conditional error probability the error rates are analysed using PDF based approach. The derived end expressions composed of infinite series summations of Gauss hypergeometric function are accurate, free from any numerical integration and general enough, as it encompasses as special situations, some cases of non-diversity and Rayleigh fading. Error probabilities are graphically displayed for the modulation schemes for different values of the Rician parameter K. In addition, to examine the dependence of error rate performance of M-QAM on the constellation size, numerical results are plotted for various values of M. The generality of the analytical results presented offers valuable insight into the performance evaluation over a fading channel in a unified manner.
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Singh, Bhupesh Kumar. "Evaluation of Genetic Algorithm as Learning System in Rigid Space Interpretation." In Handbook of Research on Novel Soft Computing Intelligent Algorithms, 475–510. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-4450-2.ch016.

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Genetic Algorithm (GA) (a structured framework of metaheauristics) has been used in various tasks such as search optimization and machine learning. Theoretically, there should be sound framework for genetic algorithms which can interpret/explain the various facts associated with it. There are various theories of the working of GA though all are subject to criticism. Hence an approach is being adopted that the legitimate theory of GA must be able to explain the learning process (a special case of the successive approximation) of GA. The analytical method of approximating some known function is expanding a complicated function an infinite series of terms containing some simpler (or otherwise useful) function. These infinite approximations facilitate the error to be made arbitrarily small by taking a progressive greater number of terms into consideration. The process of learning in an unknown environment, the form of function to be learned is known only by its form over the observation space. The problem of learning the possible form of the function is termed as experience problem. Various learning paradigms have ensured their legitimacy through the rigid space interpretation of the concentration of measure and Dvoretzky theorem. Hence it is being proposed that the same criterion should be applied to explain the learning capability of GA, various formalisms of explaining the working of GA should be evaluated by applying the criteria, and that learning capability can be used to demonstrate the probable capability of GA to perform beyond the limit cast by the No Free Lunch Theorem.
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Conference papers on the topic "Roundness, Form Error Evaluation"

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Yang, Yiwei, Hongwu Zhu, Yiwei Yang, Dongsheng He, Yan Zheng, Chuan Li, Liangbin Xu, and Yufa He. "Evaluation of Metal Seals With for Interval Control Valve With Roundness Error Intelligent Well Considering Roundness Error." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19150.

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Abstract Intelligent wells armed with the interval control valve (ICV) are more and more widely applied in the oilfields. In an ICV, the metal seal pair composed of the metal seal ring and the sliding sleeve is designed to isolate the produced fluid flow between the casing annulus and the tubing. The evaluation of the metal seals for ICVs is necessary to enhance the reliability. In this paper, the influences of medium pressure and initial interference on the contact mechanical behaviors of the metal seal for the ICV are studied by using finite element analysis (FEA) when both of the metal seal pair elements have roundness errors. The results indicate that when the both long axes of the metal seal pair’s elliptical sections coincide or are orthogonal, the contact stresses on the core area for the seal face present cosine or sine curve distributions. Each distribution curve becomes smoother with the increase of medium pressure, initial interference or the reduction of sliding sleeve roundness error. And for the contact stress distribution curves, the maximum at the peaks and troughs and the average increase with the increase of the medium pressure, the initial interference and the roundness error of the sliding sleeve. Moreover, when the angle between the metal seal pair elliptical sections’ long axes increases from 0 ° to 90 °, the contact stress distribution curves on the core area for the seal face change from cosine to sine type, and the maximum at the peaks and troughs and the average first decrease and then increase. The relationship curves between the maximum or average contact stress and the angle of two long axes are approximately symmetrical about the line θ = 45° . This paper provides a simulation evaluation for the ICV metal seal pair with roundness error.
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Ghosh, Suhash, Chittaranjan Sahay, and Poorna Pruthvi Chandra Malempati. "Effect of Measuring Instrument Eccentricity and Tilt Error on Circularity Form Error." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11937.

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Abstract From power stations to power tools, from the smallest watch to the largest car, all contain round components. In precision machining of cylindrical parts, the measurement and evaluation of roundness (also called circularity in ASME Geometric Dimensioning & Tolerancing Y14.5) and cylindricity are indispensable components to quantify form tolerance. Of all the methods of measuring these form errors, the most precise is the one with accurate spindle/turntable type measuring instrument. On the instrument, the component is rotated on a highly accurate spindle which provides an imaginary circular datum. The workpiece axis is aligned with the axis of the spindle by means of a centering and tilt adjustment leveling table. In this article, the authors have investigated the dependence of circularity form error on instrument’s centering error (also known as eccentricity) and tilt error. It would be intriguing to map this nonlinear relationship within its effective boundaries and to investigate the limits beyond which the measurement costs and time remain no more efficient. In this study, a test part with different circular and cylindrical features were studied with varying levels of predetermined instrument eccentricity and tilt errors. Additionally, this article explores the significance of incorporating these parameters into undergraduate and graduate engineering curricula, and be taught as an improved toolkit to the aspiring engineers, process engineers and quality control professionals.
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Huo, Li, Yuan Wang, Chunyu Zhao, and Ying Dong. "Multi-Level Search Algorithm for Roundness Error Evaluation by the Minimum Zone Circle Method." In 2016 International Forum on Management, Education and Information Technology Application. Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/ifmeita-16.2016.57.

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Ghosh, Suhash, Chittaranjan Sahay, Poorna Pruthvi Chandra Malempati, and Swetabh Singh. "Dependence of Measuring Instrument Eccentricity and Tilt Error on the Four Mathematical Methods of Circularity Form Errors." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11954.

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Abstract In precision machining of cylindrical parts, the measurement and evaluation of circularity is an indispensable component to quantify form tolerance. Of all the methods of measuring these form errors, the most precise is the one with accurate spindle/turntable type measuring instrument. On the instrument, the component is rotated on a highly accurate spindle which provides an imaginary circular datum. The workpiece axis is aligned with the axis of the spindle by means of a centering and tilt adjustment leveling table. Based on reference circles, this paper focuses on the four modeling methods of roundness, namely, (1) Least Squares Circle (LSC), (2) Maximum Inscribed Circle (MIC), (3) Minimum Circumscribed Circle (MCC) and (4) Minimum Zone or Minimum Radial Separation (MRS) Circles. These methods have been explained in author’s previous article in the context of their implications on design applications, advantages and disadvantages. In this article, the authors have investigated the dependence of these mathematical methods based circularity form error on instrument’s centering error (also known as eccentricity) and tilt error. Some intriguing results were observed for the highly nonlinear relationship of machine’s centering/tilt error with circularity results outside its useful linear region (50–600 μin for this specific machine used in this investigation). Further, the linear and nonlinear relationship was mapped within the effective boundaries of eccentricity settings to investigate the best and worst methods of circularity measurements that are susceptible to instrument errors. Very high and low machine eccentricity settings in its nonlinear regions were not accurately compensated by the machine in circularity results processing. In this study, a master part with different circular and cylindrical features was studied with varying levels of preset instrument eccentricity and tilt errors. Off the four methods, MRS reported the least circularity results. The other three methods didn’t provide any predictable trend. Circularity results were observed to differ up to 35% within these four methods. However, in this preliminary investigation, this maximum difference doesn’t appear to follow any predictable trend with varying machine eccentricities. This article also reinforces the significance of these parameters, and the way they should be understood and be incorporated into undergraduate and graduate engineering curriculum, and be taught as an improved toolkit to the aspiring engineers.
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Zhang, Zhiyong, Yonggang Zhu, and Guilu Wang. "A New Roundness Error Evaluation Method." In ICCIR 2022: 2022 2nd International Conference on Control and Intelligent Robot. New York, NY, USA: ACM, 2022. http://dx.doi.org/10.1145/3548608.3559212.

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Xu, Bensheng, Weiqing Wang, Wangcan Can, and Meifa Huang. "Rapid Precision Evaluation of Roundness Error in Polar Coordinates." In 2018 Eighth International Conference on Instrumentation & Measurement, Computer, Communication and Control (IMCCC). IEEE, 2018. http://dx.doi.org/10.1109/imccc.2018.00013.

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Xianqing Lei, Jishun Li, Yujun Xue, Mingde Duan, and Wei Ma. "Roundness error evaluation based on polar mesh searching algorithm." In 2009 International Conference on Mechatronics and Automation (ICMA). IEEE, 2009. http://dx.doi.org/10.1109/icma.2009.5244911.

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Zhan, Weiwei, Zi Xue, and Yongbo Wu. "Evaluation of roundness error based on improved area hunting method." In Sixth International Symposium on Precision Engineering Measurements and Instrumentation. SPIE, 2010. http://dx.doi.org/10.1117/12.885472.

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Pan, Ting, Qingshan Chen, Lianqing Zhu, Yangkuan Guo, and Zhikang Pan. "Evaluation of Roundness Error Measured by Articulated Coordinate Measuring Machine." In 2012 Second International Conference on Instrumentation, Measurement, Computer, Communication and Control (IMCCC). IEEE, 2012. http://dx.doi.org/10.1109/imccc.2012.69.

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Mao, Jian, Yanlong Cao, Jiangxin Yang, and Xusong Xu. "A novel method for uncertainty evaluation of roundness errors based on geometrical product specification." In Sixth International Symposium on Instrumentation and Control Technology: Signal Analysis, Measurement Theory, Photo-Electronic technology, and Artificial Intelligence, edited by Jiancheng Fang and Zhongyu Wang. SPIE, 2006. http://dx.doi.org/10.1117/12.717175.

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