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Herwig Unger, Mario M. Kubek - Theory and Application of Text-representing Centroids

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Herwig Unger, Mario M. Kubek

Theory and Application of Text-representing Centroids

Series: Informatik/ Kommunikation

Volume 863 2019

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M. M. Kubek, T. Böhme, H. Unger Spreading Activation: A Fast Calculation Method for Text Centroids S. 27-38

„… 27Spreading Activation: A Fast Calculation Method forText CentroidsMario M. Kubek1, Thomas Böhme2 …” „… , whether1Note, that not necessarily χ ∈ W(D).Spreading Activation: A Fast Calculation Method for Text …” „… , . . . , ws, which are nodes within aSpreading Activation: A Fast Calculation Method for Text Centroids 31 …”

Titelei/Inhaltsverzeichnis S. I-VI

„… new graph-based method for their fast calculation is presented as well. In contrast to methods relying …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7Spreading Activation: A Fast Calculation Method for Text CentroidsM. M. Kubek, T. Böhme and H …”

H. Unger, M. M. Kubek Associative Ring Memory to Support Decentralised Search S. 91-106

„… method [16] for the fast calculation of centroid terms for textsof arbitrary length while relying on …” „… .: Spreading Activation: A Fast Calcu-lation Method for Text Centroids, In: Proceedings of the 3rd …” „… ]) are nolonger needed.92 H. Unger and M. M. KubekAdditionally, the calculation of centroid terms can …”

M. M. Kubek, T. Böhme, H. Unger Empiric Experiments with Text-representing Centroids S. 39-54

„… co-occurrence graph) for their calculation will be discussed fol-lowed by a detailed consideration of centroid …” „… the individual. First rough work-ing approximations are learnt fast and seem then to be stable for …” „… experiment shall confirm the fast convergence and stability of the co-occurrence graph which is a …”

M. M. Kubek, H. Unger Centroid Terms as Text Representatives S. 7-26

„… Networks, University of Hagen, GermanyAbstract: The calculation of semantic similarities between text …” „… strong demonstration of how well and fast the human brain, especiallythe human cortex, can process and …” „… mi~ri, (1)12 M. M. Kubek and H. UngerwherebyM =n∑i=1mi. (2)Usually, this model simplifies calculations …”

H. Unger, M. M. Kubek Concept Supporting a Resilient, Fault-tolerant and Decentralised Search S. 79-90

„… fastest manner starting at the first node of the cycle in the nextstep.In both cases, the notification of …” „… a new calculation of the co-occurrence graph on the respective level with the corresponding …” „… re-calculationsof its upper and lower levels. However, this process is relatively seldom needed(last but not least …”

M. M. Kubek, Herwig Unger Towards a Librarian of the Web S. 55-78

„… calculations us-ing its huge databases even when taking into account the rather limited amountof information in …” „… algorithm, the repeated calculation of the up-dated centroids of both obtained clusters is avoided and …” „… carried out only oncesuch that the algorithm runs faster. In order to overcome the (possible) loss …”

H. Unger, M. M. Kubek Evolving Text Centroids S. 121-130

„… , H.: Spreading activation: A fast calculationmethod for text centroids. In: Proceedings of the 3rd …” „… by a fast algorithm as shown, for instance, in [7]. The situation be-comes easier to deal with …” „… Centroid TracesApplying the above described algorithm results in a consecutive calculationof a …”

doi.org/10.51202/9783186863102

Matthias Kunick - Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the Spline-Based Table Look-Up Method (SBTL)

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Matthias Kunick

Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the Spline-Based Table Look-Up Method (SBTL)

Series: Energietechnik

Volume 618 2018

Results in this title

Titelei/Inhaltsverzeichnis S. I-XIV

„… Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the …” „… Spline-Based Table Look-Up Method (SBTL) Fast Calculation of Thermophysical Properties in Extensive Process …” „… Fortschritt-Berichte VDI Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the …”

Summary and Outlook S. 114-117

„… and Outlook 115 Table look-up methods are a fast and accurate alternative for property calculations …” „… fast calculation of numerically consistent inverse functions. Therefore, quadratic and biquadratic …” „… calculation algorithms for complex process simulations, such as flow analysis with Computational Fluid …”

References S. 153-162

„… ] Laughman, C. R., Zhao, Y., Nikovski, D.: Fast Refrigerant Property Calculations Using Interpolation-Based …” „… , 45 (2), 258-263 (2012). [49] Kunick, M., Kretzschmar, H.-J., Gampe, U.: Fast Calculation of …” „… 0-13-022335-2 (1973). [61] IAPWS: Guideline on the Fast Calculation of Steam and Water Properties with the …”

Introduction S. 1-3

„… spent on the calculation of thermophysical properties of the working fluids used. Therefore, very fast …” „… formulation is sufficiently accurate for industrial applications and enables fast property calculations from …” „… , table look-up methods are frequently applied for fast and accurate property calculations. For these …”

Property Calculation Algorithms for Numerical Process Simulations S. 4-49

„… accurate fundamental equations of state (see Sec. 2.2). In order to provide fast property calculation …” „… backward equations are at least 7 times faster than the iterative calculations from the Peng-Robinson …” „… Development of a Fast and Accurate Property Calculation Method for Extensive Process Simulations The fluid …”

SBTL Property Functions Based on IAPWS-IF97 for Water and Steam S. 79-94

„… ]. 5.1 Spline Functions of (v,u) and Inverse Functions In order to provide fast and accurate property …” „… calculation of , , , , ( , )p T s w f v u in the single-phase region. Furthermore, numerically consistent …” „… . Figure 40: Property calculations from (v,u), (p,v), and (u,s). 5.1.1 Range of Validity The range of …”

Application of the SBTL Method in Computationally Expensive Process Simulations S. 107-113

„… out for three different property calculation algorithms, namely the existing IAPWS-IF97 …” „… . Starting values for property calculations at the current volume element are provided from the previous …” „… findings obtained from the comparison of the simulations with the three different property calculation …”

The Spline-Based Table Look-Up Method (SBTL) S. 50-70

„… calculation of numerically consistent backward functions, which are the so-called inverse spline functions …” „… . Therefore, in this document the calculation of properties with the SBTL method is carried out through the …” „… x ; otherwise, the index i needs to be incremented or decremented, and the calculation …”

doi.org/10.51202/9783186618061

VDI Wissensforum GmbH - International Conference on Gears 2022

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2022

Series: VDI-Berichte

Volume 2389 2022

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P. Tenberge, R. Uelpenich, P. Dong, R. He Very fast tooth root optimization – general tool geometry for much smaller tooth root stresses S. 457-468

„… this purpose, we have developed a particularly fast calculation method [10 ... 12]. Very fast tooth …” „… achieved.Gear hobbing of spur gears is a highly productive process. The same tool can be used to Very fast tooth …” „… , 3], the standardized analytical calculation of the maximum tooth root stress in the meshing of …”

K. Kumagai, H. Liu, S. Kurokawa Improving pitting durability by introducing the non-linear wear propagation property of helical gears S. 317-328

„… that the non-linear wear propagation property was obtained as in the calculation results. The wear …” „… study, a wear propagation calculation method was developed by considering a sequential change in the …” „… classify the initial wear domain for which the wear progress is fast, and the steady wear domain, for which …”

J. Furst, F. Joachim, C. Gosselin, J. Thomas Improved design and manufacturing of face gears S. 1461-1466

„… its advantages are reported as well as the design, load capacity calculation similar to ISO 10300 and …” „… allows a the face gear production that is much faster than previously known processes, due to the line …” „… shown that this process is faster than previous hobbing processes. Preferably, the entire tooth height …”

P. Rodel, R. Spieler, M. Indenbirken, T. Nuisl Holistic friction optimization of transmissions – a significant contribution for sustainability S. 731-744

„… components. A precise and fast calculation of friction in contacts is also the basis for many other analyzes …” „… . [20] Vierneusel, B.; Koch, O.: Fast calculation method for predicting the risk of surface initiated …” „… , interactions, and operating conditions. The approach bases on the calculation of the load distribution of the …”

F. Muller, S. Schumann, B. Schlecht Innovative tooth contact analysis with non-uniform rational b-spline surfaces S. 171-184

„… the calculation of local stress on the tooth flank as well as in the tooth root. Derived from this …” „… mesh. The BECAL calculation process is shown in Figure 1 [1]. The flank and root geometry of the gear …” „… thus represented by a discrete 3D point cloud. However, in order to perform the stress calculation, it …”

W. Wagner, S. Schumann, B. Schlecht Enhanced loaded tooth contact analysis of hypoid gears within a multi-body-system simulation S. 357-370

„… line split on two teethThe current method of load distribution calculationTo calculate the load …” „… within a multi-body-system simulation offers the possibility to outsource the calculation of the tooth …” „… of the results and enhance computation speeds the load distribution calculation is investigated …”

F. Eigner, S. Heinrich, M. Berger An approach on contact analysis for micro geometry optimization of the gear unit HypoGear S. 943-950

„… gearbox, b) built in gears. 2. Calculation of the gearing The calculation of the gearing has already been …” „… : Evolution steps of hypoid gearing. 3. Calculation the contact pattern The calculation of the contact …” „… FE-calculation with each iteration stage. Due to the nature of the analysis being exclusively geometric, the …”

S. Ebrahimi, J. Langhart, D. Marano NVH calculations for drivetrains, a methodology for selection of the best suitable calculation approach for a specific purpose S. 75-90

„… is based on analytical methods, the calculation is very fast. This allows the engineer to evaluate …” „… NVH Calculations for Drivetrains, A Methodology for Selection of the Best Suitable Calculation …” „… various calculation approaches for different purposes in the field of dynamic evaluation. For this purpose …”

J. Thomas, C. Gosselin, F. Mieth Design, strength calculation by ISO10300 and loaded TCA of forged differential bevel gears S. 157-170

„… account in this calculation. As expected, the tooth flank is subjected to very high loads and will only …” „… Design, Strength Calculation by ISO10300 and Loaded TCA of Forged Differential Bevel Gears Joachim …” „… , 2] it was shown how strength calculations are possible according to ISO standards as well as by …”

F. Mieth, C. Ulrich, B. Schlecht Stress calculation on bevel gears with FEM influence vectors S. 585-596

„… ) VDI-Berichte Nr. 2389, 20225884. Root stress calculationThe FEM influence numbers offer the possibility of …” „… Stress calculation on bevel gears with FEM influence vectors Loaded tooth contact analysis with …” „… criterion for the evaluation of a gear. For the calculation of the flank and root capacity, a precise loaded …”

E. Lamaj, J. Blomeke, F. Rudolph, J. Hermes A comprehensive, fully parametrized calculation model for improved helical-hypoid gearbox efficiency S. 825-836

„… calculation VDI-Berichte Nr. 2389, 2022 825tools are optimized to be very fast, as they do not consider …” „… A comprehensive, fully parametrized calculation model for improved helical-hypoid gearbox …” „… efficiency requires continuous interdisciplinary improve-ments of the calculation tool chain as well as the …”

N. Tros, J. Brimmers, T. Bergs Approach for multiscale modeling the thermomechanical tool load in gear hobbing S. 1489-1502

„… is presented how a geometric penetration calculation can be com-bined with FEA simulations to a …” „… calculation and uncut chip geometries are determined for each generating position. The uncut chip geometries …” „… calculation of the temperature, an approach is presented how to consider a variable chip thickness profile …”

A. Alnahlaui, P. Tenberge Improved method for the determination of tooth root endurance strength S. 31-44

„… responsibility and its adapted policies in the fast-living modern world urge for a shorter product development …” „… the calculation of components in such a way that they can withstand given external loads for a given …” „… time or cycles without damage [2]. The aim of a fatigue strength calculation is to make the best …”

A. Hilligardt, J. Klose, V. Schulze A new method for avoiding meshing interference in gear skiving S. 1305-1318

„… leads to a fast uptake of the technology. This developmentin the last decade is enabled by progress in …” „… the tool tip circle and workpiece root circle. The calculation of the working pitch circles and …” „… effort, calculation is performed in homogeneous coordinates [8]. The first step is modeling the tool …”

F. Donner, T. Scheu, M. Weigand Dynamic simulation of a rotor system with variable speed S. 985-994

„… Current concepts for fast rotorcraft and tiltrotor-/tiltwing aircraft require a speed variation that …” „… all parts of the compound split stages in front of it. In addition, the calculations also show the …” „… from the turbines to the main rotor is modelled for calculation using the software FVA-Workbench …”

Titelei/Inhaltsverzeichnis S. I-XXVIII

„… calculationThe future of plastic gear standardization …” „… 23, 2022 | 08:38:21 | 148 mm x 210 mm f NVHNVH calculations for drivetrains, a methodology for …” „… selection of the best suitable calculation approach for a specific purpose …”

A. Gebhard, W. Kassem, M. Oehler Cylinder-on-ring model wear tests as an input data source for the simulation of friction and wear of plastic gears S. 1133-1148

„… analysis Friction calculationTemperature calculation Wear simulationGeometry adjustmentnext gear mesh …” „… cylinder-on-ring test [11] as a hybrid between fast and easy to do but over-simple and therefore inaccurate …” „… described in Fig. 3using a simplified flow chart.Fig. 3: Simplified calculation process of the gear …”

L. Bo Integrated optimization of structural and control parameters for a hybrid electric system S. 927-934

„… objectives are respectively the shortest acceleration time and the fastest electric power response. In this …” „… of each stageThe iterative calculation starts from the termination state k = NYThe output of the …” „… final calculation result is the optimal solution of dynamic programming, and the corresponding state …”

D. Park, A. Rezayat, Y. Gwen Gear design optimization for multi-mesh and multi-power flow transmissions under a broad torque range incorporated with multibody simulations S. 849-862

„… optimization task in the existing multibody simulation environment, some additional calculation modules have …” „… conjunction with user-defined S/N curve data obtained by experiments. Especially, this durability calculation …” „… considered but rather is a quasi-static operating condition in the multibody system simulation for the fast …”

L. Hildebrand, F. Dangl, M. Sedlmair, T. Lohner, K. Stahl CFD analysis on the oil flow of a gear stage with guide plate S. 677-694

„… . Basic information on the underlying numerical modeling is given. The considered calculation and …” „… half model was used. Thereby, the meshing and calculation effort was reduced by a 2.5D meshing approach …” „… element sizes within numerical calculation [24]. Pre-investigations have shown a relatively small …”

S. A. Bohme, J. Keski-Rahkonen, T. Komssi A standardizable approach to tooth flank fracture S. 371-388

„… calculationThe observable linear stress difference along P1 proves that the Hertzian stresses have no effect …” „… the calculations that were runon maritime gears [2, 4, 5], FVA test gears [23] and medium-sized test …” „… analytical calculations were matched through the ISO’s mounting factor KHβ−be. The windowin Figure 3b …”

A. Wedmann, M. Stein, K. Kniel Gear calibration in tactile scanning mode on CMMs S. 1539-1552

„… keep the measuring time as short as possible. Fast and reliable analysis of the geometry is essential …” „… faster by a factor of 10 and exhibits a significantly higher point density. As has been common practice …” „… . 2389, 2022 15475. Influence on the measurement uncertainties The calculation of the measurement …”

J.-A. Meis, M. Walkowiak Influence of case hardness depth on tooth interior fatigue fracture S. 863-874

„… starting point for the simulation is the calculation of the stresses below the tooth flank. The stresses …” „… , which is the inclusion with the lowest endurance load limit. By repeating this calculation for a sample …” „… assessment. This allows for a fast strength assessment even for very unusual gear designs. Parameter study …”

B. Reetz, T. Munch, W. Kappeler Challenges for lead-free brass alloys in worm gears S. 1467-1488

„… /Calculation_of_the_Efficiency_of_Worm_Gear_Drives/ [16-03-2021] [10] Zimm. Internet: URL …” „… [6]: - Less friction between the threads means higher efficiency - Faster translation along the …” „… : https://anderol.com/images/news/The_Right_Way_to_Lubricate_Worm_Gears.pdf [16-03-2021] [9] Magyar, B.; Sauer, B.: Calculation of the Efficiency of Worm Gear Drives. Power …”

D. Mevissen, L. Uhlmann, U. Kupper, J. Brimmers, T. Bergs Analysis of friction of bowl-shaped surface structures resulting from alternative gear manufacturing processes S. 1371-1382

„… D-roughness parameters, a micro contact calculation could be a possibility to get a deeper understanding for …” „… parameters could be analyzed in combination with micro contact calculations. 0,00,10,2RoughnessRa / μmBefore …” „… ., RWTH Aachen University, 1976.[3] Bouquet J; Hensgen L; Klink A, et al., 2014: Fast production of gear …”

B. Legrady, M. Taesch, G. Tschirschnitz, C. F. Mieth Prediction of churning losses in an industrial gear box with spiral bevel gears using the smoothed particle hydrodynamic method S. 651-664

„… simulations 20-25 times faster than a Eulerian simulation of the same problem. These aspects indicate the …” „… Computer-Aided Design (CAD) geometries in the SPH method. The calculation of churning losses is executed by means …” „… with the SPH method.Utilizing the advantage of fast pre-processing and easy setup with accurate results …”

T.-T. Mac, D. Iba, Y. Matsushita, S. Mukai, T. Inoue, A. Fukushima, N. Miura, T. Iizuka, A. Masuda, I. Moriwaki Application of genetic algorithms for parameters identification in a developing smart gear system S. 239-252

„… and the experimental data, the proposal of GA for the data fitting process so that it can become fast …” „… reason is probably the idealization of the calculational condition. As mentioned above, the practical …”

doi.org/10.51202/9783181023891

VDI Wissensforum GmbH - Dritev – Drivetrain For Vehicles 2018

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VDI Wissensforum GmbH (ed.)

Dritev – Drivetrain For Vehicles 2018

Series: VDI-Berichte

Volume 2328 2018

Results in this title

D. Bauer, M. Alexander Loss-optimized design of a high performance electrical machine for electric and hybrid cars S. II-183-II-196

„… necessary to have a very exact and detailed loss calculation, a well performing interface between …” „… electromagnetic calculation and thermal model as well as accurate thermal models. This presentation gives a brief …” „… ). For the iron loss calculation formulas like the following one are typically used: with: - Iron …”

L. Dedeleit, M. Ayeb, L. Brabetz Short circuit calculation of permanent magnet synchronous machines with comsol multiphysics S. II-197-III-VII

„… conditions are fulfilled. cos , (22) cos 2 , (23) These equations allow a fast calculation of the …” „… Short Circuit Calculation of Permanent Magnet Synchronous Machines with COMSOL Multiphysics …” „… machine behavior and the associated risks must be evaluated. This paper presents various calculation …”

K.-P. Fritsch Industry 4.0 in the automatic transmission production S. I-397-I-412

„… employees with visualized and comprehensible information for a faster solution of problems and for quality …” „… makes it possible to make processes more efficient, to make decisions faster and more targeted and to …” „… of processes. The decisive factor in guaranteeing an individual and fast reaction to a customer …”

A. Dietrich, H. Klampfl “Friction Stir Welding” – Lightweight through manufacturing technology – The path from a concept to revolutionary gearbox manufacturing S. I-385-I-396

„… in the design and calculation of boltless axle drives. This new approach in design and …” „… effort to provide a welding geometry that allows a fast welding process. This keeps the process cost for …” „… different welding tools, a 2, a 3 and also a 4 mm deep weld were produced. Bases on the FE calculation …”

C. Danzer, T. Voigt, T. Günther, R. Tröger From fleet requirements to optimized Dedicated Hybrid Powertrains S. I-269-I-284

„… . Fig. 2: Complete process of Powertrain Synthesis for vehicle fleets After the complete calculation …” „… maps is achieved by the combination of fast-running algorithms with fully calibrated and predictive …” „… The fully automated calculation process generates the raw result data for all configurations of the …”

W. Guo, M. Jordan, X. Xu The application of fast and efficient clutch coordination control in a P2 hybrid automatic transmission S. I-465-I-484

„… The application of fast and efficient clutch coordination control in a P2 hybrid automatic …” „… by having more than one off-going and on-coming clutch. It enables fast multi-step shifts and thus …” „… , only D8D4 is a simple shift. D7D4 is not a simple shift. The fast shift to D4 needs to consider the …”

M. Kneißler, R. Welter, M. Baumann Entry hybridization of manual transmission drivetrains – A review of P0/P1 structures with an automated clutch S. I-305-I-322

„… perform a dynamic start by closing the clutch while the vehicle is rolling. The restart is fast and …” „… calculation, using fixed efficiencies as this is sufficient to show the general tendencies: overall engine …”

K. Bennewitz, A. Mann Powertrain electrification exemplified by the VW Golf S. II-135-II-168

„… transmission with respect to guaranteeing the best combination of smooth start and a fast response. Unaffected …” „… integrated charge control. Compared to the lead-acid battery, it charges faster due to its low internal …” „… . Moreover, it is the fastest starting option under the prevailing conditions. The selection of start type …”

doi.org/10.51202/9783181023280

VDI Wissensforum GmbH - International Conference on Gears 2023

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2023

Series: VDI-Berichte

Volume 2422 2023

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J. König, M. Obermayr, T. Klein Digitalization of the Gear Development Process – Chances, Benefits and Risks S. 1017-1026

„… focused on individual components, neglecting system interactions. System calculation software introduced a …” „… systems. For decades, engineers have utilized digital tools to perform complex calculations, model and …” „… . VDI-Berichte Nr. 2422, 20231018Each of these innovations fostered the engineering towards a better, faster and …”

J. Langhart, S. Ebrahimi, T. Kelichhaus A comparison of time and frequency domain approaches for NVH S. 583-598

„… terms of the gear flank modifications. The calculation of the gear mesh forces is much faster in a …” „… periodical vibrations such as gear whine noise, and the calculation of dynamic effects, two main approaches …” „… frequency domain approaches differ in the calculation methods. The frequency domain approach uses algebraic …”

M. Rothemund, M. Otto, K. Stahl Applicability of classic analytical calculation approaches for the design of plastic gears S. 1483-1498

„… of fast calculation methods for load capacity calculations, whether in the form of standards or …” „… Applicability of classic analytical calculation approaches for the design of plastic gears M …” „… calculation programs are designed with a focus on steel gears. Their applicability to gears made of plastics …”

J. Gründer, A. Monz Analytical Method for Calculating the Nominal Tooth Root Stress in Worm Gear Shafts S. 1091-1110

„… calculation method. In ANSI/AGMA 6022-C93 [6], an additional design aspect provides the calculation of the …” „… of the used calculation method and specific for different applications. In ISO 6336-3 [17], the …” „… correction factors. The FKM guideline [19] offers a comprehensive calculation method for assessing the …”

L.-C. Chang, Q. Y. Zhuang, S.-J. Tsai, J.-F. Hochrein, S. Landler, M. Otto, K. Stahl Comparing the contact characteristics of involute gear/ eccentric cycloidal gear calculated by various loaded tooth contact analysis models S. 397-412

„… line. This approach is lead to faster calculations compared to the LTCA model from MDL. The influence …” „… , Braunschweig. [10] JF. Hochrein, M. Otto, K. Stahl (2022) Fast tooth deflection calculation method and its …” „… contact analysis method 3.1 RIKOR calculation model In RIKOR calculation program, the contact bodies are …”

O. Harris, C. Poyser, R. Patel, O. Shires Developing CAE solutions for Robotics gears: Cycloidal and Strain Wave Gear Drives S. 1111-1124

„… present a model of strain wave gearing. A relatively low fidelity model, with a fast calculation time, is …” „… may be well suited to very fast initial design calculations, followed by comparison to full Finite …” „… the computing time necessary to run the FE calculation, 60 hours are required to run this result using …”

W. Kassem, J. Müller, M. Oehler, O. Koch Analytical tooth root stress calculation for short fiberreinforced plastic gears S. 1361-1374

„… Analytical tooth root stress calculation for short fiber-reinforced plastic gearsW. Kassem, M.Sc …” „… AbstractThe tooth root stress calculation of fiber-reinforced plastic gears is much more complex than for …” „… approach was developed to such an extent that it can be linked with the tooth root stress calculation of …”

M. J. Herberger, F. Rudolph, B. Sievers Efficient concepts for high ratio angular gearboxes S. 801-814

„… correlation is shown for both W.7 (SPIROPLAN®) and K.9 (hypoid) gearboxes using different calculation methods …” „… for the load-dependent gearing losses. A comparison of calculation methods shows, that the local …” „… calcula-tion method for bevel gears according to FVA 519 presumably underestimates the efficiency of the …”

K. Suzuki, K. Sakai, K. Sakai, T. Hara Considerations on Lubrication of High-Speed Rotating Gear (First Report) S. 741-752

„… . Verify the lubrication state on the tooth surface when injecting directly on the gears5.1. Calculation …” „… oil injection is expressed by the following formula.*This calculation does not include airflow …” „… generated from gears.*Symbols for calculation formula are defined as follows. Fig.4 Test …”

B.-S. Kim, D. Im, J.-H. Park, W.-J. Chung, Y.-J. Park Development of Optimal Design Program for Macro-Geometry of Planetary Gear Set using Multi-Objective Optimization Algorithm S. 1181-1194

„… using a finite element model. Since fast calculation is required to execute the multi-objective …” „… parameter study [1]. However, if the calculation is performed for all cases, the amount of calculation is …” „… . VDI-Berichte Nr. 2422, 202311822.2.1. Gear mass calculation Since this study aims at the initial design of a …”

J. Vorgerd, P. Tenberge, M. Steinrötter Scuffing load carrying capacity of high-speed gears with an isotropic superfinished surface S. 227-242

„… increasingly used to reduce friction in the local slide-roll contacts. However, the current calculation …” „… sensitivity of the gear pair regarding scuffing, Eq. 4. 𝑆 (Eq. 4) For the calculation of scuffing, ISO …” „… calculation of gear friction. Isotropic superfinishing influences the friction condition. The model for …”

M. Vivet, A. Rezayat, J. Verhoogen, K. Kucukcoskun, S. Donders Numerical analysis of bevel gear transmission acoustic emission using a 3D gear contact force model within a multibody system dynamics simulation environment S. 689-702

„… of that, they face a fast-changing market environment, due to the altering regulations and many …” „… tooth flank description, fast 3D contact detection and various levels of accuracy for the contact force …” „… calculation within a system-level oriented simulation environment. The bevel gear contact element includes …”

B. van Wissen, L. Pastukhov, F. Mitsuzuka, K. Iwanaga, A. Hasanovic NVH performance of thermoplastic gears: modelling and measuring S. 1389-1402

„… with calculations based on VDI 2736 and mathematical modelling, information is gained about the root …” „… 2736 method C as calculation method. The contact analysis option was used to calculate the contact …” „… the Fast Fourier Transformation method into the frequency domain. This allows for a clear …”

C. Kunik, J. Kunert Wetting and oil flow analysis of planetary gearboxes using oil flow simulations S. 467-484

„… additional increase of calculation time results from the application of two-phase flow applications, e.g. the …” „… even too high computational effort respectively calculation time. Nevertheless, it has been proven in …” „… transition. All of these advantages mean that simulations using the SPH method are significantly faster not …”

N. De Bie, W. Smet, T. Van Der Kamp Assessing gear mesh misalignment in a parallel gear set by transmission error measurements S. 291-300

„… operating under load [2]. The calculation occurs under static conditions considering gear flank …” „… . This time-domain signal of relative motion can be converted via a Fast Fourier Transformation into a …” „… misalignment of 18µm/100mm. Fig. 10: a) Simulated contact patch in updated calculation model b) Transmission …”

C. Herzog, D. Drummer Influence of the injection molding process on the tooth deflection of plastic gears during operation S. 1435-1448

„… analytic calculations can only partly and simplifying describe the tooth bending of plastic gears during …” „… properties of injection molded parts are highly influenced by the process design. Faster cooling of the melt …” „… was designed by Frenco GmbH, Altdorf, Germany, using a spline calculation. The different contours lead …”

S. Landler, M. Trübswetter, M. Otto, K. Stahl Parameter Based Definition of Eccentric Cycloid Gearings S. 1207-1228

„… , pp. 19–33 [27] Hochrein, J.-F., Otto, M. and Stahl, K.: Fast tooth deflection calculation method and …” „… i: rw2=i rw1 . (14)This results in the calculation of the pitch radius of the arc gear rw1 with the …” „… calculations. Parameter Symbol Numerical value Unit Number of teeth of arc gear z1 3 - Number of teeth of …”

M. Reichl, P. Lenz, A. Oliva Challenges and possibilities of virtual development of e-axle transmissions S. 485-498

„… be set up much faster and the simulation of different geometry variants is also very efficient and …” „… section, the results of the power loss calculation of the FZG gearbox are presented. The power losses at …” „… calculations in PreonLab. This allows to investigate more design variants, or alternatively achieve a deeper …”

F. Reinle, D. Mangherini, A. Bongiovanni Enhancing gear performance through advanced mass finishing and DEM simulation S. 1777-1786

„… like stiffness and movement speed, eliminating the need for calculation convergence. The interaction …” „… also due to the smaller outer diameter (31 – 45 mm). The rotation speed was twice as fast as that in …” „… exit the fast-moving gaps is attributed to the slower particle flow beyond the workpiece. (The …”

S. Sklenak, D. Mevissen, J. Brimmers, C. Brecher, B. Lenz, A. Mehner Analysis of Load Cycles and Local Wear of Dry and Solid-Lubricated Gears S. 727-740

„… calculation of dry gears [5]. Furthermore, the different lubricant properties result in dif-ferent application …” „… research There are currently no calculation guidelines for the design of dry and solid-lubricated gearing …” „… correlation between the temperature rise and the service life. The faster the temperature rises, the shorter …”

L. Bonaiti, M. Brambilla, P. Chiariotti, A. Cigada, C. Gorla, G. Boni, P. Codeluppi The effect of pinion axial positioning on noise and transmission error of face hobbed and face milled bevel gears S. 839-852

„… fast assembly/disassembly of the gear set and to enable splash lubrication. The gearbox is made of …” „… signal, can be used as a means to describe the calculation procedure. The encoder signal is shown …” „… TE is calculated, the signal is then band-pass filtered to reduce noise content. This calculation …”

S. Moschkau, S. Held Optimization of product quality and manufacturing processes in real-time with vibration analysis S. 1821-1828

„… the event of tool breakage. This requires very fast information transfer close to the machine. For …” „… processing, generates a frequency spectrum from this continuously using Fast Fourier Transformation (FFT) and …” „… deviation and quantile calculation which the user can identify conspicuous frequency ranges with. Fig. 3 …”

B. Morhard, T. Lohner, K. Stahl Influence of Surface and Material Technologies on Loss of Lubrication Performance of Gears S. 779-784

„… injection lubrication, REF and CT gears show a fast decrease of torque loss. SF gears show after an initial …” „… Einlaufverhalten von Verzahnungen - Engl.: Calculation of TEHL Contacts and Running-in Behavior of Gears …”

E. Grabovic, A. Artoni, M. Gabiccini, E. Ciulli Exploration of trade-offs between NVH and efficiency in bevel gear design S. 853-880

„… authors. The efficiency calculation is coupled with a state-of-the-art loaded tooth contact analysis (LTCA …” „… over the contact zones; 2. calculation of the geometric and kinematic properties of the contacting …” „… ). Notably, the Particle Swarm Optimization- Gravitational Search Algorithm (PSOGSA) [17] and the Fast …”

T. Schmid-Schirling, N. Saum, C. Eberz de Oliveira Löhrer Marker-Free, Single Item Traceability in Gear Wheel Production Based on Inherent Surface Patterns S. 1877-XXIX

„… demonstriert werden, der die Oberfläche leicht veränderte. Im Anwendungsfall 2 konnten fast 100 …” „… orientation making the calculations heavier than in the case of the automotive gear wheel.4. Discussion For …” „… ., Kudo, Y.: FAST IMAGE MATCHING BASEDON FOURIER-MELLIN PHASE CORRELATION FOR TAG-LESS IDENTIFICATIONOF …”

T. Kleiber, B. Neubauer Advancing to The Next Level – Cost Efficient Roll-Inspection: Back from End-of-Line NVH to Skiving Process S. 1591-1606

„… ranges of the 2FI’s Fast Fourier’s Transform (FFT) raw data with a resolution of 0.1 [µm]. The target is …” „… order skiving gear type – Correlation matrix decoding The correlation matrix is an excellent calculation …” „… next level Double Flank Inspection assures that there is fast reaction time from gear defect …”

B. Černe, N. Vukašinović, D. Zorko In-situ experimental methods for measuring tooth meshing displacements and wear during polymer gear tests using a high-speed camera with microscopy optics S. 1563-1580

„… , Fast, Robust and Accurate Digital Image Correlation Calculation Without Redundant Computations …” „… - Calculation of the load-carrying capacity, n.d. [27] B. Cerne, M. Petkovšek, J. Duhovnik, J. Tavcar …”

J. D. M. Marafona, J. H. O. Seabra, P. M. T. Marques, R. C. Martins Effect of overlap ratio on gear dynamic behavior and noise level S. 1239-1256

„… distance.The definition of the objective function, established in equation (1), involves the calculation of the …” „… harmonic amplitudes of the Fast Fourier Transform of DTEOSC, that is the oscillating component of the DTE …” „… Reliability in Design 108 (1986) 95–100.[12] ISO 6336, Calculation of load capacity of spur and helical gears …”

L. Binanzer, L. Merkle, M. Dazer, A. Nicola Pitting Detection for Prognostics and Health Management in Gearbox Applications S. 97-108

„… step contains first of all a Fast Fourier Transform (FFT) of the given time frame. The resulting …” „… Standardization, Hrsg., ISO 6336-5 Calculation of load capacity of spur and helical gears - Part 5: Strength and …”

M. Werner, S. Graf, M. Oehler, O. Koch Investigation of the electrical behavior of a spur gear stage pair by means of impedance measurements S. 67-80

„… of the use of fast-switching frequency converters with IGB (insulated-gate bipolar) or SiC (silicium …” „… ., Technische Universität Darmstadt, 2021 [14] Magdun, O.; Binder, A.: „Calculation of roller and ball bearing …”

I. Hong, D. Talbot Tooth Bending Strain Rate Analysis in a Counter Shaft Drivetrain and Implications on Fatigue Strength S. 53-66

„… look to ultrasonic fatigue testing as it is by far the fastest accelerated fatigue test method …” „… power = output power) in all power calculations across the gearset. Figure 2 shows a schematic of a …”

K. Lübke, K. Stein Quality inspection of special geometries measured with computed tomography – Evaluation of involute cylindrical gears according to ISO 1328-1 S. 1787-1802

„… calculations. To meet the requirements of international standards for cylindrical involute gears, the …” „… computed tomography differs depending on the chosen measurement mode: “on the fly” measurement is faster …”

P. Fischmann, A. Hilligardt, V. Schulze Tooth Root Burnishing in the Kinematics of Gear Skiving S. 1829-1844

„… especially internal gears and gears with lowest tool runouts leads to a fast uptake of the technology in the …” „… manufacturing of electric powertrain components with small modulus gears. The detailed calculation and …”

F. Concli, M. N. Mastrone Latest advancements in the lubrication simulations of geared systems: a technology ready for industrial applications S. 499-518

„… relatively recent significant increase in the computational resources had promoted a fast grown of the …” „… : Measurements and computational fluid dynamics calculations,” Proceedings of the Institution of Mechanical …”

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