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1

Romanenko, S. V., and A. G. Stromberg. "Modelling of analytical peaks." Analytica Chimica Acta 581, no. 2 (January 2007): 343–54. http://dx.doi.org/10.1016/j.aca.2006.08.028.

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2

Shanmugasundaram, N., and Prince G. Arulraj. "Analytical Modelling of Built-up Steel Beams Using ANSYS." Bonfring International Journal of Industrial Engineering and Management Science 6, no. 3 (June 30, 2016): 82–87. http://dx.doi.org/10.9756/bijiems.7346.

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3

Wright, C., and B. Middleton. "Analytical modelling of perpendicular recording." IEEE Transactions on Magnetics 21, no. 5 (September 1985): 1398–400. http://dx.doi.org/10.1109/tmag.1985.1063998.

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4

Meliani, Z., and C. Sauty. "Analytical modelling of AGN outflows." Proceedings of the International Astronomical Union 2004, IAUS222 (March 2004): 459–60. http://dx.doi.org/10.1017/s1743921304002911.

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5

Asnafi, Nader. "Analytical modelling of tube hydroforming." Thin-Walled Structures 34, no. 4 (August 1999): 295–330. http://dx.doi.org/10.1016/s0263-8231(99)00018-x.

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6

Grong, Ø., A. K. Dahle, M. I. OnsØien, and L. Arnberg. "Analytical modelling of equiaxed solidification." Acta Materialia 46, no. 14 (September 1998): 5045–52. http://dx.doi.org/10.1016/s1359-6454(98)00166-9.

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7

Kirsta, Yuri B. "System-analytical modelling—Part II." Ecological Modelling 191, no. 3-4 (February 2006): 331–45. http://dx.doi.org/10.1016/j.ecolmodel.2005.05.027.

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8

Kirsta, Yuri B. "System-analytical modelling—Part I." Ecological Modelling 191, no. 3-4 (February 2006): 315–30. http://dx.doi.org/10.1016/j.ecolmodel.2005.05.028.

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9

Kouri, Jeffrey V., and Satya N. Atluri. "Analytical modelling of laminated composites." Composites Science and Technology 46, no. 4 (January 1993): 335–44. http://dx.doi.org/10.1016/0266-3538(93)90179-k.

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10

TAHA, ZAHARI, MOHD HASNUN ARIF HASSAN, and ISKANDAR HASANUDDIN. "Analytical modelling of soccer heading." Sadhana 40, no. 5 (August 2015): 1567–78. http://dx.doi.org/10.1007/s12046-015-0383-5.

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11

Al-Begain, Khalid, Dieter Fiems, and Jean-Marc Vincent. "Analytical and stochastic modelling techniques." Annals of Operations Research 239, no. 2 (April 2016): 355–57. http://dx.doi.org/10.1007/s10479-016-2168-6.

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12

Fang, Xiangfan, and Kanlun Tan. "Analytical modelling of twist beam axles." International Journal of Vehicle Systems Modelling and Testing 13, no. 1 (2018): 1. http://dx.doi.org/10.1504/ijvsmt.2018.094581.

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13

Tan, Kanlun, and Xiangfan Fang. "Analytical modelling of twist beam axles." International Journal of Vehicle Systems Modelling and Testing 13, no. 1 (2018): 1. http://dx.doi.org/10.1504/ijvsmt.2018.10015724.

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14

Nasseri, S. Ali, Bhaskarjyoti Sarma, Gianfranco Durin, and Claudio Serpico. "Analytical Modelling of Magnetic DW Motion." Physics Procedia 75 (2015): 974–85. http://dx.doi.org/10.1016/j.phpro.2015.12.133.

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15

Crivelli Visconti, I., and A. Langella. "Analytical modelling of pressure bag technology." Composites Manufacturing 3, no. 1 (January 1992): 3–6. http://dx.doi.org/10.1016/0956-7143(92)90176-u.

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16

Simovski, Constantin R. "Analytical modelling of double-negative composites." Metamaterials 2, no. 4 (December 2008): 169–85. http://dx.doi.org/10.1016/j.metmat.2008.09.003.

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17

Crisafulli, Francisco J., Athol J. Carr, and Robert Park. "Analytical modelling of infilled frame structures." Bulletin of the New Zealand Society for Earthquake Engineering 33, no. 1 (March 31, 2000): 30–47. http://dx.doi.org/10.5459/bnzsee.33.1.30-47.

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The analytical modelling of infilled frames is a complex issue because these structures exhibit a highly non- linear inelastic behaviour resulting from the interaction of the masonry infill panel and the surrounding frame. This paper presents a general review of the different procedures used for the analysis of infilled frames, which can be grouped in local or micro-models and simplified or macro-models, depending on the degree of refinement used to represent the structure. The finite element formulation and the equivalent truss mechanism are the typical examples of each group. The advantages and disadvantages of each procedure are pointed out, and practical recommendations for the implementation of the different models are indicated.
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18

Bolotin. "Analytical modelling of fatigue crack propagation." Fatigue Fracture of Engineering Materials and Structures 22, no. 11 (November 1999): 939–47. http://dx.doi.org/10.1046/j.1460-2695.1999.00234.x.

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19

Jovcic, D., N. Pahalawaththa, and M. Zavahir. "Analytical modelling of HVDC-HVAC systems." IEEE Transactions on Power Delivery 14, no. 2 (April 1999): 506–11. http://dx.doi.org/10.1109/61.754095.

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20

Méolans, J. G., and I. A. Graur. "Continuum analytical modelling of thermal creep." European Journal of Mechanics - B/Fluids 27, no. 6 (November 2008): 785–809. http://dx.doi.org/10.1016/j.euromechflu.2008.01.005.

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21

Ghibaudo, G. "Analytical modelling of the MOS transistor." Physica Status Solidi (a) 113, no. 1 (May 16, 1989): 223–40. http://dx.doi.org/10.1002/pssa.2211130127.

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22

Quadros, Régis S., Glênio A. Gonçalves, Daniela Buske, and Guilherme J. Weymar. "An Analytical Methodology to Air Pollution Modelling in Atmosphere." Defect and Diffusion Forum 396 (August 2019): 91–98. http://dx.doi.org/10.4028/www.scientific.net/ddf.396.91.

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This work presents an analytical solution for the transient three-dimensional advection-diffusion equation to simulate the dispersion of pollutants in the atmosphere. The solution of the advection-diffusion equation is obtained analytically using a combination of the methods of separation of variables and GILTT. The main advantage is that the presented solution avoids a numerical inversion carried out in previous works of the literature, being by this way a totally analytical solution, less than a summation truncation. Initial numerical simulations and statistical comparisons using data from the Copenhagen experiment are presented and prove the good performance of the model.
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23

Belgorodskaya, Elena, Viktor Korenek, and Raisa Korenek. "ANALYTICAL APPROACH IN DRAWING IN ARCHITECTURAL EDUCATION." Problems of theory and history of architecture of Ukraine, no. 21 (May 2021): 196–204. http://dx.doi.org/10.31650/2519-4208-2021-21-196-204.

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Drawing is one of the vital tools of creative process for an architect. It helps to generate an idea. Work on image of a future building starts with it. Teaching drawing is one of the most important stages in comprehensive specialized training of architecture students. So the purpose of this article is the essence of analytical approach in drawing. And its tasks are to analyze basic types of drawing, to reveal the essence of shape making and analytical approach in drawing in architects; to uncover the meaning of basic methods of constructive drawing; to outline the place of constructive drawing in development of an architect’s professional competencies. Techniques for creating a shape of an object on a plane largely depend on its structure. Therefore, when analyzing a shape of an object, one should start with an insight into the essence of its inner structure, disregarding small details, which prevent one from understanding geometric base of its construction. This will enable students to get more comprehensive information about the object and to create a drawing deliberately. Construction in fine arts means the essence, distinguishing feature of a structure of any shape, implying interrelation of parts in the whole and their correlation. When analyzing basic types of drawing in our research, we study linear constructive (linear) drawing, linear constructive drawing with conditional light-and-shadow, light-and-shadow drawing, tonal drawing. Teaching architecture students academic drawing should be based on structural constructive drawing, also known as linear constructive drawing. Key task in teaching drawing is to learn to see three-dimensional shape of an object correctly and to be able to depict it in a logical sequence on a plane of a sheet of paper. Shape of an object shall mean geometric essence of the surface of the object, characterizing its exterior. Hence, any object is a shape, and a shape means volume. Shape modelling suggested by A. P. Chistov is based on the following methods: modelling of a complex shape (Boolean modelling), polygonal modelling, curve modelling (spline modelling), tonal modelling, symmetrical shape modelling, and dynamic modelling.
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24

Liu, Hong-Yan, Zhi-Min Li, Yan-Ju Yao, and Frank Ko. "Analytical modelling of dry-jet wet spinning." Thermal Science 21, no. 4 (2017): 1807–12. http://dx.doi.org/10.2298/tsci160110072l.

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This paper introduces an analytical method for the analysis and design of a dry-jet wet spinning system. The 1-D mass conservation equation is used, and velocity distribution is assumed to derive a simple relationship among various spinning parameters. The effect of spinneret mass flow rate, solution density, spinneret structure including velocity and air-gap length, and drawing velocity on the dry-jet wet spinning was simulated using the proposed analytical model. Theoretical prediction of fiber diameter is obtained, which depends upon spinning conditions, solution properties, and spinneret structure. The theoretical results were verified by comparing experimental data with the numerical solution. It was found obviously that the theoretical prediction has comparable accuracy as that by numerical computation. The analytical model can be useful for preliminary design of a spinning process for fabrication of fibers with controllable diameter by adjusting parameters in spinning conditions.
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25

D'Alessandro, Felice, Giuseppe Roberto Tomasicchio, Fausta Musci, and Andrea Ricca. "DUNE EROSION PHYSICAL, ANALYTICAL AND NUMERICAL MODELLING." Coastal Engineering Proceedings 1, no. 33 (December 14, 2012): 32. http://dx.doi.org/10.9753/icce.v33.sediment.32.

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The present paper provides an overview of the large-scale physical model experiments performed at the Canal d’Investigaciò i Esperimentaciò Marìtima (CIEM), Laboratori d’Enginyeria Marìtima (LIM), Universitat Politècnica de Catalunya (UPC), Barcelona, within the EU-Hydralab III Integrated Infrastructure Initiative. The model tests have been carried out in a flume with a sandy dune exposed to a combination of water levels and wave conditions. Different regimes of wave attacks on the sandy/beach dune system have been investigated; in particular, the study provides a unique set of large-scale physical data concerning the storm waves induced dune overwash (Tomasicchio et al. 2011a; Tomasicchio et al.2011b). The effects of various “load parameters” on the dune erosion process generation, including dune recession rates in terms of the retreat of the dune face, Δx, and the eroded volume, ΔV, have been investigated and discussed. The laboratory data sets have been adopted to calibrate and verify the analytical model proposed by Larson et al. (2004) in order to calculate the values of ΔV at specific time intervals. Furthermore, the profile measurements have been used to calibrate and verify the numerical model C-SHORE (Kobayashi et al. 2007) predicting the beach-dune profile modifications over the near-shore region (Tomasicchio et al. 2011a; Tomasicchio et al.2011b).
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26

Luhanga, M. L., and T. E. Stern. "Analytical Modelling of Small Packet Voice Systems." International Journal of Electrical Engineering Education 22, no. 4 (October 1985): 339–44. http://dx.doi.org/10.1177/002072098502200410.

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27

Gönüllü, M. Talha. "Analytical Modelling of Organic Contaminants in Leachate." Waste Management & Research 12, no. 2 (March 1994): 141–50. http://dx.doi.org/10.1177/0734242x9401200204.

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28

Gönüllü, M. Talha. "Analytical Modelling of Inorganic Contaminants in Leachate." Waste Management & Research 12, no. 4 (July 1994): 339–50. http://dx.doi.org/10.1177/0734242x9401200406.

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29

Arns, M., M. Fischer, P. Kemper, and C. Tepper. "Supply chain modelling and its analytical evaluation." Journal of the Operational Research Society 53, no. 8 (August 2002): 885–94. http://dx.doi.org/10.1057/palgrave.jors.2601381.

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30

Martínez, I., J. Meseguer, and J. M. Perales. "Analytical modelling of floating zone crystal growth." Advances in Space Research 29, no. 4 (January 2002): 569–74. http://dx.doi.org/10.1016/s0273-1177(01)00656-1.

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31

Bowen, C. R., A. Perry, H. Kara, and S. W. Mahon. "Analytical modelling of 3-3 piezoelectric composites." Journal of the European Ceramic Society 21, no. 10-11 (January 2001): 1463–67. http://dx.doi.org/10.1016/s0955-2219(01)00042-5.

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32

Khawam, Kinda, Marc Ibrahim, Marwen Abdennebi, Dana Marinca, and Samir Tohme. "Analytical modelling in 802.11 ad hoc networks." Computer Communications 34, no. 15 (September 2011): 1883–91. http://dx.doi.org/10.1016/j.comcom.2011.05.008.

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33

Lizzi, Frederic L., and Michael Ostromogilsky. "Analytical modelling of ultrasonically induced tissue heating." Ultrasound in Medicine & Biology 13, no. 10 (October 1987): 607–18. http://dx.doi.org/10.1016/0301-5629(87)90058-5.

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34

Saxena, Priyam, Kyle Hoegh, Lev Khazanovich, and Alex Gotlif. "Laboratory and analytical modelling of misaligned dowel." International Journal of Pavement Engineering 13, no. 3 (June 2012): 209–15. http://dx.doi.org/10.1080/10298436.2011.596936.

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35

Dargnat, F., Ph Darnis, and O. Cahuc. "ENERGETICAL APPROACH FOR SEMI-ANALYTICAL DRILLING MODELLING." Machining Science and Technology 12, no. 3 (September 11, 2008): 295–324. http://dx.doi.org/10.1080/10910340802278083.

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36

Ulutan, D., B. Erdem Alaca, and I. Lazoglu. "Analytical modelling of residual stresses in machining." Journal of Materials Processing Technology 183, no. 1 (March 2007): 77–87. http://dx.doi.org/10.1016/j.jmatprotec.2006.09.032.

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37

Al-Kashoash, Hayder A. A., Fadoua Hassen, Harith Kharrufa, and Andrew H. Kemp. "Analytical modelling of congestion for 6LoWPAN networks." ICT Express 4, no. 4 (December 2018): 209–15. http://dx.doi.org/10.1016/j.icte.2017.11.001.

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38

Sahin, Ahmet Z., and Ibrahim Dincer. "Analytical modelling of transient phase-change problems." International Journal of Energy Research 24, no. 12 (2000): 1029–39. http://dx.doi.org/10.1002/1099-114x(20001010)24:12<1029::aid-er640>3.0.co;2-j.

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39

Di Gerlando, Antonino, and Claudio Ricca. "Analytical Modelling of the Slot Opening Function." Magnetism 3, no. 4 (November 3, 2023): 308–26. http://dx.doi.org/10.3390/magnetism3040024.

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The slot opening function, also called relative air gap permeance, is a function which, multiplied by the flux density distribution of a slotless geometry, gives the flux density distribution of a slotted configuration. Here, the magnetic field inside the air gap of a multi-slot surface facing a smooth one was studied, by solving the Laplace equation inside the air gap, in terms of a Fourier series. To obtain the Fourier coefficients, at first, the conformal mapping analytical solution of a single-slot configuration along the smooth surface, was considered. Then, the principle of superposition of the single-slot lost flux density distributions was applied to obtain the multi-slot distribution. The approach is valid in general, and in the case of interference among the flux density distributions of adjacent slots, where their mutual effect cannot be neglected. The field distributions obtained by using the proposed slot opening functions were compared with FEM simulations, showing satisfactory agreement. The numerical accuracy limits were also analysed and discussed.
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40

Gönüllü, M. "Analytical Modelling Of Organic Contaminants In Leachate." Waste Management & Research 12, no. 2 (April 1994): 141–50. http://dx.doi.org/10.1006/wmre.1994.1004.

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41

Gönüllü, M. "Analytical Modelling Of Inorganic Contaminants In Leachate." Waste Management & Research 12, no. 4 (August 1994): 339–50. http://dx.doi.org/10.1006/wmre.1994.1023.

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42

Dargnat, F., Ph Darnis, and O. Cahuc. "Analytical modelling of cutting phenomena improvements with a view to drilling modelling." International Journal of Machining and Machinability of Materials 5, no. 2/3 (2009): 176. http://dx.doi.org/10.1504/ijmmm.2009.023390.

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43

Wong, Leong Sing, and Shamini Somanathan. "Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat." Civil Engineering Journal 5, no. 2 (February 26, 2019): 398. http://dx.doi.org/10.28991/cej-2019-03091254.

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The objective of the paper is to compare and evaluate analytical and numerical solutions of one-dimensional consolidation of stabilized peat. The type of analytical method used to solve the problem is exact method by separation of variables and utilization of Fourier series. Plaxis 2D 8.2 Professional version software was used to find numerical solution to the problem by employing the finite element method. One-dimensional consolidation problem of stabilized peat was solved numerically and validated with the one solved analytically based on laboratory experimental results. From the results, it was discovered that the consolidation characteristics of stabilized peat evaluated numerically were found to have close approximation to those evaluated analytically. There is a novel value in developing an accurate numerical prediction for the vertical consolidation of stabilized peat considering the complexity of the soil treatment method. It must be noted that peat is highly problematic because it is produced from plant decomposition with extremely high organic matter.
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44

Neuvéglise, Sixtine, Gaële Perret, Hassan Smaoui, François Marin, and Philippe Sergent. "Two-Dimensional Modelling of a Quayside Floating System." Journal of Marine Science and Engineering 8, no. 11 (November 11, 2020): 903. http://dx.doi.org/10.3390/jmse8110903.

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This paper studies the behaviour of a quayside floater oscillating in front of a vertical dike. In order to study the floater motion and the impact of the dike on the floater, a linear analytical model based on 2D potential flow theory in intermediate water depth conditions and a numerical model resolving 2D Navier–Stokes equations are developed. Physical tests performed for different floater dimensions in a wave tank are used as references for the analytical and numerical models. The comparison of the results obtained analytically, numerically and experimentally leads to the validity domain of the potential model. A correction of this model is proposed, based on the optimization of the radiated coefficients, and a quadratic drag term is added according to Morison equation. The impact of the different parameters of the system on floater behaviour is considered. Results show that the draft has the most important impact on floater motion.
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45

Ouagued, Sofiane, Yacine Amara, and Georges Barakat. "Comparison of hybrid analytical modelling and reluctance network modelling for pre-design purposes." Mathematics and Computers in Simulation 130 (December 2016): 3–21. http://dx.doi.org/10.1016/j.matcom.2016.05.001.

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46

Altaie, Sarmad A., Azizan Saaban, and Ali F. Jameel. "Approximate analytical modelling of fuzzy reaction-diffusion equation." International Journal of Computing Science and Mathematics 13, no. 2 (2021): 136. http://dx.doi.org/10.1504/ijcsm.2021.114179.

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47

Jameel, Ali F., Azizan Saaban, and Sarmad A. Altaie. "Approximate analytical modelling of fuzzy reaction-diffusion equation." International Journal of Computing Science and Mathematics 13, no. 2 (2021): 136. http://dx.doi.org/10.1504/ijcsm.2021.10036895.

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48

Laghzale, Noreddine, and Abdel-Hakim Bouzid. "Analytical Modelling of Elastic-Plastic Interference Fit Joints." International Review on Modelling and Simulations (IREMOS) 9, no. 3 (June 30, 2016): 191. http://dx.doi.org/10.15866/iremos.v9i3.8703.

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49

Medina-Bailon, Cristina, Naveen Kumar, Rakshita Pritam Singh Dhar, Ilina Todorova, Damien Lenoble, Vihar P. Georgiev, and César Pascual García. "Comprehensive Analytical Modelling of an Absolute pH Sensor." Sensors 21, no. 15 (July 30, 2021): 5190. http://dx.doi.org/10.3390/s21155190.

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In this work, we present a comprehensive analytical model and results for an absolute pH sensor. Our work aims to address critical scientific issues such as: (1) the impact of the oxide degradation (sensing interface deterioration) on the sensor’s performance and (2) how to achieve a measurement of the absolute ion activity. The methods described here are based on analytical equations which we have derived and implemented in MATLAB code to execute the numerical experiments. The main results of our work show that the depletion width of the sensors is strongly influenced by the pH and the variations of the same depletion width as a function of the pH is significantly smaller for hafnium dioxide in comparison to silicon dioxide. We propose a method to determine the absolute pH using a dual capacitance system, which can be mapped to unequivocally determine the acidity. We compare the impact of degradation in two materials: SiO2 and HfO2, and we illustrate the acidity determination with the functioning of a dual device with SiO2.
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50

Doudoumis, Ioannis N. "Analytical Modelling of Traditional Composite Timber-Masonry Walls." Advanced Materials Research 133-134 (October 2010): 441–46. http://dx.doi.org/10.4028/www.scientific.net/amr.133-134.441.

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Composite timber-masonry walls have been used in many old traditional and preservable buildings that constitute a significant part of the world cultural heritage. In this structural system the walls are composed by a timber substructure that is filled by masonry with (or without) mortar. The response of these walls to any static or dynamic loading, even of small intensity, is generally non-linear, mainly due to the complex interaction between the timber and masonry components. It is obvious that the analysis, design, strengthening and retrofitting of these composite structures demand a quite complex, reliable and effective structural model that can take into consideration all the above mentioned construction details and sources of non-linear behaviour. In the present study such a precise analytical micromodel for this structural system is further developed and demonstrated with application examples.
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