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Статті в журналах з теми "Finites elements method"

Автор: Grafiati

Опубліковано: 9 листопада 2023

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1

Lugo Jiménez, Abdul Abner, Guelvis Enrique Mata Díaz, and Bladismir Ruiz. "A comparative analysis of methods: mimetics, finite differences and finite elements for 1-dimensional stationary problems." Selecciones Matemáticas 8, no. 1 (2021): 1–11. http://dx.doi.org/10.17268/sel.mat.2021.01.01.

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Numerical methods are useful for solving differential equations that model physical problems, for example, heat transfer, fluid dynamics, wave propagation, among others; especially when these cannot be solved by means of exact analysis techniques, since such problems present complex geometries, boundary or initial conditions, or involve non-linear differential equations. Currently, the number of problems that are modeled with partial differential equations are diverse and these must be addressed numerically, so that the results obtained are more in line with reality. In this work, a comparison

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2

Barros, M. L. C., A. G. Batista, M. J. S. Sena, A. L. Amarante Mesquita, and C. J. C. Blanco. "Application of a shallow water model to analyze environmental effects in the Amazon Estuary Region: a case study of the Guajará Bay (Pará – Brazil)." Water Practice and Technology 10, no. 4 (2015): 846–59. http://dx.doi.org/10.2166/wpt.2015.104.

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This study used hydrodynamic modeling to investigate the hydrodynamic circulation and pollutant transport of the Guajará Bay-PA. The hydrodynamic modeling was performed using the classical Saint-Venant model for shallow waters. The pollutant dispersion was described using a Lagrangian deterministic model that simulates advective–diffusive transport with kinetic reactions for two-dimensional flow. The finites elements method was used to solve the Saint-Venant and transport equations. The bathymetry data were obtained by combining the data from nautical charts provided by the Directorate of Hydr

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3

Bradji, Abdallah, and Jürgen Fuhrmann. "Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method." Mathematica Bohemica 139, no. 2 (2014): 125–36. http://dx.doi.org/10.21136/mb.2014.143843.

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4

Kulkarni, Sachin M., and Dr K. G. Vishwananth. "Analysis for FRP Composite Beams Using Finite Element Method." Bonfring International Journal of Man Machine Interface 4, Special Issue (2016): 192–95. http://dx.doi.org/10.9756/bijmmi.8181.

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5

Ito, Yasuhisa, Hajime Igarashi, Kota Watanabe, Yosuke Iijima, and Kenji Kawano. "Non-conforming finite element method with tetrahedral elements." International Journal of Applied Electromagnetics and Mechanics 39, no. 1-4 (2012): 739–45. http://dx.doi.org/10.3233/jae-2012-1537.

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6

Yamada, T., and K. Tani. "Finite element time domain method using hexahedral elements." IEEE Transactions on Magnetics 33, no. 2 (1997): 1476–79. http://dx.doi.org/10.1109/20.582539.

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7

Romero, J. L., and Miguel A. Ortega. "Splines generalizados y solución nodal exacta en el método de elementos finites." Informes de la Construcción 51, no. 464 (1999): 41–85. http://dx.doi.org/10.3989/ic.1999.v51.i464.872.

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8

Burman, Erik, and Peter Hansbo. "Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method." Applied Numerical Mathematics 62, no. 4 (2012): 328–41. http://dx.doi.org/10.1016/j.apnum.2011.01.008.

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9

Mikhaylovskiy, Denis, and Dmytro Matyuschenko. "Numerical researches of DGRP-type experimental frames using the finite elements method." Odes’kyi Politechnichnyi Universytet. Pratsi, no. 2 (August 20, 2016): 11–15. http://dx.doi.org/10.15276/opu.2.49.2016.04.

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10

Matveev, Aleksandr. "Generating finite element method in constructing complex-shaped multigrid finite elements." EPJ Web of Conferences 221 (2019): 01029. http://dx.doi.org/10.1051/epjconf/201922101029.

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The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models. The dimension of discrete models can be effectively reduced by means of multigrid finite elements (MgFE). This paper proposes a generating finite element method for constructing two types of three-dimensional complex-shaped composite MgFE, which can be briefly described as follows. An MgFE domain of the first type is obtained by rotating a specified complex-shaped plane generating single-grid fin

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11

Noguchi, Tetsuo, and Tsutomu Ezumi. "OS01W0062 A study about the elliptic inclusion by optical method and finite element method." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _OS01W0062. http://dx.doi.org/10.1299/jsmeatem.2003.2._os01w0062.

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12

Ben Belgacem, F., and Y. Maday. "The mortar element method for three dimensional finite elements." ESAIM: Mathematical Modelling and Numerical Analysis 31, no. 2 (1997): 289–302. http://dx.doi.org/10.1051/m2an/1997310202891.

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13

Anand, Akash, Jeffrey S. Ovall, and Steffen Weißer. "A Nyström-based finite element method on polygonal elements." Computers & Mathematics with Applications 75, no. 11 (2018): 3971–86. http://dx.doi.org/10.1016/j.camwa.2018.03.007.

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14

Kukiełka, Leon, and Krzysztof Kukiełka. "Modelling and analysis of the technological processes using finite element method." Mechanik, no. 3 (March 2015): 195/317–195/340. http://dx.doi.org/10.17814/mechanik.2015.3.149.

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15

Onate, Eugenio, Sergio R. Idelsohn, Riccardo Rossi, Julio Marti, and Miguel A. Celigueta. "ADVANCES IN THE PARTICLE FINITE ELEMENT METHOD (PFEM) IN COMPUTATIONAL MECHANICS." Proceedings of The Computational Mechanics Conference 2010.23 (2010): _—1_—_—4_. http://dx.doi.org/10.1299/jsmecmd.2010.23._-1_.

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16

Burman, Erik, and Peter Hansbo. "Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method." Computer Methods in Applied Mechanics and Engineering 199, no. 41-44 (2010): 2680–86. http://dx.doi.org/10.1016/j.cma.2010.05.011.

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17

Duan, Huo-Yuan, and Guo-Ping Liang. "Nonconforming elements in least-squares mixed finite element methods." Mathematics of Computation 73, no. 245 (2003): 1–18. http://dx.doi.org/10.1090/s0025-5718-03-01520-5.

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18

Hano, Mitsuo, Keisuke Iwasaki, Ryuki Furuta, and Masashi Hotta. "Spurious-free Intelligent Elements for Two-dimensional Finite Element Method." IEEJ Transactions on Power and Energy 137, no. 3 (2017): 186–94. http://dx.doi.org/10.1541/ieejpes.137.186.

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19

Hansbo, Peter. "A free-Lagrange finite element method using space-time elements." Computer Methods in Applied Mechanics and Engineering 188, no. 1-3 (2000): 347–61. http://dx.doi.org/10.1016/s0045-7825(99)00157-7.

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20

Nayroles, B., G. Touzot, and P. Villon. "Generalizing the finite element method: Diffuse approximation and diffuse elements." Computational Mechanics 10, no. 5 (1992): 307–18. http://dx.doi.org/10.1007/bf00364252.

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21

Tani, K., T. Nishio, T. Yamada, and Y. Kawase. "Transient finite element method using edge elements for moving conductor." IEEE Transactions on Magnetics 35, no. 3 (1999): 1384–86. http://dx.doi.org/10.1109/20.767221.

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22

Kawase, Y., T. Yamada, and K. Tani. "Error estimation for transient finite element method using edge elements." IEEE Transactions on Magnetics 36, no. 4 (2000): 1488–91. http://dx.doi.org/10.1109/20.877719.

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23

Feliziani, M., and E. Maradei. "Point matched finite element-time domain method using vector elements." IEEE Transactions on Magnetics 30, no. 5 (1994): 3184–87. http://dx.doi.org/10.1109/20.312614.

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24

Rashid, M. M., and M. Selimotic. "A three-dimensional finite element method with arbitrary polyhedral elements." International Journal for Numerical Methods in Engineering 67, no. 2 (2006): 226–52. http://dx.doi.org/10.1002/nme.1625.

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25

Hlaváček, Ivan. "Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method." Applications of Mathematics 35, no. 3 (1990): 225–36. http://dx.doi.org/10.21136/am.1990.104407.

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26

Brandts, Jan, and Rob Stevenson. "A stable and optimal complexity solution method for mixed finite element discretizations." Mathematica Bohemica 127, no. 2 (2002): 153–61. http://dx.doi.org/10.21136/mb.2002.134167.

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27

Ziada, Mahmoud, Sertaç Tuhta, and Eren Hayati Gençbay Furkan Günday Yosra Tammam. "Analysis of Tunnel Form Building Retrofitted with CFRP using Finite Element Method." International Journal of Trend in Scientific Research and Development Volume-3, Issue-2 (2019): 822–26. http://dx.doi.org/10.31142/ijtsrd21505.

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28

Kuwazuru, Osamu, Jariyaporn Saothong, and Nobuhiro Yoshikawa. "WRINKLE ANALYSIS OF AGING SKIN BY FINITE ELEMENT METHOD(1E1 Computational Biomechanics)." Proceedings of the Asian Pacific Conference on Biomechanics : emerging science and technology in biomechanics 2007.3 (2007): S77. http://dx.doi.org/10.1299/jsmeapbio.2007.3.s77.

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29

Mirotznik, Mark S., Dennis W. Pratherf, and Joseph N. Mait. "A hybrid finite element-boundary element method for the analysis of diffractive elements." Journal of Modern Optics 43, no. 7 (1996): 1309–21. http://dx.doi.org/10.1080/09500349608232806.

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30

Vlase, Sorin, Iuliu Negrean, Marin Marin, and Silviu Năstac. "Kane’s Method-Based Simulation and Modeling Robots with Elastic Elements, Using Finite Element Method." Mathematics 8, no. 5 (2020): 805. http://dx.doi.org/10.3390/math8050805.

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The Lagrange’s equation remains the most used method by researchers to determine the finite element motion equations in the case of elasto-dynamic analysis of a multibody system (MBS). However, applying this method requires the calculation of the kinetic energy of an element and then a series of differentiations that involve a great computational effort. The last decade has shown an increased interest of researchers in the study of multibody systems (MBS) using alternative analytical methods, aiming to simplify the description of the model and the solution of the systems of obtained equations.

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31

Matwiej, Łukasz, Marek Wieruszewski, Krzysztof Wiaderek, and Bartosz Pałubicki. "Elements of Designing Upholstered Furniture Sandwich Frames Using Finite Element Method." Materials 15, no. 17 (2022): 6084. http://dx.doi.org/10.3390/ma15176084.

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This paper presents an approach to the design of an upholstered furniture frame using the finite element method and empirical studies. Three-dimensional discrete models of upholstered furniture frames were developed taking into account orthotropic properties of solid pine wood (Pinus sylvestris L.) without and with details strengthening their structure in the form of glue joints and upholstery staples. Using the CAE Autodesk Inventor Nastran finite element method, linear static analyses were performed by simulating normative loading. The finite element method was performed considering the expe

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32

R. C. Reis, Renata, Marcio L. M. Kimpara, João Onofre Pereira Pinto, and Babak Fahimi. "MULTI-PHYSICS SIMULATION OF 6/4 SWITCHED RELUCTANCE MOTOR BY FINITE ELEMENT METHOD." Eletrônica de Potência 26, no. 1 (2021): 8–18. http://dx.doi.org/10.18618/rep.2021.1.0004.

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33

Hlaváček, Ivan. "Optimization of the domain in elliptic problems by the dual finite element method." Applications of Mathematics 30, no. 1 (1985): 50–72. http://dx.doi.org/10.21136/am.1985.104126.

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34

Hlaváček, Ivan, and Michal Křížek. "Internal finite element approximation in the dual variational method for the biharmonic problem." Applications of Mathematics 30, no. 4 (1985): 255–73. http://dx.doi.org/10.21136/am.1985.104149.

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35

Hlaváček, Ivan. "A mixed finite element method for plate bending with a unilateral inner obstacle." Applications of Mathematics 39, no. 1 (1994): 25–44. http://dx.doi.org/10.21136/am.1994.134241.

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36

CRUZ GUAYACUNDO, WILMER, and DANIEL PEÑARETE. "NÁLISIS DE LA PRESIÓN FACIAL GENERADA POR LAS MASCARILLAS DE USO COTIDIANO UTILIZANDO EL MÉTODO DE ELEMENTOS FINITOS." Revista Ingeniería, Matemáticas y Ciencias de la Información 9, no. 17 (2022): 13–20. http://dx.doi.org/10.21017/rimci.2022.v9.n17.a107.

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In the present work, a model based on the finite element method is formulated, with the purpose of measuring the facial pressure generated by everyday masks. The analysis includes the computational determination of the contact pressure generated by the mask on two head shapes that contemplate the anthropometric dimensions of the Colombian population between 20 and 59 years old, one represents the male sex and the other the female sex. The head model is divided into five parts (two cheeks, the forehead, the chin, and the back of the head), some of them contemplate layers of skin, muscle, fat ti

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37

D.M.Garasiya, D. M. Garasiya, K. K. Bhabhor K. K. Bhabhor, and A. B. Damor A. B. Damor. "Spectrum/Seismic Analysis of High Voltage 145Kv Circuit Breaker Using Finite Element Method." International Journal of Scientific Research 2, no. 6 (2012): 253–55. http://dx.doi.org/10.15373/22778179/june2013/81.

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38

Adnyani, Luh Putri, Muhammad Abid Mapariorio Arsyad, and Samsu Dlukha Nurcholik. "Analysis of Fatigue Life of Tugboat Towing Hook Construction Using Finite Element Method." Kapal: Jurnal Ilmu Pengetahuan dan Teknologi Kelautan 17, no. 2 (2020): 86–94. http://dx.doi.org/10.14710/kapal.v17i2.29587.

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The towing hook on the tugboat has a function to pull the barge. Because of this ability, a good towing hook construction is needed to work optimally. Indications for the good construction is the value of fatigue life, which is more than the value of design life of 20 years. A towing hook detail on tugboat from PT. Asia Aditama Shipyard – Balikpapan was selected as an example. This study aims to obtain the value of fatigue life based on the total resistance calculated by BHP data in full, 75%, and 50% of the total displacement volume and estimate the maximum size of a barge, based on maximal t

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39

GUIDI, E. S., F. A. SILVA, C. CAVAGIONI, and C. A. CHAVES. "CONCENTRAÇÃO DE TENSÕES EM PEÇAS E COMPONENTES ESTRUTURAIS ATRAVÉS DO MÉTODO DOS ELEMENTOS FINITOS." Revista Sodebras 12, no. 134 (2017): 157–62. http://dx.doi.org/10.29367/issn.1809-3957.2017.02.134.157.

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40

P. Tamayo, Jorge L., Armando M. Awruch, and Inácio B. Morsch. "DYNAMIC ANALYSIS OF REINFORCED CONCRETE STRUCTURES." Revista Cientifica TECNIA 22, no. 1 (2017): 33. http://dx.doi.org/10.21754/tecnia.v22i1.88.

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ABSTRACTThe objective of this work is to provide a reliable numerical model using the finite element method (FEM) for the dynamic analysis of reinforced concrete (RC) structures. For this purpose, a computer program based on a strain-rate sensitive elasto-plastic theory is developed using 3D brick finite elements. The implicit Newmark scheme with predictor and corrector phases is used for time integration of the nonlinear system of equations. In addition, the steel reinforcement is considered to be smeared and perfectly adhered to concrete and represented by membrane finite elements. Two bench

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41

Prabhune, Bhagyashree, Saketh Sridhara, and Krishnan Suresh. "Tangled finite element method for handling concave elements in quadrilateral meshes." International Journal for Numerical Methods in Engineering 123, no. 7 (2022): 1576–605. http://dx.doi.org/10.1002/nme.6907.

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42

Nagappan, Kumar, and Ganesh Raja. "Evaluation of Linear and Nonlinear Gap Elements Using Finite Element Method." SAE International Journal of Aerospace 2, no. 1 (2009): 159–64. http://dx.doi.org/10.4271/2009-01-3181.

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43

Kaveh, A., M. S. Massoudi, and M. J. Massoudi. "Efficient finite element analysis using graph-theoretical force method; hexahedron elements." Computers & Structures 128 (November 2013): 175–88. http://dx.doi.org/10.1016/j.compstruc.2013.07.002.

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44

Reitzinger, S., and J. Schöberl. "An algebraic multigrid method for finite element discretizations with edge elements." Numerical Linear Algebra with Applications 9, no. 3 (2002): 223–38. http://dx.doi.org/10.1002/nla.271.

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45

Zhen-dong, Luo. "Mixed finite element method of hexahedral elements for Navier-Stokes problem." Applied Mathematics and Mechanics 13, no. 12 (1992): 1107–14. http://dx.doi.org/10.1007/bf02456150.

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46

Warren, Gregory S., and Waymond R. Scott. "Numerical dispersion in the finite-element method using triangular edge elements." Microwave and Optical Technology Letters 9, no. 6 (1995): 315–19. http://dx.doi.org/10.1002/mop.4650090606.

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47

Gang, Zhu, Shen Mengyu, Liu Qiusheng, and Wang Baoguo. "Tensor Universal Serendipity Elements and unsteady Taylor-Galerkin finite element method." Acta Mechanica Sinica 12, no. 1 (1996): 15–23. http://dx.doi.org/10.1007/bf02486758.

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48

Liu, Fushen, and Ronaldo I. Borja. "Stabilized low-order finite elements for frictional contact with the extended finite element method." Computer Methods in Applied Mechanics and Engineering 199, no. 37-40 (2010): 2456–71. http://dx.doi.org/10.1016/j.cma.2010.03.030.

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49

ICHIHASHI, Hidetomo, and Hitoshi FURUTA. "Finite Element Method." Journal of Japan Society for Fuzzy Theory and Systems 6, no. 2 (1994): 246–49. http://dx.doi.org/10.3156/jfuzzy.6.2_246.

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50

Oden, J. "Finite element method." Scholarpedia 5, no. 5 (2010): 9836. http://dx.doi.org/10.4249/scholarpedia.9836.

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