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Journal articles on the topic 'Finite Element Element Method'

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Published: 6 September 2023

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1

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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2

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

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3

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 (September 5, 2012): 739–45. http://dx.doi.org/10.3233/jae-2012-1537.

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4

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

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5

Panzeca, T., F. Cucco, and S. Terravecchia. "Symmetric boundary element method versus finite element method." Computer Methods in Applied Mechanics and Engineering 191, no. 31 (May 2002): 3347–67. http://dx.doi.org/10.1016/s0045-7825(02)00239-6.

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6

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 (July 1996): 1309–21. http://dx.doi.org/10.1080/09500349608232806.

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7

В. В. Борисов and В. В. Сухов. "The method of synthesis of finite-element model of strengthened fuselage frames." MECHANICS OF GYROSCOPIC SYSTEMS, no. 26 (December 23, 2013): 80–90. http://dx.doi.org/10.20535/0203-377126201330677.

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One of the main problems, which solved during the design of transport category aircraft, is problem of analysis of the stress distribution in the strengthened fuselage frames structure. Existing integral methods of stress analysis does not allow for the mutual influence of the deformation of a large number of elements. The most effective method of solving the problem of analysis of deformations influence on the stress distribution of structure is finite element method, which is a universal method for analyzing stress distribution arbitrary constructions.This article describes the features of the finite element model synthesis of the strengthened fuselage frames structure of the aircraft fuselage transport category. It is shown that the finite element model of strengthened frames can be synthesized by attaching additional finite element models of the reinforcing elements to the base finite element model which is built by algorithm which is developed for normal frame. For each reinforcing element developed a separate class of finite element model synthesis algorithm. The method of synthesis of finite element model of strengthened frame, which are described in this article, developed for object-oriented information technology implemented in an object-oriented data management system "SPACE".Finite-element models of the reinforcing elements are included in the finite element model of the fuselage box after the formation of a regular finite element model of the fuselage box. As the source data for the synthesis of finite element models of the reinforcing elements used the coordinates of the boundary sections nodes of existing finite element models of conventional frames.Reinforcing elements belong to the group of irregular structural elements that connect regular elements of the cross set with different elements that are not intended for the perception and transmission of loads. The only exceptions are the vertical amplification increasing the stiffness of frames in a direction parallel to the axis OY.Source data input for the synthesis of finite element models of the reinforcing elements can occur only through the individual user interfaces that supported by objects of the corresponding classes. Structure of user interfaces depends on the number and type of additional data that required for the synthesis of finite element models of the reinforcing elements. For example, for the synthesis of structures of finite element models of horizontal beams that support the floor of cargo cabin, you must specify the distance between the upper surface of the beam and the horizontal axis of the fuselage, as well as the height of the beam section. For the synthesis of the structure of the finite element model of vertical reinforcing element is enough to specify the distance between the its inner belt and the a vertical axis of symmetry of the fuselage.And in both cases you must to specify a reference to the basic finite element model, by selecting from a list of frame designations. List of frames, as well as links to objects containing the appropriate finite-element models, must be transmitted from an object which references to the level of decomposition, in which the general model of the fuselage box is created.Finite-element models of the reinforcing elements include two groups of nodes. The first group is taken from an array of nodes, which is transmitted from the base finite element model. The second group is formed by the synthesis algorithm of finite element model of the selected class reinforcing element. Therefore, the synthesis of finite element models of the reinforcing elements starts with the formation of their local model versions. On the basis of these models are formed temporary copies, which are transmitted to the general finite element model of the box. This should be considered when developing of data conversion algorithm of data copying from a local finite element model to the temporary copy.Based on this analysis, we can conclude that this method improves the quality of the design of the aircraft fuselage, increasing the amount of structure variant number and reduce the likelihood of errors.
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8

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 (July 30, 2016): 192–95. http://dx.doi.org/10.9756/bijmmi.8181.

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9

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 finite element (FE) around a specified axis at a given angle, and an MgFE domain of the second type is obtained by the parallel displacement of a generating FE in a specified direction at a given distance. This method allows designing MgFE with one characteristic dimension significantly larger (smaller) than the other two. The MgFE of the first type are applied to calculate composite shells of revolution and complex-shaped rings, and the MgFE of the second type are used to calculate composite cylindrical shells, complex-shaped plates and beams. The proposed MgFE are advantageous because they account for the inhomogeneous structure and complex shape of bodies and generate low-dimension discrete models and solutions with a small error.
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10

BARBOSA, R., and J. GHABOUSSI. "DISCRETE FINITE ELEMENT METHOD." Engineering Computations 9, no. 2 (February 1992): 253–66. http://dx.doi.org/10.1108/eb023864.

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11

Desai,, CS, T. Kundu,, and Xiaoyan Lei,. "Introductory Finite Element Method." Applied Mechanics Reviews 55, no. 1 (January 1, 2002): B2. http://dx.doi.org/10.1115/1.1445303.

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12

Kai-yuan, Yeh, and Ji Zhen-yi. "Exact finite element method." Applied Mathematics and Mechanics 11, no. 11 (November 1990): 1001–11. http://dx.doi.org/10.1007/bf02015684.

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13

Zhang, Lucy, Axel Gerstenberger, Xiaodong Wang, and Wing Kam Liu. "Immersed finite element method." Computer Methods in Applied Mechanics and Engineering 193, no. 21-22 (May 2004): 2051–67. http://dx.doi.org/10.1016/j.cma.2003.12.044.

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14

Fries, Thomas-Peter, Andreas Zilian, and Nicolas Moës. "Extended Finite Element Method." International Journal for Numerical Methods in Engineering 86, no. 4-5 (March 10, 2011): 403. http://dx.doi.org/10.1002/nme.3191.

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15

Li, Zhiping, and M. B. Reed. "Convergence analysis for an element-by-element finite element method." Computer Methods in Applied Mechanics and Engineering 123, no. 1-4 (June 1995): 33–42. http://dx.doi.org/10.1016/0045-7825(94)00759-g.

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16

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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17

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

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18

Warsa, James S. "A Continuous Finite Element-Based, Discontinuous Finite Element Method forSNTransport." Nuclear Science and Engineering 160, no. 3 (November 2008): 385–400. http://dx.doi.org/10.13182/nse160-385tn.

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19

Xu, Shu Feng, Huai Fa Ma, and Yong Fa Zhou. "Moving Grid Method for Simulating Crack Propagation." Applied Mechanics and Materials 405-408 (September 2013): 3173–77. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.3173.

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A moving grid nonlinear finite element method was used in this study to simulate crack propagation. The relevant elements were split along the direction of principal stress within the element and thus automatic optimization processing of local mesh was realized. We discussed the moving grid nonlinear finite element algorithm was proposed, compiled the corresponding script files based on the dedicated finite element language of Finite Element Program Generator (FEPG), and generate finite element source code programs according to the script files. Analyses show that the proposed moving grid finite element method is effective and feasible in crack propagation simulation.
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20

Cen, Song, Ming-Jue Zhou, and Yan Shang. "Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods." Mathematical Problems in Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/491626.

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Performances of the conventional finite elements are closely related to the mesh quality. Once distorted elements are used, the accuracy of the numerical results may be very poor, or even the calculations have to stop due to various numerical problems. Recently, the author and his colleagues developed two kinds of finite element methods, named hybrid stress-function (HSF) and improved unsymmetric methods, respectively. The resulting plane element models possess excellent precision in both regular and severely distorted meshes and even perform very well under the situations in which other elements cannot work. So, they are calledshape-freefinite elements since their performances are independent to element shapes. These methods may open new ways for developing novel high-performance finite elements. Here, the thoughts, theories, and formulae of aboveshape-freefinite element methods were introduced, and the possibilities and difficulties for further developments were also discussed.
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21

XING, YUFENG, BO LIU, and GUANG LIU. "A DIFFERENTIAL QUADRATURE FINITE ELEMENT METHOD." International Journal of Applied Mechanics 02, no. 01 (March 2010): 207–27. http://dx.doi.org/10.1142/s1758825110000470.

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This paper studies the differential quadrature finite element method (DQFEM) systematically, as a combination of differential quadrature method (DQM) and standard finite element method (FEM), and formulates one- to three-dimensional (1-D to 3-D) element matrices of DQFEM. It is shown that the mass matrices of C 0 finite element in DQFEM are diagonal, which can reduce the computational cost for dynamic problems. The Lagrange polynomials are used as the trial functions for both C 0 and C 1 differential quadrature finite elements (DQFE) with regular and/or irregular shapes, this unifies the selection of trial functions of FEM. The DQFE matrices are simply computed by algebraic operations of the given weighting coefficient matrices of the differential quadrature (DQ) rules and Gauss-Lobatto quadrature rules, which greatly simplifies the constructions of higher order finite elements. The inter-element compatibility requirements for problems with C 1 continuity are implemented through modifying the nodal parameters using DQ rules. The reformulated DQ rules for curvilinear quadrilateral domain and its implementation are also presented due to the requirements of application. Numerical comparison studies of 2-D and 3-D static and dynamic problems demonstrate the high accuracy and rapid convergence of the DQFEM.
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22

Belytschko, T., D. Organ, and Y. Krongauz. "A coupled finite element-element-free Galerkin method." Computational Mechanics 17, no. 3 (1995): 186–95. http://dx.doi.org/10.1007/bf00364080.

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23

Belytschko, T., H. S. Chang, and Y. Y. Lu. "A variationally coupled finite element-boundary element method." Computers & Structures 33, no. 1 (January 1989): 17–20. http://dx.doi.org/10.1016/0045-7949(89)90124-7.

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24

Belytschko, T., D. Organ, and Y. Krongauz. "A coupled finite element?element-free Galerkin method." Computational Mechanics 17, no. 3 (December 1, 1995): 186–95. http://dx.doi.org/10.1007/s004660050102.

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25

Bai, Run Bo, Fu Sheng Liu, and Zong Mei Xu. "Element Selection and Meshing in Finite Element Contact Analysis." Advanced Materials Research 152-153 (October 2010): 279–83. http://dx.doi.org/10.4028/www.scientific.net/amr.152-153.279.

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Contact problem, which exists widely in mechanical engineering, civil engineering, manufacturing engineering, etc., is an extremely complicated nonlinear problem. It is usually solved by the finite element method. Unlike with the traditional finite element method, it is necessary to set up contact elements for the contact analysis. In the different types of contact elements, the Goodman joint elements, which cover the surface of contacted bodies with zero thickness, are widely used. However, there are some debates on the characteristics of the attached elements of the Goodman joint elements. For that this paper studies the type, matching, and meshing of the attached elements. The results from this paper would be helpful for the finite element contact analysis.
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26

LEHMANN, L., S. LANGER, and D. CLASEN. "SCALED BOUNDARY FINITE ELEMENT METHOD FOR ACOUSTICS." Journal of Computational Acoustics 14, no. 04 (December 2006): 489–506. http://dx.doi.org/10.1142/s0218396x06003141.

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When studying unbounded wave propagation phenomena, the Sommerfeld radiation condition has to be fulfilled. The artificial boundary of a domain discretized using standard finite elements produces errors. It reflects spurious energy back into the domain. The scaled boundary finite element method (SBFEM) overcomes this problem. It unites the concept of geometric similarity with the standard approach of finite elements assembly. Here, the SBFEM for acoustical problems and its coupling with the finite element method for an elastic structure is presented. The achieved numerical algorithm is best suited to study the sound propagation in an unbounded domain or interaction phenomena of a vibrating structure and an unbounded acoustical domain. The SBFEM is applied to study the sound transmission through a separating component, and for the determination of the sound field around a sound insulating wall. The results are compared with a hybrid algorithm of Finite and Boundary Elements or with the Boundary Element Method, respectively.
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27

Kisała, Piotr, Waldemar Wójcik, Nurzhigit Smailov, Aliya Kalizhanova, and Damian Harasim. "Elongation determination using finite element and boundary element method." International Journal of Electronics and Telecommunications 61, no. 4 (December 1, 2015): 389–94. http://dx.doi.org/10.2478/eletel-2015-0051.

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AbstractThis paper presents an application of the finite element method and boundary element method to determine the distribution of the elongation. Computer simulations were performed using the computation of numerical algorithms according to a mathematical structure of the model and taking into account the values of all other elements of the fiber Bragg grating (FBG) sensor. Experimental studies were confirmed by elongation measurement system using one uniform FBG.
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28

Fan, S. C., S. M. Li, and G. Y. Yu. "Dynamic Fluid-Structure Interaction Analysis Using Boundary Finite Element Method–Finite Element Method." Journal of Applied Mechanics 72, no. 4 (August 20, 2004): 591–98. http://dx.doi.org/10.1115/1.1940664.

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In this paper, the boundary finite element method (BFEM) is applied to dynamic fluid-structure interaction problems. The BFEM is employed to model the infinite fluid medium, while the structure is modeled by the finite element method (FEM). The relationship between the fluid pressure and the fluid velocity corresponding to the scattered wave is derived from the acoustic modeling. The BFEM is suitable for both finite and infinite domains, and it has advantages over other numerical methods. The resulting system of equations is symmetric and has no singularity problems. Two numerical examples are presented to validate the accuracy and efficiency of BFEM-FEM coupling for fluid-structure interaction problems.
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29

Цуканова, Екатерина, and Ekaterina Tsukanova. "Analysis of forced vibrations of frameworks by finite element method using dynamic finite element." Bulletin of Bryansk state technical university 2015, no. 2 (June 30, 2015): 93–103. http://dx.doi.org/10.12737/22911.

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The analysis of forced vibrations of frameworks using finite element method is considered. The dynamic finite element, the base functions of which represent exact dynamic shapes of structural elements, is used for system discretization. The assessment of errors as a result of classic FEM application is given. The efficiency of application of dynamic finite element for analysis of forced vibrations and dynamic stress-deformed state of structures is shown.
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30

Tenek, L. T. "A Beam Finite Element Based on the Explicit Finite Element Method." International Review of Civil Engineering (IRECE) 6, no. 5 (September 30, 2015): 124. http://dx.doi.org/10.15866/irece.v6i5.7977.

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31

Zimmermann, Thomas. "The finite element method. Linear static and dynamic finite element analysis." Computer Methods in Applied Mechanics and Engineering 65, no. 2 (November 1987): 191. http://dx.doi.org/10.1016/0045-7825(87)90013-2.

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32

Su, Li Jun, Hong Jian Liao, Shan Yong Wang, and Wen Bing Wei. "Study of Interface Problems Using Finite Element Method." Key Engineering Materials 353-358 (September 2007): 953–56. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.953.

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In numerical simulation of engineering problems, it is important to properly simulate the interface between two adjacent parts of the model. In finite element method, there are generally three methods for simulating interface problems: interface element method, surface based contact method and the method by using a thin layer of continuum elements. In this paper, simulation of interface problems is conducted using continuum elements and surface based contact methods. The results from each method are presented and compared with each other.
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33

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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34

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

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35

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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36

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 (May 1999): 1384–86. http://dx.doi.org/10.1109/20.767221.

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37

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

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38

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

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39

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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40

Heo, Ji-Hye, and Han-Soo Kim. "Bending Moment Calculation Method and Optimum Element Size for Finite Element Analysis with Continuum Elements." Journal of the Computational Structural Engineering Institute of Korea 31, no. 1 (February 28, 2018): 9–16. http://dx.doi.org/10.7734/coseik.2018.31.1.9.

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41

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 (May 15, 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. The method of Kane’s equations is one possibility to do this and, in the paper, we applied this method in the study of a MBS applying finite element analysis (FEA). The number of operations involved is lower than in the case of Lagrange’s equations and Kane’s equations are little used previously in conjunction with the finite element method (FEM). Results are obtained regardless of the type of finite element used. The shape functions will determine the final form of the matrix coefficients in the equations. The results are applied in the case of a planar mechanism with two degrees of freedom.
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42

Kochnev, Valentin K. "Finite element method for atoms." Chemical Physics 548 (August 2021): 111197. http://dx.doi.org/10.1016/j.chemphys.2021.111197.

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43

Gao, Yu Jing, De Hua Wang, and Gui Ping Shi. "Meshless-Finite Element Coupling Method." Applied Mechanics and Materials 441 (December 2013): 754–57. http://dx.doi.org/10.4028/www.scientific.net/amm.441.754.

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We let the meshless method and the finite element method couple,so the meshless-finite element coupling method has the advantage. We based EFG - finite element coupling calculation principle and we drawn shape function of the coupling region, we obtained energy functional from weak variational equations and we find the numerical solution. EFGM-FE coupling method overcomes the simple use of meshless method to bring the boundary conditions and calculation intractable shortcomings of low efficiency. We found that this method is feasible and effective.
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44

Ma, Shuo, Muhao Chen, and Robert E. Skelton. "TsgFEM: Tensegrity Finite Element Method." Journal of Open Source Software 7, no. 75 (July 4, 2022): 3390. http://dx.doi.org/10.21105/joss.03390.

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45

Raj, Jeenu, Faisal Tajir, and M. S. Kannan. "Finite Element Method in Orthodontics." Indian Journal of Public Health Research & Development 10, no. 12 (December 1, 2019): 1080. http://dx.doi.org/10.37506/v10/i12/2019/ijphrd/192274.

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46

Wolf,, JP, and Long-Yuan Li,. "Scaled Boundary Finite Element Method." Applied Mechanics Reviews 57, no. 3 (May 1, 2004): B14. http://dx.doi.org/10.1115/1.1760518.

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47

Rank, E., and R. Krause. "A multiscale finite-element method." Computers & Structures 64, no. 1-4 (July 1997): 139–44. http://dx.doi.org/10.1016/s0045-7949(96)00149-6.

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48

Nguyen, T. T., G. R. Liu, K. Y. Dai, and K. Y. Lam. "Selective smoothed finite element method." Tsinghua Science and Technology 12, no. 5 (October 2007): 497–508. http://dx.doi.org/10.1016/s1007-0214(07)70125-6.

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49

Logg, Anders. "Automating the Finite Element Method." Archives of Computational Methods in Engineering 14, no. 2 (May 15, 2007): 93–138. http://dx.doi.org/10.1007/s11831-007-9003-9.

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50

Tolle, Kevin, and Nicole Marheineke. "Extended group finite element method." Applied Numerical Mathematics 162 (April 2021): 1–19. http://dx.doi.org/10.1016/j.apnum.2020.12.008.

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