Introduction to Finite Elements in Engineering

Chandrupatla, Tirupathi R.; Belegundu, Ashok D.

doi:10.1017/9781108882293

Cited by 42 publications

(47 citation statements)

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“…The finite element method is adopted for stress analysis. The basic principle of finite element method for solving the structural stress is to use Galerkin method to process the governing equations (equilibrium differential equations, strain geometric relations and constitutive relations) of the elastomer, so as to transform the solution of differential problems in geometric domain into the solution of integral problems, which is essentially the weighted residual method [4].…”

Section: Theoretical Analysis Of Structural Strengthmentioning

confidence: 99%

Preliminary Structural Design and Analysis of the Horizontal Cold Box for CFETR 25 kW@4.5 K Helium Refrigerator

Zhang

Zhang²,

Zhu³

et al. 2022

IOP Conf. Ser.: Mater. Sci. Eng.

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The China Fusion Engineering Test Reactor cryogenic system mainly provides necessary supercritical helium for cooling superconducting coils and structure to transfer the static thermal load and the dynamic thermal load generated during plasma operation mode. According to the conceptual design of CFETR cryogenic system, the cooling capacity at 4.5 K is about 125 kW, with five 25 kW@4.5 K helium refrigerators in parallel. As one of the main components, a horizontal cold box provides a vacuum and insulating working environment for plate-fin heat exchangers, turbines, adsorbers, control valves and pipes. This paper presents a preliminary structural design for the 25 kW@4.5 K helium refrigerator horizontal cold box. The structural strength and static heat leakage of the cold box including support seats are analyzed through the finite element simulation method. The simulation results further verify the rationality and feasibility of the cold box structure design, and provide a certain reference for the subsequent detailed engineering design.

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Section: Theoretical Analysis Of Structural Strengthmentioning

confidence: 99%

Preliminary Structural Design and Analysis of the Horizontal Cold Box for CFETR 25 kW@4.5 K Helium Refrigerator

Zhang

Zhang²,

Zhu³

et al. 2022

IOP Conf. Ser.: Mater. Sci. Eng.

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“…The strong formulation for the element stiffnes matrix is shown in Equation (20), while the strong formulation of the forces matrix is shown in Equation (21). The e subfix denotes the elemental matrix.…”

Section: Elemental Stifness and Forces Matricesmentioning

confidence: 99%

“…Most of 3D FE are based on tethraedrons or hexaedrons, generally with 3 DOF each node, whose shape functions are generally linear (2 nodes per edge) or quadratic (3 nodes per edge); this means, for each polinomyal degree, an extra node is needed; with this formulation, the beam's cross section and steel reinforcement can be modeled [17][18][19][20]. For 1D FE, generally the cross section is considered through the geometrical properties within the formulation, and 6 DOF per node for full axial, shear, and bending effects.…”

Section: Introductionmentioning

confidence: 99%

An 8-Nodes 3D Hexahedral Finite Element and an 1D 2-Nodes Structural Element for Timoshenko Beams, Both Based on Hermitian Intepolation, in Linear Range

et al. 2022

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The following article presents the elaboration and results obtained from a 3D finite element, of the 8-node hexahedron type with 6 degrees of freedom (DOF) per node (48 DOF per element) based on third degree Hermitian polynomials, and of a 2-node structural element, with 6 DOF per node (12 DOF per element), based on third degree Hermitian polynomials and the theory of Timoshenko for beams. This article has two purposes; the first one is the formulation of a finite element capable of capturing bending effects, and the second one is to verify whether it is possible to obtain the deformation of the beam’s cross section of a structural member of the beam type, based on the deformations of its axis. The results obtained showed that the 8-node hexahedron FE was able to reproduce satisfactory results by simulating some cases of beams with different contour and load conditions, obtaining errors between 1% and 4% compared to the ANSYS software, educational version. Regarding the structural element of the beam type, it reproduced results that were not as precise as the FE Hexa 8, presenting errors of between 6% and 7% with regard to the axis but with error rounding between 10% and 20%.

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“…The finite element model to be used for in-plane vibration must have a total eight corner displacements, including 𝑢 and 𝑣, at each node, and this finite element model is given in Figure 3. The shape function of in-plate theory is given in equation (13) where 𝜉 𝑗 , 𝜂 𝑗 are the coordinates of node 𝑗 [25,26].…”

Section: In-plane Vibrationmentioning

confidence: 99%

Vibration analysis of a pre-stressed curved thin plate

GONENLI¹,

OZTURK²,

DAS³

2022

Pamukkale J Eng Sci

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In this study, the free vibration analysis of cantilever isotropic thin plate, which is a large deflected, is investigated. The large deflection is obtained by applying an external distributed vertical load on the cantilever plate then fixing from the other end as the deflection is large. The non -linear deflection curve of the largely deflected flexible plate is obtained from the large deflection equation of the beams. The curved thin plate is modeled by using the finite element method considering a four-node quadrilateral flat shell element. The effects of the load parameter on the natural frequency parameters and mode shapes are investigated. The results are given in tables and graphics. In addition, the natural frequency parameters obtained from the present model are compared with those of ANSYS software to verify the reliability and validity of the present model. The load parameter that forms the curved thin plate changes mode shapes of the plate structure.Bu çalışmada, büyük çökmeli izotropik ince plakanın serbest titreşim analizi incelenmiştir. Büyük çökme, tek tarafı sabitlenmiş plakaya harici bir dağıtılmış dikey yük uygulanarak ve ardından diğer uçtan sabitlenerek elde edilir. Bükülmüş esnek levhanın doğrusal olmayan çökme eğrisi, kirişlerin büyük çökme denkleminden elde edilir. Eğri ince levha, dört düğümlü dörtgen yassı kabuk eleman dikkate alınarak sonlu elemanlar yöntemi kullanılarak modellenmiştir. Yük parametresinin doğal frekans parametreleri ve mod şekilleri üzerindeki etkileri incelenmiştir. Sonuçlar, tablolar ve grafikler halinde verilmiştir. Ek olarak, mevcut modelden elde edilen doğal frekans parametreleri, mevcut modelin güvenilirliğini ve geçerliliğini doğrulamak için ANSYS yazılımı ile karşılaştırılır. Eğri ince levhayı oluşturan yük parametresi, levha yapısının mod şekillerini değiştirir.

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Introduction to Finite Elements in Engineering

Cited by 42 publications

References 0 publications

Preliminary Structural Design and Analysis of the Horizontal Cold Box for CFETR 25 kW@4.5 K Helium Refrigerator

Preliminary Structural Design and Analysis of the Horizontal Cold Box for CFETR 25 kW@4.5 K Helium Refrigerator

An 8-Nodes 3D Hexahedral Finite Element and an 1D 2-Nodes Structural Element for Timoshenko Beams, Both Based on Hermitian Intepolation, in Linear Range

Vibration analysis of a pre-stressed curved thin plate

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