Relevant bibliographies by topics / Moment scheme of the finite element

Academic literature on the topic 'Moment scheme of the finite element'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Moment scheme of the finite element"

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Zhao, Wei, Li Bin Zhao, Jian Yu Zhang, and Bang Cheng Han. "Modal Analysis of Magnetic Suspended Control Moment Gyroscope." Applied Mechanics and Materials 50-51 (February 2011): 59–62. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.59.

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3D finite element models of magnetic suspended control moment gyroscope structure are established by general finite element analysis software. Initial modal analysis scheme of the MS-CMG structure, in which the frame and gyro-chamber are analyzed separately, is described. A new modal analysis scheme that the MS-CMG is analyzed as a whole structure is presented. The connection between the gyro-chamber and frame is realized by defining a revolution pairs. The numerical predictions from two modal analysis schemes show obvious difference. The new scheme is more reliable since it simulates the real wok status of MS-CMG.
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Jiang, Wei Guo. "The Finite-Element Simulation for Reinforced Concrete Frames Including the Softening Behaviour." Advanced Materials Research 243-249 (May 2011): 204–8. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.204.

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In performance-based seismic design method, it is very important to have a good command of the nonlinear performance of a structural system, including in the collapse stage. In this paper, a nonlinear finite-element analysis on reinforced concrete moment frames is carried out. After studying the forces and deformations behavior in beam-column elements, the element stiffness matrix of distributed plasticity beam-column element is deduced using the Cotes scheme with 5 integration points. During the occurrence and development of plastic hinges, sections at some integration points will experience loading, unloading and reverse loading and the stiffness of these sections will experience various status. A quadrilinear form moment-curvature relationships with curvature- softening behavior and the hysteretic modes are used in the nonlinear static analysis program. The numerical analysis is carried out and the numerical results validate the load-displacement relationships and the yield mechanism of experiment frames.
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Ju, Shen Haw, and Hsin Hsiang Hsu. "Beam moment and shear force calculations using digital-camera experiments." Advances in Mechanical Engineering 11, no. 6 (June 2019): 168781401986067. http://dx.doi.org/10.1177/1687814019860675.

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This article presents an image-based method to find the beam moment and shear force using the measured beam displacements. A least-squares method is first developed to find the rotations and lateral displacements at beam ends using the measured displacements along the beam. Then, the moments and shear forces of this beam segment are obtained using the matrix formulation including shear deformation and large displacement effects. Two experimental schemes, image symbol dot and image-correlation methods, were used to validate the accuracy of the proposed scheme. The comparison of the results between the finite element analysis and the two methods shows acceptable accuracy. Although this method is mainly applied to the elastic region, one can still find the moment and shear force at the inelastic region using the equilibrium equation.
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Su, Wen Zheng. "Finite Element Formulation for the Vibration Analysis of Couple-Stress Continuum." Applied Mechanics and Materials 367 (August 2013): 156–60. http://dx.doi.org/10.4028/www.scientific.net/amm.367.156.

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This paper proposed a finite element formulation to analysis the vibration of couple-stress continuum. A four-node discrete couple-stress element relaxed the requirement of C1 continuity is developed. This element is modified by a bubble function, based on the classical four-ode Lagrange element. The element includes the internal bending constants and the internal initial moment of rotation. Numerical examples show that the present FE scheme is accurate for the eigenvalue analysis of couple-stress continuum structures, especially for the low order frequency analysis.
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Sun, Xue Xian, Yong Wang, and Feng Chen. "Design Application in Suspender Tensile Force of Tied-Arch Bridges Based on Inversion Optimization Method." Applied Mechanics and Materials 226-228 (November 2012): 1586–90. http://dx.doi.org/10.4028/www.scientific.net/amm.226-228.1586.

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Taking an actual tied-arch bridge project as the background, this thesis has a system static analysis by building up the finite element analysis model with Midas/civil, a large-scale FEM software, then establishes a mathematical optimization model for the back analysis to suspender tensile forces through two optimization schemes. Scheme one takes the reasonable bending moment distribution and minimum moment stain energy as the optimal control objective function to inverse analysis. Scheme two takes the bending moment distribution of dead load as the control objective of inversion optimization analysis, when the difference of the positive and negative absolute value is the minimum in the moment envelope under the load combination, which thinks about live load on the finished state. Through comparing the analysis results, the thesis demonstrates that the inversion optimization method could fulfill the requirement of factual project and be widely used for determining suspender tensile forces of tie-arch bridges.
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Ivanchenko, Grigory, Yurii Maksimyuk, Andriy Kozak, and Ivan Martyniuk. "CONSTRUCTION OF SOLVING EQUATIONS OF SEMI-ANALYTICAL METHOD OF FINISHED ELEMENTS FOR PRISMATIC BODIES OF COMPLEX SHAPE." Management of Development of Complex Systems, no. 46 (June 24, 2021): 55–62. http://dx.doi.org/10.32347/2412-9933.2021.46.55-62.

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The article presents an effective numerical approach to the study of arbitrarily loaded massive and thin-walled prismatic bodies of complex shape, the deformation of which can take place beyond the elasticity of the material. The equations of the semi-analytical finite element method (SAFEM) when used to decompose the displacements of Fourier series. The main relations between the spatial problem of the theory of elasticity in a curvilinear coordinate system and the theory of plastic flow for an isotropically reinforcing material under the Mises fluidity condition are presented. In accordance with the method of the moment scheme of finite elements (MSFE), the expressions of deformations of the prismatic finite element due to the nodal values of amplitude displacements are obtained. Formulas for calculating the stiffness matrix coefficients of a finite element (FE) with variable and averaged in the cross-sectional plane mechanical and geometric parameters are derived.
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Kibets, A. I., and M. V. Bezhentseva. "ANALYSIS OF FINITE ELEMENT SOLUTION CONSERVATIVE SMOOTHING INFLUENCE ON THE ZERO ENERGY MODES SUPPRESSION." Problems of strenght and plasticity 83, no. 1 (2021): 101–10. http://dx.doi.org/10.32326/1814-9146-2021-83-1-101-110.

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The problem of high-speed penetration of a non-deformable cylinder into a steel plate is considered. The defining system of equations is formulated in Lagrange variables in a three-dimensional formulation. The equation of motion is derived from virtual work capacities balance. Kinematic relations are recorded in the metric of the current state. The relations of the flow theory with kinematic and isotropic hardening are used as equations of state. The contact interaction of the cylinder and the plate is modeled by non-penetration conditions. The numerical solution of the problem under given boundary and initial conditions is based on the moment scheme of the finite element method and “cross” type explicit time integration scheme. To discretize the defining system of equations with respect to spatial variables, 8-node isoparametric finite elements with multilinear form functions are used. To suppress the high-frequency oscillations of the numerical solution, the procedure of nodal displacement velocities conservative smoothing is used. The smoothing algorithm is based on the momentum conservation law, focused on finite element grids consisting of blocks that are mutually unambiguously mapped to a unit cube. To analyze the nodal displacement velocities monotonicity, the numerical solution splitting in the directions of the finite element grid lines is used. As the results of computer modeling have shown, the finite elements of the plate are exposed large deformations and rotation angles as a rigid whole during local intense dynamic loading. The conservative smoothing procedure influence on the numerical solution stability is analyzed. It is shown that in the problem under consideration, without applying the conservative smoothing procedure, zero-energy modes develop in the contact zone in the finite-element grid of the plate (an hourglass-type instability) and the collision process cannot be modeled before the cylinder rebounds.
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Siekierski, Wojciech. "Analysis of Deck Slab of Reinforced Concrete Gerber-Girder Bridge Widened by Addition of Continuous Steel-Concrete Composite Girders." Baltic Journal of Road and Bridge Engineering 14, no. 2 (June 27, 2019): 271–84. http://dx.doi.org/10.7250/bjrbe.2019-14.443.

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Many Gerber-girder bridges have become obsolete in terms of deck width and load carrying capacity. If bridge replacement is not necessary, additional girders are installed. Sometimes, due to erection convenience, the added girders do not replicate the static scheme of the refurbished structure. Such an arrangement requires special attention to preserve structural durability. An example of the inappropriate arrangement of the widening of a Reinforced Concrete Gerber-girder road bridge is presented together with an alternative concept of refurbishment based on the addition of the continuous steel-concrete girders as the outermost ones. The added deck slab connects the added and the existing parts of the structure. Attention is drawn the static analysis of the added deck slab and the influence of the added outermost girders that do not replicate the static scheme of the existing ones. Due to different static schemes of the existing and the added girders, the traditional method of the deck slab analysis is inappropriate. The Finite Element 3D model is to be applied to access bending moments in the deck slab spans correctly. It is shown that: a) the analysis of the distribution of the bending moments in the existing and the added slab spans, especially near Gerber-hinges, should be based on the Finite Element 3D modelling; b) the analysis should consider live loads acting on the whole width of the Gerber-hinge span; c) the bending moment distribution in the widened deck slab is sensitive to the distance to the Gerber hinge.
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Chen, Guang Hua, De Tian, and Ying Deng. "Main Beam Optimization of Wind Turbine Blade Base on Multi-Objective Genetic Algorithm." Advanced Materials Research 655-657 (January 2013): 496–501. http://dx.doi.org/10.4028/www.scientific.net/amr.655-657.496.

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Take s814 airfoil as an example, established the multi-objective optimization model of moment of inertia and the weight for wind turbine blade main beam,Using the genetic algorithm global optimization algorithm, and given the Pareto solution set of optimal with the form of Pareto front. Select four kinds of optimization results scheme to do finite element calculation. The results shows that the magnitude of moment of inertia accordance with the change trend of main beam deflection, the width and thick of beam cap have great affect on moment of inertia and weight, the nearer aerodynamic center of leading edge, the greater moment of inertia, the thick of web almost no influence on moment of inertia.
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Quintana-Rodríguez, J. A., J. F. Doyle, F. J. Carrión-Viramontes, Didier Samayoa-Ochoa, and J. Alfredo López-López. "Material Characterization for Dynamic Simulation of Non-Homogeneous Structural Members." Key Engineering Materials 449 (September 2010): 46–53. http://dx.doi.org/10.4028/www.scientific.net/kem.449.46.

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Generally, simulation of non-homogeneous materials requires a homogeneous representation with equivalent properties different from the constitutive elements. Determination of the equivalent properties for dynamic simulation is not always a direct and straightforward calculation, as they have to represent, not only the static reactions, but also the dynamic behavior, which depends on a more complex relation of the geometrical (area, inertia moment), mechanical (elastic modulus) and physical (density) properties. In this context, the Direct Sensitivity Method (DSM) is developed to calibrate structural parameters of a finite element model using a priori information with an inverse parameter identification scheme, where parameters are optimized through an error sensitivity function using experimental data with the dynamic responses of the model. Results demonstrate that parameters of materials can be calibrated efficiently from the DSM and that key aspects for this calibration are noise, sensitivity (structural and sensor), and the finite element model representation.
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Dissertations / Theses on the topic "Moment scheme of the finite element"

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Wang, Hanyang. "Moment method analysis of slotted waveguide antennas incorporating finite element method." Thesis, Heriot-Watt University, 1994. http://hdl.handle.net/10399/1350.

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Гребенюк, Сергій Миколайович, Сергей Николаевич Гребенюк, and Sergii M. Grebeniuk. "Напружено-деформований стан просторових конструкцій на основі гомогенізації волокнистих композитів." Thesis, Запорізький національний технічний університет, 2016. http://eir.zntu.edu.ua/handle/123456789/1212.

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Гребенюк, С. М. Напружено-деформований стан просторових конструкцій на основі гомогенізації пружних сталих волокнистих композитів [Текст]: дис. … д-ра тех. наук: 01.02.04 /Гребенюк Сергій Миколайович. – Запоріжжя, 2016. – 319 с.
UK: На основі аналітичних розв’язків методом представницького об’ємного елемента отримані співвідношення для ефективних пружних сталих композита з транстропними матрицею і волокном. Побудована матриця жорсткості паралелепіпедного скінченного елемента на основі моментної схеми, яка враховує особливості просторової орієнтації волокон. Описано підхід до розв’язку геометрично нелінійної задачі за допомогою модифікованого метода Ньютона-Канторовича. Запропоновані підходи використано при створенні пакету прикладних програм. Визначено напружено-деформований стан гумовокордних віброізоляторів та автомобільної шини, а також головного обтічника ракетоносія. EN: In terms of analytical solutions by use of the presentation box unit the correlations for the effective elastic constants of the composite with the trans-tropic matrix and fiber are first obtained. It is constructed the stiffness matrix of the parallelepiped finite element on the basis of the moment scheme taking into account specific of the spatial orientation of the fibers. The approach to the solution of the geometrically non-linear problem with the help of modified Newton-Kantorovich method is described. On the basis of the approaches proposed it is developed package of the applied programs. The stress-strained state of the rubber-cord vibration isolators and the car tyre as well as the main carrier rocket fairing is determined. RU: На основе аналитических решений методом представительного объемного элемента получены соотношения для эффективных упругих постоянных композита с транстропными матрицей и волокном. Построена матрица жесткости параллелепипедного конечного элемента на основе моментной схемы, которая учитывает особенности пространственной ориентации волокон. Описан подход к решению геометрически нелинейной задачи с помощью модифицированного метода Ньютона-Канторовича. Предложенные подходы использованы при создании пакета прикладных программ. Определено напряженно-деформированное состояние резинокордных виброизоляторов и автомобильной шины, а также головного обтекателя ракетоносителя.
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梁少江 and Siu-kong Leung. "Analysis of shear/core wall structures using a linear moment beam-typeelement." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31213352.

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Wilson, Kevin E. "A Finite Element Investigation of Non-Orthogonal Moment Connections in Steel Construction." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1445609099.

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Leung, Siu-kong. "Analysis of shear/core wall structures using a linear moment beam-type element /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B18155376.

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Tremblay, Frédéric 1970. "Introduction of a second-moment closure turbulence model in a finite element formulation." Thesis, McGill University, 1997. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=27258.

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The present thesis deals with the successful introduction of a second-moment closure turbulence model into a computer program using the Finite Element Method to solve the Navier-Stokes equations. The implementation presented has the advantage of using an equal interpolation for all the variables. It is also very economical in terms of the amount of memory required from the computer, since a fully decoupled formulation has been adopted, along with an iterative solver which permits to store in memory only the non-zero coefficients of the linear system of equations to be solved. Specialized elements are used to avoid resolving the near-wall region of the flow. The apparent viscosity concept is derived for the finite element formulation, along with a correction factor which permits a better representation of the Reynolds stresses. The RSM is compared to the older $k - epsilon$ model in two test cases where experimental data was available. The conclusion drawn from this work is that the RSM is able to reproduce more phenomenon occurring in turbulent flows than the $k - epsilon$ model. It is thought that the $k - epsilon$ model will gradually be supplanted by more complex models, as more computing power become available.
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Tremblay, Frédéric. "Introduction of a second-moment closure turbulence model in a finite element formulation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ29632.pdf.

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Schroeder, John M. "Moment-Rotation Curves for Shear Tab Connections Using Finite Element Modeling and Experimental Data." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1337954722.

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Providas, Efthimios. "On the geometrically nonlinear constant moment triangle (with a note on drilling rotations)." Thesis, Brunel University, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.277518.

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Ruffley, Daniel J. "A Finite Element Approach for Modeling Bolted Top-and-Seat Angle Components and Moment Connections." University of Cincinnati / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1304448809.

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Books on the topic "Moment scheme of the finite element"

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Berger, Rutherford C. A finite element scheme for shock capturing. Vicksburg, Miss: U.S. Army Corps of Engineers, Waterways Experiment Station, 1993.

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Abhary, Kazem. A powerful automatic mesh generation scheme for finite element models. [Kensington, NSW]: School of Mechanical and Industrial Engineering, University of New South Wales, 1987.

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A coupled/upcoupled computational scheme for deformation and fatique damage analysis of unidirectional metal-matrix composites. [Washington, DC: National Aeronautics and Space Administration, 1998.

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Book chapters on the topic "Moment scheme of the finite element"

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Morgan, K., J. Peraire, J. Peiro, and O. C. Zienkiewicz. "A Finite Element Scheme for the Euler Equations." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 275–91. Wiesbaden: Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-87875-5_15.

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Neittaanmäki, P., and M. Křížek. "Postprocessing of a Finite Element Scheme with Linear Elements." In Numerical Techniques in Continuum Mechanics, 69–83. Wiesbaden: Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-322-85997-6_7.

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Bessemoulin-Chatard, Marianne, and Mazen Saad. "Monotone Combined Finite Volume-Finite Element Scheme for a Bone Healing Model." In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, 497–505. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05591-6_49.

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Eymard, Robert, Danielle Hilhorst, and Martin Vohralík. "Combined Nonconforming/Mixed-hybrid Finite Element-Finite Volume Scheme for Degenerate Parabolic Problems." In Numerical Mathematics and Advanced Applications, 288–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18775-9_26.

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Falk, Richard S., and Gerard R. Richter. "Remarks on a continuous finite element scheme for hyperbolic equations." In Lecture Notes in Mathematics, 63–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0072671.

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Darbandi, Masoud, Kiumars Mazaheri-Body, and Shidvash Vakilipour. "A Pressure-Weighted Upwind Scheme in Unstructured Finite-Element Grids." In Numerical Mathematics and Advanced Applications, 250–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18775-9_22.

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Ku, Tae Wan, June Key Lee, and Beom Soo Kang. "Development of Finite Element Analysis Scheme for Micro Forming Using Grain Element and Grain Boundary Element." In Materials Science Forum, 61–66. Stafa: Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/0-87849-990-3.61.

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Wisniewski, K., E. Turska, L. Simoni, and B. A. Schrefler. "Error Analysis of Staggered Predictor-Corrector Scheme for Consolidation of Porous Media." In The finite element method in the 1990’s, 192–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-10326-5_20.

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Abdelmalik, M. R. A., and Harald van Brummelen. "Entropy Stable Discontinuous Galerkin Finite Element Moment Methods for Compressible Fluid Dynamics." In Lecture Notes in Computational Science and Engineering, 75–95. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-30705-9_8.

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Harbrecht, H. "Finite Element Based Second Moment Analysis for Elliptic Problems in Stochastic Domains." In Numerical Mathematics and Advanced Applications 2009, 433–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11795-4_46.

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Conference papers on the topic "Moment scheme of the finite element"

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Cheng, Wang Li, and Zhang Hui Ming. "A Finite Element Scheme for Incompressible Viscous Flow Calculations." In ASME 1985 Beijing International Gas Turbine Symposium and Exposition. American Society of Mechanical Engineers, 1985. http://dx.doi.org/10.1115/85-igt-131.

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A finite element scheme for two dimensional incompressible viscous flows in primitive variables is proposed in this paper. An upwind factor finite element method is devised to solve the momentum equations, and the continuity equation is satisfied by the correction of the pressure field. Numerical experiments are carried out for a driven cavity and a diffuser. The Renolds Number for the cavity flow is 100.0, and for the diffuser is 50000.0. The numerical result of the scheme for the cavity flow is compared with that by another numerical method and satistactory agreement is found.
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Le Cunff, Cédric, Jean-Michel Heurtier, Loïc Piriou, Christian Berhault, Timothée Perdrizet, David Teixeira, Gilles Ferrer, and Jean-Christophe Gilloteaux. "Fully Coupled Floating Wind Turbine Simulator Based on Nonlinear Finite Element Method: Part I — Methodology." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10780.

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In the present paper, a new fully coupled simulator based on DeepLines™ software is described in order to address floating wind turbines dynamic simulation. It allows its user to take into account either separately or together the hydrodynamic and aerodynamic effects on one or several floating wind turbines. This simulator includes a non linear beam finite elements formulation to model the structural components — blades, tower, drivetrain, mooring lines and umbilicals — for both HAWT and VAWT layouts and advanced hydrodynamic capabilities to define all kinds of floating units and complex environmental loadings. The floating supports are defined with complete hydrodynamic databases computed with a seakeeping program. The aerodynamic loads acting on the turbine rotor are dynamically computed by an external aerodynamic library, which first release includes BEM (blade element moment for HAWTs) and SSM (single streamtube method for VAWTs) methods. The integration in time is performed with an implicit Newmark integration scheme.
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Olson, Richard, Sureshkumar Kalyanam, Jeong Soon Park, and Frederick W. Brust. "Improvement of the LBB.ENG2 Circumferential Through-Wall Crack J-Estimation Scheme." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63264.

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The LBB.ENG2[1] circumferential through-wall crack (TWC) J-estimation scheme forms the basis for the Extremely Low Probability of Rupture (xLPR)[2] probabilistic pipe fracture analysis for TWC elastic-plastic fracture mechanics (EPFM) stability assessment. The LBB.ENG2 methodology uses a reduced thickness pipe wall analogy to approximate the behavior of actual cracked pipe and sets the thickness of the reduced section by making the usual cracked pipe limit load assumption. Sometime during the original LBB.ENG2 development process, it was discovered that LBB.ENG2 was not as good as desired at predicting the maximum moment carrying capacity of pipe fracture experiments with longer cracks. Accordingly, the effective thickness equation was modified to be 1.0 at crack angles less than π/4, 4/π at angles greater than π/3, and linear between these values using a so-called ψ function. When LBB.ENG2 was coded for the TWC stability module for xLPR, TWC_fail, the behavior described above was implemented. Quite unexpectedly, with the new coding, exploration of TWC_fail’s bounds uncovered two discontinuities in the complete moment-pressure-critical crack size failure surface. Subsequently, it was found that these discontinuities were caused by the discontinuity in the derivative of the ψ function. This paper documents the approach used to smooth the TWC_fail moment-pressure-critical crack size surface by making a ψ function fit that minimizes the difference between J from LBB.ENG2 and J from finite element analyses results. The results of the finite element analyses and fitting methodology are described and the basic equations for the solution are presented. Following this, the new ψ function is applied to cases to evaluate the efficacy of the approach.
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Alavi, S. Mahmood Aboulhasan. "Finite Element Simulation of Non-Isothermal Fluid Flow Past a Staggered Tube Bank." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-25015.

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In this paper the two-dimensional, non-isothermal fluid flow past a staggered tube bank is analyzed numerically by the finite element method. The flow is assumed to be incompressible, laminar and unsteady. To stabilize the discretized equations of the continuity and momentum, the streamline upwind/Petrov-Galerkin scheme is employed and the energy equation is solved using the Taylor-Galerkin method too. The computational domain for ten tubes in the direction of flow is meshed by using the four noded-quadrilateral elements. Equilateral-triangle (ET) tube pattern is considered for staggered tube bank. Reynolds numbers of 100, 200 and 300, Prandtl number of 0.71, and pitch-to-diameter ratios (PDR) of 1.25, 1.5 and 2.0 are chosen for the investigation. Having obtained the flow and the temperature fields, the local skin friction coefficient and the local Nusselt number are calculated for the tubes in the bundle at different times. A comparison of the results of the present study with the results of experiments of other investigators, for the steady-state case, shows good agreement between them.
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Shim, Do-Jun, Mohammed Uddin, Frederick Brust, and Gery Wilkowski. "Cohesive Zone Modeling of Ductile Crack Growth in Circumferential Through-Wall-Cracked Pipe Tests." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57947.

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Cohesive zone modeling has been shown to be a convenient and effective method to simulate and analyze the ductile crack growth behavior in fracture specimens and structures. However, the cohesive zone modeling has not been applied to simulate the ductile crack growth behavior of a circumferential through-wall cracked pipe. In this paper, cohesive zone modeling has been applied to simulate the ductile crack growth of a past through-wall-cracked pipe test that was conducted during Degraded Piping Program. The ABAQUS code was used for the three-dimensional finite element analysis. The bending moment at crack initiation, maximum bending moment, crack extension, and J-integral values were calculated from the finite element analysis. These results were compared with the experimental results. In addition, results obtained from an existing J-estimation scheme (LBB.ENG2) were provided for comparison. All results showed reasonable agreement. The results of the present study demonstrate that the cohesive zone modeling can be applied to simulate the ductile crack growth behavior of a through-wall cracked pipe.
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Chen, Ken S., and Michael A. Hickner. "Modeling PEM Fuel Cell Performance Using the Finite-Element Method and a Fully-Coupled Implicit Solution Scheme via Newton’s Technique." In ASME 2006 4th International Conference on Fuel Cell Science, Engineering and Technology. ASMEDC, 2006. http://dx.doi.org/10.1115/fuelcell2006-97032.

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A numerical model that employs the finite-element method and a fully-coupled implicit solution scheme via Newton’s technique is presented for simulating the performance of polymer-electrolyte-membrane (PEM) fuel cells. With our model, solved are the multi-dimensional momentum, mass & species, and charge conservation equations that govern, respectively, pressure-gradient driven flows along the gas flow channels (GFCs) and within the gas diffusion layers (GDLs), species transport along GFCs and within GDLs, and proton and water transport within the membrane as well as the ButlerVolmer constitutive equations describing the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR). For simplicity, the present version of our model considers PEM fuel cell operation as isothermal and water present as vapor, and treats the anode and cathode catalyst layers as respective interfaces at which HOR and ORR take place. With our numerical approach, all governing equations are solved simultaneously and quadratic convergence is ensured due to the use of Newton’s method with an analytical Jacobian. To demonstrate the utility of our computational approach, computed predictions of velocity field, contours of hydrodynamic pressure and molar concentrations of hydrogen, oxygen and water species, and current distribution and polarization (or I-V) curves from a two-dimensional case study of a simplified PEM fuel cell are presented. To help assess the validity of our PEM fuel cell model, measurements of current distribution and polarization curves were performed using a segmented PEM fuel cell, and the resultant experimental data as well as that from the literature are compared with computed predictions.
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Ilinca, Florin, Jean-François Hétu, Martin Audet, and Randall Bramley. "Simulation of 3-D Mold-Filling and Solidification Processes on Distributed Memory Parallel Architectures." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0805.

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Abstract This work presents industrial mold-filling applications of a three-dimensional stabilized finite element solver on distributed memory parallel architectures. The paper focuses on the solution algorithm and parallel implementation for complex multiphasics problems involving high Reynolds number flows with free surfaces, turbulence modeling and heat transfer. Standard domain decomposition methods (Chaco, Metis) are applied to the graph of nodes obtained from the finite element mesh, and a distributed-memory MPI programming model is used. An implicit time integration scheme and a segregated iterative algorithm are used to solve the momentum, energy, turbulence variables and front tracking equations. The equations are dis-cretized using a stabilized SUPG finite element method on linear elements. The resulting sparse system of linear equations is solved using parallel preconditioned iterative methods.
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Yao, Yanping, Ming-Wan Lu, and Xiong Zhang. "A New Approach of Piping Dynamic Response Considering Plastic Effect." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92030.

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Dynamic response of piping system is significantly affected by plastic deformation. Based on the behavior classification of the pipe subjected to a steady axial force and a cyclic bending moment, the absorbed energy per semi-cycle due to plasticity is calculated for different elasto-plastic behavior. A new efficient piping dynamic response analysis method, plastic dissipation equivalent damping method, is proposed to consider the plastic effect on the basis of equivalence principle of energy dissipation. The proposed scheme is implemented in the finite element analysis code FEAP by introducing the equivalent damping which causes the same energy loss per semi-cycle. Numerical examples indicate that the results obtained by the present method show good agreements with those of elasto-plastic FEM analysis, and that this method can reduce the required computational effort significantly.
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Chawla, V., and T. A. Laursen. "Time Integration of Impact Phenomena in Solid Mechanics: A One-Dimensional Model Problem." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/cie-1621.

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Abstract 1D impact between two identical bars is modeled as a simple spring-mass system as would be generated by a finite element discretization. Some commonly used time integrators are applied to the system to demonstrate defects in the numerical solution as compared to the exact analytical solution. Using energy conservation as the criterion for stability, a new time integration scheme is proposed that imposes a persistency condition for dynamic contact. Finite element simulation with Lagrange multipliers for enforcing the contact constraints shows exact energy and momentum conservation.
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Gunelsu, Ozgur, and Ozgen Akalin. "Development of a Piston Secondary Motion Model for Skirt Friction Analysis." In ASME 2012 Internal Combustion Engine Division Fall Technical Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/icef2012-92166.

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A comprehensive piston skirt lubrication and secondary motion model that can be used for piston friction simulations was developed based on Greenwood and Tripp’s surface asperity contact model and Patir and Cheng’s modified Reynolds equation with surface flow factors. Oil flow between the skirt-liner clearances was modeled and hydrodynamic and asperity contact pressures around the skirt were calculated. Reynolds boundary conditions were applied to determine the film rupture boundaries and wetted areas. Surface roughness and roughness orientation were included in the model. Due to its important effect on pressure development in the oil film, change in the skirt profile due to elastic deformations was taken into account. Change of the skirt profile due to piston thermal expansion is also calculated using the steady-state temperature distribution of the piston corresponding to the investigated engine running conditions. A piston stiffness matrix obtained by finite element analysis was used to determine the elastic deformations of the piston skirt under the calculated oil film pressures. A two-degree-of-freedom system is formed with the forces and moments calculated by the lubrication model. These forces and moments require a coupled solution with piston position. This is achieved by applying an iterative numerical procedure based on Broyden’s scheme which seeks force and moment balance at each iteration phase making use of time step variation. The effects of various engine operating conditions and piston design parameters on piston secondary motion were investigated. Piston skirt friction force due to hydrodynamic shear forces and metal-to-metal contact is calculated.
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Reports on the topic "Moment scheme of the finite element"

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Koteras, J. R. Solution of problems with material nonlinearities with a coupled finite element/boundary element scheme using an iterative solver. Yucca Mountain Site Characterization Project. Office of Scientific and Technical Information (OSTI), January 1996. http://dx.doi.org/10.2172/179303.

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CAPACITY EVALUATION OF EIGHT BOLT EXTENDED ENDPLATE MOMENT CONNECTIONS SUBJECTED TO COLUMN REMOVAL SCENARIO. The Hong Kong Institute of Steel Construction, September 2021. http://dx.doi.org/10.18057/ijasc.2021.17.3.6.

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The extended stiffened endplate (8ES) connection is broadly used in the seismic load-resisting parts of steel structures. This connection is prequalified based on the AISC 358 standard, especially for seismic regions. To study this connection’s behaviors, in the event of accidental loss of a column, the finite element model results were verified against the available experimental data. A parametric study using the finite element method was then carried out to investigate these numerical models’ maximum capacity and effective parameters' effect on their maximum capacity in a column loss scenario. This parametric analysis demonstrated that these connections fail at the large displacement due to the catenary action mode at the rib stiffener's vicinity. The carrying capacity, PEEQ, Von-Mises stress, middle column force-displacement, critical bolt axial load, and the beam axial load curves were discussed. Finally, using the Least Square Method (LSM), a formula is presented to determine the displacement at the maximum capacity of these connections. This formula can be used in this study's presented method to determine the maximum load capacity of the 8ES connections in a column loss scenario.
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MECHANICAL PRORERTIES OF EXPOSED COLUMN BASE CONNECTIONS FOR L-SHAPED COLUMNS FABRICATED USING CONCRETE-FILLED STEEL TUBES. The Hong Kong Institute of Steel Construction, December 2021. http://dx.doi.org/10.18057/ijasc.2021.17.4.4.

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The response of exposed column base connections for L-shaped column is investigated through finite element analysis (FEA) in this paper which is affected by complex interactions among different components. Three finite element models are constructed to simulate the response of these connections under axial and cyclic horizontal loading, which interrogate a range of variables including anchor rod strength, base plate size and thickness. The results of the simulations provide insights into internal stress distributions which have not been measured directly through experiments. The key findings indicate that thicker base plates tend to shift the stresses to the toe of the base plate, while thinner plates concentrate the stresses under the column flange. Base on the analytical results, a hysteretic model is proposed to describe the cyclic moment-rotation response of exposed column base connections. The core parameters used to define the backbone curve of the hysteretic model are calibrated through configurational details. The comparison between the simulation and the calculated values indicates that the hysteretic model is suitable to characterize the key aspects of the physical response, including pinching, recentering and flag-shaped hysteresis phenomenon. Limitations of the model are outlined.
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INVESTIGATION OF BEHAVIOR OF INTERIOR STEEL CONNECTIONS WITH OPENINGS IN BEAM WEB AND FLANGE UNDER MONOTONIC LOADING. The Hong Kong Institute of Steel Construction, December 2021. http://dx.doi.org/10.18057/ijasc.2021.17.4.2.

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Connections are considered to be one of the most prominent components of steel moment frames and have received studious attention in recent years. The core problem of welded connections is premature brittle fracture of weld in the critical beam-to-column connection region. Within the framework of this issue, various approaches have been proposed to solve the mentioned problem. Intentional weakening of the beam web or flange is in line with the purpose of leading the plastic hinge away from the column face, hence, increasing the ductility. The aim of this research is to investigate the behavior of interior connections subjected to monotonic lateral loading in case of presence of openings in beam web or flange. To do so, an ordinary fully welded rigid connection, reduced beam section, reduced web section, and drilled flange connection models are simulated numerically, utilizing finite element software, ANSYS. The results indicate that scrupulous selection of opening sizes are of great importance to fulfill the desired outcome which is avoiding the brittle failure of connections. Furthermore, the use of drilled flange, reduced beam section, or reduced web section connections satisfy the expected performance and it is proposed to use them according to practicability, architectural and economic considerations as well as site conditions. Shear deformation and local buckling is observed in reduced web section connections while in drilled flange connections, stress concentration around the opening is critical.
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NUMERICAL STUDY OF TWO NOVEL CONNECTIONS WITH SHORT END I OR H STUB IN STEEL STRUCTURES. The Hong Kong Institute of Steel Construction, March 2022. http://dx.doi.org/10.18057/ijasc.2022.18.1.8.

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In this study, two novel steel connections are introduced by replacements in the conventional end-plate connection with an H-or I-shaped cross-section as a Short Stub Column (SSC). In the first connection, the SSC flange is bolted to the column flange, and the beam is welded to the stub flange. In the second connection, after welding the SSC flange to the column flange and welding the beam to an end-plate, the end-plate is bolted to the SSC flange. The flange and web of the stub are reinforced using horizontal stiffeners to transfer the beam moment. Stiffeners could be employed with various thicknesses and configurations such that the strength and ductility of the joint could be adjusted. In this study, the Finite Element Model (FEM) model of a conventional welded and bolted end-plate connection, subjected to cyclic loading, is primarily calibrated using experimental data from previous studies. After confirming the model's performance, the behavior of the two proposed connections, in comparison with it, has been studied. The hysteresis diagrams have been obtained for each case, followed by extracting the effective parameters and comparing them. The results show that the two Proposed Connections reduce the stress in the panel zone and increase the ductility compared to the previously confirmed end-plates. All the samples in this study satisfy the fundamental requirements for rigid beam-to-column connections, according to AISC.
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