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2 edition of Highly accurate beam torsion solutions using the p-version finite element method found in the catalog.

Highly accurate beam torsion solutions using the p-version finite element method

James P. Smith - undifferentiated

Highly accurate beam torsion solutions using the p-version finite element method

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  • 23 Currently reading

Published by National Aeronautics and Space Administration, Available from NASA Center for AeroSpace Information in [Washington, D.C.?, Linthicum Heights, MD .
Written in English

    Subjects:
  • Finite element method.,
  • Torsion -- Mathematical models.

  • Edition Notes

    StatementJames Smith.
    GenreMathematical models.
    SeriesNASA technical paper -- 3608
    ContributionsLyndon B. Johnson Space Center. Structures and Mechanics Division.
    The Physical Object
    Paginationiv, 12 p. :
    Number of Pages12
    ID Numbers
    Open LibraryOL19427961M

    Variable-Order Finite Elements for Nonlinear, Fully Intrinsic Beam Equations - Free download as PDF File .pdf), Text File .txt) or read online for free. . A Complete Bibliography of Publications in Computing Nelson H. F. Beebe University of Utah Department of Mathematics, LCB S E RM Salt Lake City, UT USA Tel: +1 FAX: +1 E-mail: [email protected], [email protected], [email protected][email protected], [email protected], [email.   Comparisons with analytical solutions show that the integration scheme is generally more accurate than the sub-element method. Comparison to results from traditional finite elements shows that significant reduction in the number of elements in the mesh is possible using higher-order (p-version) finite elements.


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Highly accurate beam torsion solutions using the p-version finite element method by James P. Smith - undifferentiated Download PDF EPUB FB2

Context, we extend the highly accurate p-finite element method to the two-dimensional boundary value problem of beam torsion. Based on Legendre polynomials, the p-finite element method offers exceptional convergence compared to the traditional h-version of the finite element method (Babuska [1]).

In the p-version finite elementCited by: 1. Get this from a library. Highly accurate beam torsion solutions using the p-Version finite element method. [James Smith; Langley Research Center.]. The extended finite element method (XFEM) is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM).

It extends the classical finite element method by enriching the solution space for solutions to differential equations with discontinuous functions. Vibration characteristics of cracked rotating tapered beam are investigated by the p-version finite element the present formulation, the shape functions enriched with the shifted Legendre orthogonal polynomials are employed to represent the transverse displacement field within the rotating tapered beam by: A p-version beam finite element with hierarchic basis functions and which may experience longitudinal, torsional and bending deformations in any plane is employed to investigate the geometrically non-linear vibrations of d–clamped, isotropic and elastic beams of circular cross section are analysed.

The geometrical non-linearity is taken into account by Cited by: The differential quadrature finite element method (DQFEM) has been shown to be effective in implementing the p-version finite element method [16, 17]. Moderately nonlinear vibrations of 3D beams with rectangular cross Highly accurate beam torsion solutions using the p-version finite element method book and that rotate about a fixed axis are investigated by the p-version finite element method.

Two types of nonlinearity are taken into account: one comes from the nonlinear strain-displacement relation, the other appears because of the inertia forces due to the rotation of Cited by: A p-version beam finite element with hierarchic basis functions and which may experience longitudinal, torsional and bending deformations in any plane is employed to investigate the geometrically non-linear vibrations of beams.

Clamped-clamped, isotropic and elastic beams of circular cross section are by: Much later, the p-version finite element method was devised to investigate the nonlinear vibration of rotating beam [2]. The spectral finite element method was also introduced [4] to study the.

Euler–Bernoulli beam theory accounts for centrifugal forces field, the centripetal acceleration and the gyroscopic effect. A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is applied to find natural frequencies and modes shape of the cantilever beam.

In mathematics, the finite element method (FEM) is a numerical technique for finding approximate solutions to boundary value problems for partial differential equations.

It uses subdivision of a whole problem domain into simpler parts, called finite elements, and variational methods from the calculus of variations. A p-version of the finite element method is applied to free vibration analysis of rotating beams in conjunction with the modelling dynamic method using the arc-length stretch deformation.

In this study the flexible and the rigid body DOF are supposed uncoupled, the linear equations of. A finite element structural dynamics model of a beam with an arbitrary moving base—Part II: Numerical examples and solutions Finite Elements in Analysis and Design, Vol.

12, No. 2 Stability of multi-axis attitude maneuver of flexible spacecraft using hybrid controlCited by: Finite Element Analysis for Design Engineers Kurowski, Paul M. Many books have been written about Finite Element Analysis (FEA), however very little FEA literature takes a middle ground approach and specifically addresses the needs of design.

Petrov and M. Géradin, Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids Part 1: Beam concept and geometrically exact nonlinear formulation, Computer Methods in Applied Mechanics and Engineering, (43), ().

The mathematics is also presented as simply as possible, so that the present textbook is also quite different from state of the art the mathematical treatments of the finite element method. Coverage The finite element models are in this book derived from the method of weighted residuals (the Galerkin form).

The finite element method as a discretization concept is absolutely predominant. An interesting example as to how the finite element developments have influenced the selection of specific structural models is the early shift from Kirchhoff–Love formulations to those with Reissner–Mindlin kinematics for plate and shell by: AI!, in the earlier conferences (Tokyo, ; Atlanta,Melbourne, ; and Hong Kong, ) the response to the call for presentations at ICES in Hawaii has been overwhelming.

A very careful screening of the extended abstracts resulted in. Since the s, only a few related numerical studies have been conducted,all using finite element methods. The salient features of these studies are reviewed of the first computational studies was reported by Abé et al.

(), who constructeda 3-D finite element model of overhead ground wires with optical fibers (OPGW). Oo eK FE 9X MR kU D0 Xc nU 6G Db vH Y5 3Y fC MF Db PL qi 4q n1 OE Zl i1 r9 yI xu 4B 6y 9x zZ Kw Vj sG iJ Mv yC NT kX Qj 2W FU o3 hP qv 6f 7S oj JP 0x sH 8k QE Xy cR.

Academic Press, Elsevier, — p. — (Computer Aided Engineering Design Series). — ISBNISBN На англ. is one book of a four-part series, which aims to integrate discussion of modern engineering design principles, advanced design tools, and industrial design practices throughout the design process.

(30) H-p version of the boundary element method with geometric mesh on polygonal domains. Babuska_I, Guo_BQ, Stephan_EP Computer Methods in Applied Mechanics and Engineering, JunVol, No, pp (31) Numerical investigation of wave interactions in dielectric waveguides with periodic surface corrugations.

This paper gives a bibliographical review of the finite-element methods (FEMs) applied to the analysis and simulation of rubber and rubber-like materials. It is a continuation of the author's paper 'Rubber and Rubber-Like Materials, Finite-Element Analyses and Simulations: a Bibliography (–)' published in Modelling Simul.

Mater. This banner text can have markup. web; books; video; audio; software; images; Toggle navigation. Preface This book contains the edited version of the Abstracts of Plenary and Keynote Lectures and Papers, and a companion CD-ROM with the full-length papers, presented at the III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering (ECCM), held in the National Laboratory of Civil.

This paper gives a review of the finite element techniques (FE) applied in the analysis and design of machine elements; bolts and screws, belts and chains, springs and dampers, brakes, gears, bearings, gaskets and seals are handled.

The range of applications of finite elements on these subjects is extremely wide and cannot be presented in a single paper; therefore the aim of this. These are presented in an engineering terminology for practical usage. The author treats the mathematical formulations from an engineering viewpoint and presents high-order finite-element methods for the computation of singular solutions in isotropic and anisotropic materials, and multi-material interfaces.

Professor Sritawat Kitipornchai Named Highly Cited Researcher. Beam bending solutions based on nonlocal Timoshenko beam theory. Wang, C. M., Kitipomchai, S., Lim, C. and Eisenberger, M. () Beam bending solutions based on nonlocal Timoshenko beam theory.

Finite element method for the feedback control of FGM shells in the frequency. A variety of 2D planar grid analysis meth- ods for horizontally curved bridges are available, including finite strip method, finite element method, and finite difference method.

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The goals of the implementation method are to obtain an evaluated and modified DDM, and the optimal layout of the sensors for the best performance of the DDM. The CDS method was developed and illustrated using a 3D frame example.

It was shown that the method could produce simulations that were good representations of real by: 3. This feed contains the latest items from the 'Journal of Sound and Vibration' source.

Highly accurate closed-form solutions for the free in-plane vibration of rectangular plates with arbitrary homogeneous boundary conditions. a numerical model using the finite element method is first derived based on a physical model and formulations.

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Good practice guide to practical finite element modelling techniques with specific emphasis on the advanced analysis codes of 4/5(11). ABSTRACT The torsion problem of a rectangular prismatic bar is solved using the Saint-Venants warping function method and analytic solutions to the twisting moment and the non-vanishing shear stresses are presented.

Approximate solutions to the torsion problem are derived by curve-fitting the analytic solutions using a power fit model with the. Among them, the finite element method is still perhaps the most commonly adopted in practice, while a growing use is observed of the companion boundary element method.

In some cases the results of these calculations are used at the design stage to assess the safety of the excavation or to define the characteristics of its supporting structures.5/5(1).

Highly Accurate Beam Torsion Solutions Using the p-Version Finite Element Method. NASA Technical Reports Server (NTRS) Smith, James P. A new treatment of the classical beam torsion boundary value problem is applied. Computing Volume 1, Number 2, June, E.

Bukovics Book Report: G. Sansone und R. Conti, Nonlinear Differential Equations (International Series of Monographs in Pure and Applied mathematics: Vol. 67) R. Dirl Book Report: M.

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