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Information Journal Paper

Title

EXACT FINITE ELEMENT FORMULATION IN GENERALIZED BEAM THEORY

Pages

  295-323

Abstract

 This paper presents the formulation of exact stiffness matrices applied in linear generalized beam theory (GBT) under constantand/or linear loading distribution in the longitudinal direction. Also, the assortment of the correct exact stiffness matrixand the corresponding shape function are presented based on main transversal deformation mode, which can be dividedinto: (1) dominant distortion mode; (2) dominant torsion mode; (3) and critical distortion– torsion mode. Special attention isgiven to the hyperbolic– trigonometric shape functions, which are organized in a system of vector in function of longitudinaldirection and a coefficient matrix obtained from the completeness requirement. This approach has the benefit of compactingthe terms of the stiffness matrix and systematizing the boundary conditions of an element by applying the completenesscoefficient matrix as a transformation matrix. As a result, in linear analysis, a single element can represent the stress anddisplacement fields. Moreover, due to the higher-order continuous derivatives properties of hyperbolic– trigonometric shapefunctions, the generalized internal shear is obtained without the typical discontinuity of Hermitian shape functions. A fulland detailed example, applied in a thin-walled circular hollow cross section, provides not only an illustration of the presentedapproach, but also a quick introduction point in GBT.

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    Cite

    APA: Copy

    BIANCO, M.J., KONKE, C., HABTEMARIAM, A., & ZABEL, V.. (2018). EXACT FINITE ELEMENT FORMULATION IN GENERALIZED BEAM THEORY. INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING, 10(3), 295-323. SID. https://sid.ir/paper/319903/en

    Vancouver: Copy

    BIANCO M.J., KONKE C., HABTEMARIAM A., ZABEL V.. EXACT FINITE ELEMENT FORMULATION IN GENERALIZED BEAM THEORY. INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING[Internet]. 2018;10(3):295-323. Available from: https://sid.ir/paper/319903/en

    IEEE: Copy

    M.J. BIANCO, C. KONKE, A. HABTEMARIAM, and V. ZABEL, “EXACT FINITE ELEMENT FORMULATION IN GENERALIZED BEAM THEORY,” INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING, vol. 10, no. 3, pp. 295–323, 2018, [Online]. Available: https://sid.ir/paper/319903/en

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