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Author:

Eisentraeger, Sascha (Eisentraeger, Sascha.) | Kapuria, Santosh (Kapuria, Santosh.) | Jain, Mayank (Jain, Mayank.) | Zhang, Junqi (Zhang, Junqi.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the numerical properties of a recently developed high-order Spectral Euler-Bernoulli Beam Element (SBE) featuring a C-1-continuous approximation of the displacement field are assessed. The C-1-continuous shape functions are based on two main ingredients, which are an Hermitian interpolation scheme and the use of Gauss-Lobatto-Legendre (GLL) points. Employing GLL-points does not only avoid Runge oscillations, but also yields a diagonal mass matrix when exploiting the nodal quadrature technique as a mass lumping scheme. Especially in high-frequency transient analyses, where often explicit time integration schemes are utilized, having a diagonal mass matrix is an attractive property of the proposed element formulation. This is, however, achieved at the cost of an under-integration of the mass matrix. Therefore, a special focus of this paper is placed on the evaluation of the numerical properties, such as the conditioning of the element matrices and the attainable rates of convergence (ROCs). To this end, the numerical behavior of the SBEs is comprehensively analyzed by means of selected benchmark examples. In a nutshell, the obtained results demonstrate that the element yields good accuracy in combination with an increased efficiency for structural dynamics exploiting the diagonal structure of the mass matrix.

Keyword:

Author Community:

  • [ 1 ] [Eisentraeger, Sascha]Tech Univ Darmstadt, Dept Civil & Environm Engn, Darmstadt, Germany
  • [ 2 ] [Kapuria, Santosh]Indian Inst Technol Delhi, Dept Appl Mech, New Delhi, India
  • [ 3 ] [Jain, Mayank]Indian Inst Technol Delhi, Dept Appl Mech, New Delhi, India
  • [ 4 ] [Zhang, Junqi]Beijing Univ Technol, Coll Architecture & Civil Engn, Beijing, Peoples R China

Reprint Author's Address:

  • [Eisentraeger, Sascha]Tech Univ Darmstadt, Dept Civil & Environm Engn, D-64287 Darmstadt, Germany;;

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Source :

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

ISSN: 0044-2267

Year: 2023

Issue: 9

Volume: 103

2 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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