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Analysis of institutional authors

Rafael MerliAuthorLazaro, CAuthorMonleon, SAuthorDomingo, AAuthor

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October 31, 2024
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Comparison of two linearization schemes for the nonlinear bending problem of a beam pinned at both ends

Publicated to:International Journal Of Solids And Structures. 47 (6): 865-874 - 2010-03-15 47(6), DOI: 10.1016/j.ijsolstr.2009.12.001

Authors: Merli, R; Lázaro, C; Monleón, S; Domingo, A

Affiliations

Univ Politecn Valencia, Dept Ingn Construcc, Escuela Tecn Super Ingenieros Caminos Canales & P - Author
Univ Politecn Valencia, Dept Mecan Medios Continuos & Teoria Estructuras, Escuela Tecn Super Ingenieros Caminos Canales & P - Author

Abstract

The nonlinear bending problem of a constant cross-section simply supported beam pinned at both ends and subject to a uniformly distributed load q(x) is analyzed in detail. The numerical integration of the two-point boundary value problem (BVP) derived for the nonlinear Timoshenko beam is tackled through two different linearization schemes, the multi-step transversal linearization (MTrL) and the multi-step tangential linearization (MTnL), proposed by Viswanath and Roy (2007). The fundamentals of these linearization techniques are to replace the nonlinear part of the governing ODEs through a set of conditionally linearized ODE systems at the nodal grid points along the neutral axis, ensuring the intersection between the solution manifolds (transversally in the MTrL and tangentially in the MTnL). In this paper, the solution values are determined at grid points by means of a centered finite differences method with multipoint linear constraints (Keller, 1969), and a simple iterative strategy. The analytical solution for this kind of bending problem, including the extensional effects, can be worked out by integration of the governing two-point BVP equations (Monleon et al., 2008). Finally, the comparison of analytical and numerical results shows the better ability of MTnL with the proposed iterative strategy to reproduce the theoretical behavior of the beam for each load step, because the restraint of equating derivatives in MTnL leads to further closeness between solution paths of the governing ODEs and the linearized ones, in comparison with MTrL This result is opposed to the conclusion reached in Viswanath and Roy (2007), where the relative errors produced by MTrL are said to be smaller than the MTnL ones for the simply supported beam and the tip-loaded cantilever beam problems. (C) 2009 Elsevier Ltd. All rights reserved.

Keywords

Beam pinned at both endsBoundary value problem (bvp)Boundary value problemsBoundary-value-problemsCentered finite differencesFinite difference methodFrameLarge deflectionsLinear constraintsLinearizationLocally transversal linearization (ltl)Locally transversal linearizationsMechanicsMulti-point linear constraintsMulti-stepMulti-step tangential linearization (mtnl)Multi-step transversal linearization (mtrl)Multistep transversalNon-linear bendingNonlinear bending problemOrdinary differential equationsParticle beamsTimoshenko beamTimoshenko beams

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal International Journal Of Solids And Structures due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2010, it was in position 27/133, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mechanics.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-07-03:

  • WoS: 3
  • Scopus: 3

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-03:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 9.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 9 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 0.25.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Merli, R) and Last Author (Domingo Cabo, Alberto).

the author responsible for correspondence tasks has been Merli, R.