O glatkoći rješenja konstruktorskih problema i fizičkoj interpretaciji slabe formulacije

Scientific paper - Review paper

• Title (english): On smoothness of solutions to structural problems and physical interpretation of weak formulation
• Title (german): Glatte Lösungen bei Konstruktionsproblemen und physische Interpretation schwacher Formulierungen
• Author: Josip Dvornik
• Author: Damir Lazarević https://orcid.org/0000-0002-7439-719X
• Author: Krešimir Fresl https://orcid.org/0000-0001-6519-9303
• Author: Antonia Jaguljnjak Lazarević https://orcid.org/0000-0001-6479-686X
• Author's institution: University of Zagreb; Faculty of Civil Engineering
• Author's institution: University of Zagreb; Faculty of Mining, Geology and Petroleum Engineering; (Department of Mining and Geotechnical Engineering)
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Basic Technical Sciences

Abstract (croatian)

U radu su na više interpretativan nego na formalan način svrstana i opisana tipična rješenja modela konstrukcije, s posebnim osvrtom na slabu formulaciju i njezino fizičko tumačenje, koje prema našemu mišljenju nedostaje u literaturi. Upozoreno je i na pogreške u približenju radi ustrajavanja na pretjeranoj glatkoći rješenja. Razmišljanja su potkrijepljena primjerima. Nadamo se da rad može pridonijeti shvaćanju biti aproksimacije praktičnih modela u građevinarstvu i zorno predočiti snagu slabe formulacije - temelja približnih postupaka proračuna.

Abstract (english)

Typical structural modelling solutions are classified and described in the paper based on an approach that is more interpretative than formal. A special emphasis is placed on weak formulation and its physical interpretation which, in the authors’ opinion, is lacking in the literature. The attention is also drawn to approximation errors, caused by insisting on excessive smoothness of solutions. These considerations are backed by examples. It is hoped that the paper will contribute to the understanding of the essence of approximation of practical models in civil engineering, while clearly demonstrating the power of weak formulation - the foundation of approximation procedures.

Abstract (german)

In der Abhandlung wurden auf eine mehr interpretative als formale Art und Weise die
typischen Lösungen des Konstruktionsmodells eingeordnet und beschrieben, unter besonderer
Berücksichtigung der schwachen Formulierung sowie deren physische Auslegung, die unserer
Meinung nach in der Literatur fehlt. Hingewiesen wird auch auf die Fehler bei der Annäherung,
um auf einer übertrieben glatten Lösung zu bestehen. Die Überlegungen werden durch
Beispiele untermauert. Wir hoffen, dass die Abhandlung dem Verständnis des Kerns der
Approximation der praktischen Modelle im Bauwesen beitragen und die Stärke der schwachen
Formulierung – Grundlage der ungefähren Berechnungsverfahren anschaulich darlegen kann.

• Keywords (croatian): model konstrukcije; jaka formulacija; slaba formulacija; rezidual; singularna točka; diskontinuitet
• Keywords (english): structural model; strong formulation; weak formulation; residual; singular point; discontinuity
• Keywords (german): Konstruktionsmodell, starke Formulierung, schwache Formulierung, Residuum, Singularpunkt, Diskontinuität
• Language: croatian
• Language: english
• Publication type: Scientific paper - Review paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Građevinar
• Numbering: vol. 71, no. 03., pp. 187-195
• p-ISSN: 0350-2465
• e-ISSN: 1333-9095
• DOI: https://doi.org/10.14256/JCE.2583.2018
• URN:NBN: urn:nbn:hr:169:017897
• Online first: 2019-03-25
• Document URL: https://hrcak.srce.hr/218245
• Type of resource: Text
• Access conditions: Open access
• Created on: 2020-07-02 11:15:58