Path following using velocity-based approach in quasi-static analysis

Sudhanva Kusuma Chandrashekhara (Author), Dejan Zupan (Author)

Abstract

In the present work, we propose a novel implementation of arc-length method for the computation of equilibrium paths for frame-like structures. We exploit the advantages of velocity-based beam formulations and adapt it to quasi-static analysis with path following control. We show that such formulation allows the arc-length control constraint equation to be directly employed in its originally defined differential form, while the arc-length parameter is replaced by time in our adaptation. This simplifies the treatment of the extended system of equations and its solution procedure. Our approach also enables the rotational degrees of freedom to be members of control parameters. The ability of the proposed method to successfully and efficiently compute complex equilibrium paths in post-buckling regime is demonstrated by several numerical examples.

Keywords

nonlinear beams;three-dimensional rotations;post-buckling;arc-length method;critical points;

Data

Language:	English
Year of publishing:	2023
Typology:	1.01 - Original Scientific Article
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
UDC:	624.04:624.072
COBISS:	154531075
ISSN:	0020-7683
Views:	198
Downloads:	27
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary abstract:	V članku predstavljamo novo implementacijo metode ločne dolžine za račun obtežno-ravnotežnih krivulj prostorskih okvirjev. Pristop temelji na prednostih metode z interpolacijo hitrosti in kotnih hitrosti, ki jo prilagodimo za kvazi-statično analizo in sledenje obtežno-deformacijski poti. Pokažemo, da naša formulacija omogoča neposredno implementacijo vezne enačbe v izvorni dinamični obliki in da lahko parameter ločne dolžine nadomestimo s časom. Tak pristop olajša reševanje razširjenega sistema enačb, poleg tega pa med kontrolne parametre zlahka vključimo tudi zasuke. Učinkovitost prestavljene metode tudi za zahtevne naloge je prikazana s številnimi računskimi primeri.
Secondary keywords:	critical points;nelinearni nosilci;prostorske rotacije;obnašanje po uklonu;metoda ločne dolžine;kritične točke;
Type (COBISS):	Article
Pages:	str. 1-15
Issue:	ǂVol. ǂ275, art. 112292
Chronology:	July 2023
DOI:	10.1016/j.ijsolstr.2023.112292
ID:	19160113