The continuation method for calculation of continuous beams of arbitrary bending rigidity

This article presents an effective mathematical continuation method for the numerical implementation of the multipoint boundary value problem, to which the calculation of a beam of arbitrary rigidity at any of its supports is reduced. The problem can be treated as a direct one in the matter of const...

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Veröffentlicht in:	MATEC web of conferences 2021, Vol.350, p.17
Hauptverfasser:	Verameichyk, Andrei, Mazyrka, Mikhael, Khvisevich, Vitaliy
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Continuation methods Continuous beams Mathematical analysis Rigidity
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Beschreibung
Zusammenfassung:	This article presents an effective mathematical continuation method for the numerical implementation of the multipoint boundary value problem, to which the calculation of a beam of arbitrary rigidity at any of its supports is reduced. The problem can be treated as a direct one in the matter of constructing an optimal design based on beam systems. A test example of the calculation is given.
ISSN:	2261-236X 2274-7214 2261-236X
DOI:	10.1051/matecconf/202135000017