An efficient iteration procedure for form finding of slack cables under concentrated forces

• Autorzy: Orynyak Igor , Guarracino Federico , Modano Mariano , Mazuryk Roman

Identyfikatory

DOI

10.24425/ace.2022.140664

• Języki publikacji: EN

Abstrakty

EN

The goal of paper is the development and demonstration of efficiency of algorithm for form finding of a slack cable notwithstanding of the initial position chosen. This algorithm is based on product of two sets of coefficients, which restrict the rate of looking for cable geometry changes at each iteration. The first set restricts the maximum allowable change of absolute values of positions, angles and axial forces. The second set takes into account whether the process is the converging one (the signs of maximal change of parameters remain the same), so that it increases the allowable changes; or it is a diverging one, so that these changes are discarded. The proposed procedure is applied to two different methods of simple slack cable calculation under a number of concentrated forces. The first one is a typical finite element method, with the cable considered as consisting of number of straight elements, with unknown positions of their ends, and it is essentially an absolute coordinate method. The second method is a typical Irvine’s like analytical solution, which presents only two unknowns at the initial point of the cable; due to the peculiarity of implementation it is named here a shooting method. Convergence process is investigated for both solutions for arbitrary chosen, even very illogical initial positions for the ACM, and for angle and force at the left end for SM as well. Even if both methods provide the same correct convergent results, it is found that the ACM requires a much lower number of iterations.

Słowa kluczowe

EN

concentrated force; cable; iteration procedure; shooting method; absolute coordinate method; accuracy

PL

siła skupiona; kabel; procedura iteracyjna; metoda strzelania; metoda współrzędnych bezwzględnych; dokładność

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2022
• Tom: Vol. 68, nr 2
• Strony: 645--663
• Opis fizyczny: Bibliogr. 18 poz., il., tab.

Twórcy

autor

Orynyak Igor

• Department of Applied Mathematics, National Technical University, Kiev Polytechnic Institute, Kyiv, Ukraine

• https://orcid.org/0000-0003-4529-0235

autor

Guarracino Federico

• Department of Structural Engineering, University of Naples “Federico II”, Napoli, Italy

• https://orcid.org/0000-0001-7017-5170

autor

Modano Mariano

• Department of Structural Engineering, University of Naples “Federico II”, Napoli, Italy

• https://orcid.org/0000-0003-0619-3360

autor

Mazuryk Roman

• Department of Applied Mathematics, National Technical University, Polytechnic Institute, Kyiv, Ukraine (student)

• https://orcid.org/0000-0003-4309-824X

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).