Comparison of numerically dissipative schemes for structural dynamics - generalized-alpha versus energy-decaying methods

Lavrenčič, Marko (avtor), Brank, Boštjan (avtor)

We revisit some existing time-stepping schemes for structural dynamics with the algorithmic dissipation that fall either into the class of generalized- methods or into the class of energy-decaying (and momentum-conserving) methods. Some of the considered schemes are designed for the second-order and some for the first-order form of the differential equations of motion. We perform a comparison (for linear dynamics) of their accuracy, dissipation, dispersion, as well as of the overshoot. In order to study how these features extend to nonlinear dynamics, we choose numerical tests on shell-like examples. Shell models are a difficult check for dynamic schemes because numerically stiff equations need to be solved as an effect of a large difference between the bending (and shear) and the membrane deformation modes. For the considered schemes we illustrate their ability to decay/dissipate energy, their ability to fully/approximately conserve the angular momentum, and nonlinear order of accuracy by error indicators.

• Jezik: Angleški jezik
• Ključne besede: civil engineering, thin-walled structures, structural dynamics methods, momentum-conserving methods, stiff equations, hell-like examples
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: Posredovano založniku
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: Str. 1-22
• Številčenje: Letn. 157, št. 107075
• PID: 20.500.12556/RUL-120701
• UDK: 624.07
• ISSN pri članku: 0263-8231
• DOI: 10.1016/j.tws.2020.107075
• COBISS.SI-ID: 29701379
• Datum objave v RUL: 24.09.2020

Gradivo je del revije

• Naslov: Thin-walled structures
• Skrajšan naslov: Thin-walled struct.
• Založnik: Elsevier
• ISSN: 0263-8231
• COBISS.SI-ID: 26529536

Licence

• Licenca: CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
• Opis: Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.
• Začetek licenciranja: 24.09.2020

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: gradbeništvo, gradbene konstrukcije, dinamika konstrukcij, implicitne sheme, numerična disipacija, posplošene metode, metode, ki disipirajo energijo in ohranjajo vrtilno količino, toge enačbe primeri z lupinami, primeri z lupinami

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: J2-1722
• Naslov: Numerično modeliranje porušitve v krhkih, kvazi-krhkih in duktilnih konstrukcijah
• Akronim: ComFrac