Marko Lavrenčič (Avtor), Boštjan Brank (Avtor)

Povzetek

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.

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;civil engineering;thin-walled structures;structural dynamics methods;momentum-conserving methods;stiff equations;hell-like examples;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FGG - Fakulteta za gradbeništvo in geodezijo
UDK: 624.07
COBISS: 29701379 Povezava se bo odprla v novem oknu
ISSN: 0263-8231
Št. ogledov: 518
Št. prenosov: 84
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne 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;
Vrsta dela (COBISS): Članek v reviji
Konec prepovedi (OpenAIRE): 2022-09-23
Strani: str. 1-22
Letnik: ǂLetn. ǂ157
Zvezek: ǂšt. ǂ107075
Čas izdaje: dec. 2020
DOI: 10.1016/j.tws.2020.107075
ID: 12046371