Comparison of numerically dissipative schemes for structural dynamics: Generalized-alpha versus energy-decaying methods
| Autor: | Marko Lavrenčič, Boštjan Brank |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
metode
implicitne sheme Angular momentum Differential equation structural dynamics methods gradbene konstrukcije 020101 civil engineering 02 engineering and technology momentum-conserving methods stiff equations 0201 civil engineering thin-walled structures 0203 mechanical engineering posplošene metode Overshoot (signal) Applied mathematics gradbeništvo Dispersion (water waves) dinamika konstrukcij Civil and Structural Engineering Physics ki disipirajo energijo in ohranjajo vrtilno količino Mechanical Engineering Order of accuracy Building and Construction Dissipation toge enačbe primeri z lupinami Nonlinear system hell-like examples 020303 mechanical engineering & transports primeri z lupinami udc:624.07 Dissipative system numerična disipacija civil engineering |
| Zdroj: | Thin-walled structures, vol. 157, no. 107075, pp. 1-22, 2020. |
| ISSN: | 0263-8231 |
| DOI: | 10.1016/j.tws.2020.107075 |
| Popis: | We revisit some existing time-stepping schemes for structural dynamics with the algorithmic dissipation that fall either into the class of generalized- α 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. |
| Databáze: | OpenAIRE |
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