论文标题

结构力学中二阶问题的TR-BDF2方法

The TR-BDF2 method for second order problems in structural mechanics

论文作者

Bonaventura, L., Marmol, M. Gomez

论文摘要

讨论了TR-BDF2方法在结构力学和地震工程典型的二阶问题中的应用。提出了对该方法的重新制定,仅需要解决大小的代数系统等于自由度位移的数量。相关基准的线性分析和数值实验表明,TR-BDF2方法在准确性和效率方面优于经典NEWMARK方法及其概括。

The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, that only requires the solution of algebraic systems of size equal to the number of displacement degrees of freedom. A linear analysis and numerical experiments on relevant benchmarks show that the TR-BDF2 method is superior in terms of accuracy and efficiency to the classical Newmark method and to its generalizations.

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