A methodology based on a transfer function criterion to evaluate time integration algorithms

作者：Arias Trujillo Juana^*; Blazquez Rafael; Lopez Querol Susana

来源：Soil Dynamics and Earthquake Engineering, 2012, 37: 1-23.

DOI：10.1016/j.soildyn.2012.01.008

A methodology based on a transfer function criterion is developed to evaluate the performance of any time-integration algorithm, avoiding trial calculations. The procedure has been conducted on the frequency domain, comparing the exact transfer function with the numerical ones (developed herein) and, considering the most relevant aspects involved in the time integration techniques. This new criterion has been successfully applied to 18 of the most common time-integration methods in the field of Soil Dynamics. Moreover, three examples with known analytical solutions have been used to validate the conclusions drawn from the transfer function analysis. Finally, through the study of the different transfer functions, two numerical threshold values have been proposed in order to guarantee satisfactory results.

• 出版日期2012-6