ENGLISH

An improved stiffly stable method for direct integration of nonlinear structural dynamic equations

By Park К.С.

Book information

Language
english
Format
PDF
Filesize
6 MB (6242222 bytes)
Pages
\4
Library
twirpx
Time added
2017-08-07 07:01:42
Математика;Нелинейная динамика;Теория интегрируемы

Description

Journal of Applied Mechanics, ASME, Vol.42, pp. 464-470.( June 1975 - Volume 42, Issue 2, 464 (7 pages) doi:10.1115/1.3423600. )Structural Mechanics Laboratory, Lockheed Palo Alto Research Laboratory, Palo Alto, Calif.The behavior of linear multistep methods has been evaluated for application to structural dynamics problems. By examining the local stability of the currently popular methods as applied to nonlinear problems, it is shown that the presence of historical derivatives can cause numerical instability in the nonlinear dynamics even for methods that are unconditionally stable for linear problems. Through an understanding of the stability characteristics of Gear's two-step and three-step methods, a new method requiring no historical derivative information has been developed. Superiority of the new method for nonlinear problems is indicated by means of comparisons with currently popular methods.

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