Bp. Jacob et Nff. Ebecken, ADAPTIVE TIME INTEGRATION OF NONLINEAR STRUCTURAL DYNAMIC PROBLEMS, European journal of mechanics. A, Solids, 12(2), 1993, pp. 277-298
This work presents the development of an adaptive computational strate
gy for the efficient nonlinear dynamic analysis of large-scale structu
ral systems, particularly oriented towards the analysis of compliant s
tructures for deepwater oil exploration and production. This strategy
is devised having in mind the following requirements: (a) Superior com
putational efficiency when compared with conventional nonlinear dynami
c analysis tools; (b) User-friendliness, reflected in savings in the t
ime spent by the engineer for the preparation and submission of the co
mputer jobs necessary to obtain the dynamic response; and (c) Improved
characteristics of reliability and robustness, reflected by the quali
ty of the results and the ability to complete an analysis without abno
rmal terminations. In order to fulfill these requirements, the adaptiv
e algorithm performs automatic time step adjustment, allowing the step
value to vary during the analysis according to the modal composition
of the dynamic response and to the nonlinear behavior of the structura
l system; it also performs the automatic determination of stiffness re
evaluations, to minimize the costs related to the calculation of eleme
nt matrices, and assembling and decomposition of global matrices. Appl
ications on the nonlinear dynamic analysis of deepwater compliant stru
tures are presented, to evaluate the aforementioned characteristics of
the computational system.