STATE-OF-THE-ART TIME INTEGRATION METHODS IN THE ADINA PROGRAM

This paper presents state-of-the-art solution methods available in the ADINA program for dynamic, direct time integration analysis of time-dependent problems. For implicit direct dynamic solutions, a two-step Bathe method is presented. Advantages of the Bathe method over the widely used Newmark method are shown in small sample problems. Solutions of complex dynamic problems using the Bathe method will be presented at the Conference. For direct explicit dynamic solutions, the Noh-Bathe method is presented and compared with the central difference method and here again, advantages of the Noh-Bathe method are shown in small sample problems.

Full text (pdf)

[1]  K.J. Bathe, G. Noh, Insight into implicit time integration scheme for structural dynamics, Computer & Structures, 98-99, 2012, s. 1-12.

[2]  G. Noh, K.J. Bathe, An Explicit Time Integration Scheme for the Analysis of Wave Propagation, Computers & Structures, 129, 2013, s. 178-193.

[3]  ADINA Theory and Modeling Guide, ADINA R&D, Inc, Watertown MA, 2011.

[4]  K.J. Bathe, Conserving energy and momentum in nonlinear dynamics: a simple implicit time integration scheme, Computers & Structures, 85, 2007, s. 437-445.