Stability and accuracy of the Newmark method for solving nonlinear systems are analytically evaluated. It is proved that an unconditionally stable method for linear elastic systems is also unconditionally stable for nonlinear systems and a conditionally stable method for linear elastic systems remains conditionally stable for nonlinear systems except that the upper stability limit might vary with the step degree of nonlinearity and step degree of convergence. It is also found that numerical accuracy in the solution of nonlinear systems is highly related to the step degree of nonlinearity and the step degree of convergence although its general properties are similar to those of linear elastic systems. Analytical results are confirmed with numerical examples.
Stability and Accuracy for Nonlinear Systems
- Views Icon Views
- Share Icon Share
- Search Site
Chang, S. "Stability and Accuracy for Nonlinear Systems." Proceedings of the ASME 2005 Pressure Vessels and Piping Conference. Volume 8: Seismic Engineering. Denver, Colorado, USA. July 17–21, 2005. pp. 3-9. ASME. https://doi.org/10.1115/PVP2005-71287
Download citation file: