... to be unconditionally stable for any linear elastic and nonlinear systems except for the instantaneous stiffness hardening systems with the instantaneous degree of nonlinearity larger than 4 3 based on a linearized stability analysis. Hence, its stability property is better than the previously published algorithm...

..., January 2, 2001; revised manuscript received May 20, 2002. Associate Editor: G. C. Slagis. 02 January 2001 20 May 2002 08 11 2002 testing continuum mechanics finite element analysis nonlinear equations nonlinear systems bending As computer technology advances, more...

...; revised manuscript received July 16, 2001. Associate Editor: M. J. Pettigrew. 22 July 2001 18 March 2001 16 July 2001 vortices fluid dynamics nonlinear systems The foregoing models were developed with the goal of predicting the lock-in response due to vortex excitation...

... July 24, 2000. Editor: S. Y. Zamrik. 23 July 2000 01 May 2000 24 July 2000 nonlinear systems nonlinear equations pipe flow load distribution bending pressure vessels pressure stress-strain relations elasticity elastic deformation plasticity Pipe bends...