...Jiang Zhao; Qiang Tian; Haiyan Hu Modal analysis of a rotating thin plate is made in this paper through the use of the thin plate elements described by the absolute nodal coordinate formulation (ANCF). The analytical expressions of elastic forces and their Jacobian matrices of the thin plate...

... trajectory, and then carry out the approximation of the Lyapunov exponents using techniques for linear problems. 27 05 2009 20 04 2010 27 09 2010 27 09 2010 approximation theory Jacobian matrices Lyapunov methods nonlinear differential equations vectors Lyapunov...

.... These examples show that Radau IIA algorithms can solve stiff problems with acceptable speed while guaranteeing stability and accuracy. 02 03 2009 06 11 2009 28 07 2010 28 07 2010 differential equations differentiation elastic deformation finite element analysis Jacobian matrices...

... is a necessary condition for obtaining accurate solutions of linear problems, it is not a sufficient condition when skyline solvers are used. Consider the problem II Jacobian matrices defined in Eqs. 31 , 34 , obtained with and without the augmented Lagrangian term, respectively. Because of the presence...

... benchmark MSC.ADAMS runs. The proposed HHT-based algorithm has been released in the 2005 version of the MSC.ADAMS/Solver. 01 04 2006 05 07 2006 differential algebraic equations impact (mechanical) mechanical contact flexible structures Jacobian matrices nonlinear systems integration...