The analysis of the Generalized-α method for non-linear dynamic problems

S Erlicher, L Bonaventura, OS Bursi - Computational mechanics, 2002 - Springer
This paper presents the consistency and stability analyses of the Generalized-α methods
applied to non-linear dynamical systems. The second-order accuracy of this class of …

On an implementation of the Hilber-Hughes-Taylor method in the context of index 3 differential-algebraic equations of multibody dynamics (DETC2005-85096)

D Negrut, R Rampalli, G Ottarsson, A Sajdak - 2007 - asmedigitalcollection.asme.org
The paper presents theoretical and implementation aspects related to a numerical integrator
used for the simulation of large mechanical systems with flexible bodies and contact/impact …

Numerical solution of highly oscillatory ordinary differential equations

LR Petzold, LO Jay, J Yen - Acta numerica, 1997 - cambridge.org
One of the most difficult problems in the numerical solution of ordinary differential equations
(ODEs) and in differential-algebraic equations (DAEs) is the development of methods for …

Diagonally implicit Runge-Kutta methods for ordinary differential equations. A review

CA Kennedy, MH Carpenter - 2016 - ntrs.nasa.gov
A review of diagonally implicit Runge-Kutta (DIRK) methods applied to rst-order ordinary di
erential equations (ODEs) is undertaken. The goal of this review is to summarize the …

Vibration control of a two-link flexible manipulator

H Karagülle, L Malgaca, M Dirilmiş… - Journal of Vibration …, 2017 - journals.sagepub.com
In this study, a two-link manipulator with flexible members is considered. The end point
vibration signals are simulated by developing a MatLAB code based on the finite element …

Performance of implicit A-stable time integration methods for multibody system dynamics

H Zhang, R Zhang, A Zanoni, P Masarati - Multibody System Dynamics, 2022 - Springer
This paper illustrates the performance of several representative implicit A-stable time
integration methods with algorithmic dissipation for multibody system dynamics, formulated …

On the use of the HHT method in the context of index 3 differential algebraic equations of multibody dynamics

D Negrut, R Rampalli… - … and information in …, 2005 - asmedigitalcollection.asme.org
The paper presents theoretical and implementation aspects related to a new numerical
integrator available in the 2005 version of the MSC. ADAMS/Solver C++. The starting point …

An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD

Q Tang, L Chacón, TV Kolev, JN Shadid… - Journal of Computational …, 2022 - Elsevier
The magnetohydrodynamics (MHD) equations are continuum models used in the study of a
wide range of plasma physics systems, including the evolution of complex plasma dynamics …

Positive numerical integration methods for chemical kinetic systems

A Sandu - Journal of Computational Physics, 2001 - Elsevier
Chemical kinetics conserves mass and renders nonnegative solutions; a good numerical
simulation would ideally produce mass-balanced, positive concentration vectors. Many time …

Flutter amplitude saturation by nonlinear friction forces: Reduced model verification

C Martel, R Corral, R Ivaturi - Journal of …, 2015 - asmedigitalcollection.asme.org
The computation of the final, friction saturated limit cycle oscillation amplitude of an
aerodynamically unstable bladed-disk in a realistic configuration is a formidable numerical …