Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v1.i23.110
22 pages

A Robust Simulation Algorithm for Conservative Linear Mechanical Systems

Khalid Al-Widyan
Department of Mechanical Engineering and Centre for Intelligent Machines, McGill University, Montreal, Canada
Jorge Angeles
Department of Mechanical Engineering and Centre for Intelligent Machines, McGill University, Montreal, Canada
Svetlana Ostrovskaya
Department of Mechanical Engineering and Centre for Intelligent Machines, McGill University, Montreal, Canada

RÉSUMÉ

Proposed in this article is an inherently conservative simulation scheme, based on the zero-order hold and a closed-form time response of the system at hand. It is shown that the simulation algorithm can be cast in a form in which the state-transition matrix, mapping a state at instant tk into a state at instant tk+1, is proper orthogonal. Hence, for an n-degree-of-freedom (dof) system, this matrix represents a rotation in the 2n-dimensional space of state variables. As a result, the numerical damping required in the simulation of undamped systems is obviated. The performance of the algorithm is illustrated with two examples drawn from engineering systems.


Articles with similar content:

AN OPTIMAL PREDICTION METHOD FOR UNDERRESOLVED TIME-MARCHING AND TIME-SPECTRAL
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 2
Prakash Vedula, Peter J. Attar, Allen LaBryer
A MULTISCALE/MULTIDOMAIN MODEL FOR THE FAILURE ANALYSIS OF MASONRY WALLS: A VALIDATION WITH A COMBINED FEM/DEM APPROACH
International Journal for Multiscale Computational Engineering, Vol.16, 2018, issue 4
Patrizia Trovalusci, L. Leonetti, Antonella Cecchi, Emanuele Reccia
Anisotropic Micromechanical Creep Damage Model for Composite Materials: A Reduced-Order Approach
International Journal for Multiscale Computational Engineering, Vol.6, 2008, issue 2
Erez Gal, Jacob Fish
Chaotic Small-Scale Velocity Fields as Prospective Models for Unresolved Turbulence in an Additive Decomposition of the Navier-Stokes Equations
International Journal of Fluid Mechanics Research, Vol.26, 1999, issue 5-6
James M. McDonough, E. C. Hylin
PARTICLE-FILTER BASED UPSCALING FOR TURBULENT REACTING FLOW SIMULATIONS
International Journal for Multiscale Computational Engineering, Vol.15, 2017, issue 1
Tarek Echekki, Shubham Srivastava