%0 Conference Proceedings
%T An upper bound for normal form asymptotic expansions
%+ Laboratoire de Tribologie et Dynamique des Systèmes (LTDS)
%+ Unité de Mécanique (UME)
%+ Laboratoire de Mécanique des Structures et des Systèmes Couplés (LMSSC)
%A Lamarque, Claude-Henri
%A Touzé, Cyril
%A Thomas, Olivier
%< sans comité de lecture
%B DSTA 2011, Dynamical Systems Theory and Applications
%C Lodz, Poland
%8 2011
%D 2011
%Z Mathematics [math]/Dynamical Systems [math.DS]
%Z Nonlinear Sciences [physics]
%Z Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph]Conference papers
%X In the nineties, analytical methods based on normal form theory have been used to obtain approximate expressions of free or forced responses of non-linear (smooth) mechanical systems. A large amount of interesting results can be obtained by these approaches, however no practical limits of validity are available. In this paper, a method to obtain simple upper bounds for amplitudes of changes of coordinates is proposed. Simple conservative mechanical examples are provided to illustrate the bounds estimation and their validity.
%G English
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01154715/document
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01154715/file/DSTA2011CHLCTOT.pdf
%L hal-01154715
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-01154715
%~ ENSTA
%~ CNRS
%~ EC-LYON
%~ CNAM
%~ ENTPE
%~ LTDS
%~ INSMI
%~ ENSTA_UME
%~ TDS-MACS
%~ UNIV-HESAM
%~ UNIV-HESAM-CNAM
%~ LMSSC-CNAM
%~ UDL
%~ ENISE
%~ HESAM-CNAM
%~ HESAM