Dissipation-induced instabilities and symmetry
Dissipation-induced instabilities and symmetry作者机构:Dynamics and Vibrations GroupDepartment of Mechanical EngineeringTechnical University of Darmstadt Hochschulstr.1 Mathematisch InstituutUniversity of Utrecht
出 版 物:《Acta Mechanica Sinica》 (力学学报(英文版))
年 卷 期:2011年第27卷第1期
页 面:2-6页
核心收录:
学科分类:07[理学] 070201[理学-理论物理] 0702[理学-物理学]
基 金:supported by the Research(DFG HA 1060/43-1)
主 题:Dissipation-induced instabilities Destabilization paradox Ziegler pendulum Whitney umbrella
摘 要:The paradox of destabilization of a conservative or non-conservative system by small dissipation,or Ziegler’s paradox(1952),has stimulated a growing interest in the sensitivity of reversible and Hamiltonian systems with respect to dissipative *** the last decade it has been widely accepted that dissipation-induced instabilities are closely related to singularities arising on the stability boundary,associated with Whitney’s *** first explanation of Ziegler’s paradox was given(much earlier)by Oene Bottema in *** aspects of the mechanics and geometry of dissipation-induced instabilities with an application to rotor dynamics are discussed.