Dissipation-induced instabilities and symmetry

作     者：Oleg N.Kirillov Ferdinand Verhulst 

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.