JOURNAL ARTICLE
Postbuckling Behavior of a Parametrically Excited Nonlinear Column
Year: 1973 Journal: SIAM Journal on Applied Mathematics Vol: 24 (1)Pages: 130-133 Publisher: Society for Industrial and Applied Mathematics
Abstract
Conditions for half-plane capture of a parametrically excited nonlinear column in the postbuckled state are presented. Conditions for snap-through (full plane motion) are also discussed. The fundamental mathematical tool used in the analysis is Lyapunov surfaces.
Keywords:
Nonlinear system Column (typography) Plane (geometry) Excited state Motion (physics) Lyapunov function Control theory (sociology) Mathematics Physics Mathematical analysis Mechanics Classical mechanics Geometry Computer science Connection (principal bundle) Atomic physics Quantum mechanics
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Topics
Vibration and Dynamic Analysis
Physical Sciences → Engineering → Control and Systems Engineering
Dynamics and Control of Mechanical Systems
Physical Sciences → Engineering → Control and Systems Engineering
Tribology and Lubrication Engineering
Physical Sciences → Engineering → Mechanical Engineering
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