The paper desribes an energybased framework for a simple modelwith two degreesoffreedom that statically exhibitsbifurcations or limitpoints. Dynamically, the equivalent system mayrespond with small amplitude motion being dynamically stable orit may escape and move to exhibit large amplitudemotion thus becoming dynamically unstable. The energyframework is used to define bounds for these stable and unstable motions.These bounds are used to provide a framework for a set of dynamic finiteelement computations based on conventional finite elementtechniques.
Engineering Computations – Emerald Publishing
Published: Jun 1, 1994
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