Classical Solutions of Nonlinear Beam Equations: Existence and Stabilization

Autor:	Stephen W. Taylor, Gareth Hegarty
Rok vydání:	2012
Předmět:	Nonlinear system Control and Optimization Planar Amplitude Exponential stability Control theory Applied Mathematics Mathematical analysis Torque Motion (geometry) Angular velocity Beam (structure) Mathematics
Zdroj:	SIAM Journal on Control and Optimization. 50:703-719
ISSN:	1095-7138 0363-0129
DOI:	10.1137/100793864
Popis:	In this paper we consider the large amplitude planar motion of a cantilevered beam with a feedback force and/or torque (proportional and acting opposite to the velocity/angular velocity, respectively) applied at the free end. We derive nonlinear equations of motion for such a beam based upon certain natural geometric assumptions. We then prove the existence of classical solutions for these equations and show that all classical solutions are uniformly exponentially stable.
Databáze:	OpenAIRE
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