Remarks on the derivation of the governing equations for the dynamics of a nonlinear beam to a non ideal shaft coupling

Journal Article · Wed Dec 10 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4904566· OSTI ID:22390801

Fenili, André; Francisco, Cayo Prado Fernandes ^[1]

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1. Universidade Federal do ABC (UFABC), Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas (CECS) / Aerospace Engineering Santo André, São Paulo, Brazil and Instituto de Aeronáutica e Espaço, Departamento de (Brazil)

We derive nonlinear governing equations without assuming that the beam is inextensible. The derivation couples the equations that govern a weak electric motor, which is used to rotate the base of the beam, to those that govern the motion of the beam. The system is considered non-ideal in the sense that the response of the motor to an applied voltage and the motion of the beam must be obtained interactively. The moment that the motor exerts on the base of the beam cannot be determined without solving for the motion of the beam.

• OSTI ID: 22390801
• Journal Information: AIP Conference Proceedings, Vol. 1637, Issue 1; Conference: ICNPAA 2014: 10. International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Narvik (Norway), 15-18 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
ELECTRIC MOTORS
ELECTRIC POTENTIAL
EQUATIONS
MATHEMATICAL SOLUTIONS
MECHANICAL SHAFTS
NONLINEAR PROBLEMS