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On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II
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1986
Year
Numerical AnalysisEngineeringStructural DynamicsMechanical EngineeringGalerkin Spatial DiscretizationInertial FrameNonlinear Mechanical SystemStructural EngineeringVibrationsMechanicsBeam DynamicsStructural DynamicDeformation ModelingNonlinear VibrationBeam InstabilitiesPart IiFinite Element MethodMechanical SystemsAeroelasticityFlexible BeamsNumerical TreatmentStructural MechanicsVibration Control
The numerical treatment of the methodology proposed in Part I of this paper is considered in detail. Unlike traditional approaches, a Galerkin spatial discretization of the equations of motion, now referred to the inertial frame, yields the standard form of nonlinear structural dynamics: Mq¨ + Dq˙ + P(q) = F, with M and D constant matrices. Numerical examples that involve finite vibrations coupled with large overall motions are presented. These simulations also demonstrate the capability of the present formulation in handling multibody dynamics.