Nonlinear equations for dynamics of pretwisted beams undergoing small strains and large rotations

作者: D. H. Hodges

DOI:

关键词: Deformation (mechanics)Rigidity (electromagnetism)KinematicsFinite element methodBeam (structure)MechanicsStaticsNonlinear systemEngineeringImage warping

摘要: Abstract : Nonlinear beam kinematics are developed and applied to the dynamic analysis of a pretwisted, rotating element. The common practice assuming moderate rotations caused by structural deformation in geometric nonlinear analyses beams has been abandoned present analysis. kinematic relations that describe orientation cross section during simplified systematically ignoring extensional strain compared unity those relations. Open effects such as warping rigidity dynamics ignored, but other influences warp retained. THe is not allowed deform its own plane. Various means implementation discussed, including finite element formulation. Numerical results obtained for static problems show remarkable agreement with experiment. Keywords: Dynamic analysis; Rotating beams; Helicopter rotors. (Author)

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