NDLI: Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades

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Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades

Content Provider	NASA Technical Reports Server (NTRS)
Author	Dowell, E. H. Hodges, D. H.
Copyright Year	1974
Description	The equations of motion are developed by two complementary methods, Hamilton's principle and the Newtonian method. The resulting equations are valid to second order for long, straight, slender, homogeneous, isotropic beams undergoing moderate displacements. The ordering scheme is based on the restriction that squares of the bending slopes, the torsion deformation, and the chord/radius and thickness/radius ratios are negligible with respect to unity. All remaining nonlinear terms are retained. The equations are valid for beams with mass centroid axis and area centroid (tension) axis offsets from the elastic axis, nonuniform mass and stiffness section properties, variable pretwist, and a small precone angle. The strain-displacement relations are developed from an exact transformation between the deformed and undeformed coordinate systems. These nonlinear relations form an important contribution to the final equations. Several nonlinear structural and inertial terms in the final equations are identified that can substantially influence the aeroelastic stability and response of hingeless helicopter rotor blades.
File Size	1993088
Page Count	62
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19750005242
Archival Resource Key	ark:/13960/t29930s91
Language	English
Publisher Date	1974-12-01
Access Restriction	Open
Subject Keyword	Structural Mechanics Twisted Wings Dynamic Response Elastic Bending Nonlinearity Equations of Motion Aeroelasticity Flexibility Torsion Rotary Wings Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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