NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Nonlinear flap-lag axial equations of a rotating beamIt is possible to identify essentially four approaches by which analysts have established either the linear or nonlinear governing equations of motion for a particular problem related to the dynamics of rotating elastic bodies. The approaches include the effective applied load artifice in combination with a variational principle and the use of Newton's second law, written as D'Alembert's principle, applied to the deformed configuration. A third approach is a variational method in which nonlinear strain-displacement relations and a first-degree displacement field are used. The method introduced by Vigneron (1975) for deriving the linear flap-lag equations of a rotating beam constitutes the fourth approach. The reported investigation shows that all four approaches make use of the geometric nonlinear theory of elasticity. An alternative method for deriving the nonlinear coupled flap-lag-axial equations of motion is also discussed.
Document ID
19770053313
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Kaza, K. R. V.
(NASA Langley Research Center Aeroelasticity Branch; Hampton, Va.; NASA, Lewis Research Center, Cleveland, Ohio, United States)
Kvaternik, R. G.
(NASA Langley Research Center Aeroelasticity Branch, Hampton Va., United States)
Date Acquired
August 9, 2013
Publication Date
June 1, 1977
Publication Information
Publication: AIAA Journal
Volume: 15
Subject Category
Mechanical Engineering
Accession Number
77A36165
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available