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CSM solutions of rotating blade dynamics using integrating matricesThe dynamic behavior of flexible rotating beams continues to receive considerable research attention as it constitutes a fundamental problem in applied mechanics. Further, beams comprise parts of many rotating structures of engineering significance. A topic of particular interest at the present time involves the development of techniques for obtaining the behavior in both space and time of a rotor acted upon by a simple airload loading. Most current work on problems of this type use solution techniques based on normal modes. It is certainly true that normal modes cannot be disregarded, as knowledge of natural blade frequencies is always important. However, the present work has considered a computational structural mechanics (CSM) approach to rotor blade dynamics problems in which the physical properties of the rotor blade provide input for a direct numerical solution of the relevant boundary-and-initial-value problem. Analysis of the dynamics of a given rotor system may require solution of the governing equations over a long time interval corresponding to many revolutions of the loaded flexible blade. For this reason, most of the common techniques in computational mechanics, which treat the space-time behavior concurrently, cannot be applied to the rotor dynamics problem without a large expenditure of computational resources. By contrast, the integrating matrix technique of computational mechanics has the ability to consistently incorporate boundary conditions and 'remove' dependence on a space variable. For problems involving both space and time, this feature of the integrating matrix approach thus can generate a 'splitting' which forms the basis of an efficient CSM method for numerical solution of rotor dynamics problems.
Document ID
19920022375
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Lakin, William D. (Vermont Univ. Burlington, VT, United States)
Date Acquired
September 6, 2013
Publication Date
February 28, 1992
Subject Category
Structural Mechanics
Report/Patent Number
NASA-CR-190577
NAS 1.26:190577
Accession Number
92N31619
Funding Number(s)
CONTRACT_GRANT: NAG1-1097
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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