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The Use of Higher-Order Difference Methods in Beam Vibration AnalysisSimple and higher-order difference methods for the solution for the natural frequencies of vibration of a uniform beam are compared. The same basic higher-order method is used throughout for the interior cells, but three different methods of boundary-condition representation are given. Tables and graphs of the error in mode frequencies, as compared with a continuous beam, are given for the various methods as a function of the number of cells. It is concluded that higher-order methods improve accuracy for a given number of cells, with essentially no change in the quantity of computing equipment required.
Document ID
19980227794
Acquisition Source
Headquarters
Document Type
Other - NASA Technical Note (TN)
Authors
Greenwood, Donald T. (Michigan Univ. Ann Arbor, MI United States)
Date Acquired
September 6, 2013
Publication Date
December 1, 1961
Subject Category
Structural Mechanics
Report/Patent Number
NASA-TN-D-964
Funding Number(s)
CONTRACT_GRANT: NsG-6360
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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