A finite element for vibration analysis of twisted blades based on beam theory

F. Sisto, A. T. Chang

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

A finite element method of discretizing beam segments of pretwisted rotating blades is presented. Employing the matrix displacement method, stiffness and mass properties are developed from basic mechanics of a pretwisted beam theory. By introducing the proper displacement functions, the structural stiffness matrix and the effect of rotor blade rotational motion on the stiffness matrix are obtained systematically from the potential and kinetic energy functions. Comparing with other beam elements, the derivation of this element is more fundamental. This would allow one to apply the same approach to more complicated problems such as blade motions in a gyroscopic rotational field. Illustrative examples are given comparing numerical results with available data and other numerical solutions from rotating and nonrotating force fields. These examples show that accurate prediction of vibration frequencies for pretwisted blades can be obtained by employing a quite modest number of degrees of freedom.

Original languageEnglish
Pages (from-to)1646-1651
Number of pages6
JournalAIAA journal
Volume22
Issue number11
DOIs
StatePublished - Nov 1984

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