FREE VIBRATION ANALYSIS OF A EMBARKED ROTATING COMPOSITE SHAFT USING THE HP- VERSION OF THE FEM

Authors

  • ABDELKRIM BOUKHALFA ABOU BAKR BELKAID UNIVERSITY -TLEMCEN-ALGERIA

Keywords:

ROTATING SHAFT, DISK, COMPOSITE MATERIALS, GYROSCOPIC EFFECT, HP- VERSION, HIERARCHICAL FINITE ELEMENT METHOD, FEM.

Abstract

THE WORK OF THIS PAPER IS CONCERNED TO THE STUDY OF THE VIBRATORY BEHAVIOR OF THE ROTATING COMPOSITE SHAFTS. THE COMPOSITE SHAFT CONTAINS ISOTROPIC RIGID DISKS AND IS SUPPORTED BY BEARINGS THAT ARE MODELED AS SPRINGS AND VISCOUS DAMPERS. A HP- VERSION OF THE FINITE ELEMENT METHOD (FEM) IS USED TO MODEL THE STRUCTURE. A HIERARCHICAL FINITE ELEMENT OF BEAM TYPE WITH SIX DEGREES OF FREEDOM PER NODE IS DEVELOPED. THE ASSEMBLY IS MADE BY THE STANDARD VERSION OF THE FINITE ELEMENT METHOD FOR SEVERAL ELEMENTS. A THEORETICAL STUDY ALLOWS THE ESTABLISHMENT OF THE KINETIC ENERGY AND THE STRAIN ENERGY OF THE SYSTEM (SHAFT, DISK AND BEARINGS) NECESSARY TO THE RESULT OF THE EQUATIONS OF MOTION. IN THIS STUDY THE TRANSVERSE SHEAR DEFORMATION, ROTARY INERTIA AND GYROSCOPIC EFFECTS, AS WELL AS THE COUPLING EFFECT DUE TO THE LAMINATION OF COMPOSITE LAYERS HAVE BEEN INCORPORATED. A PROGRAM IS ELABORATE FOR THE CALCULATION OF THE EIGENFREQUENCIES AND CRITICAL SPEEDS OF THE SYSTEM. THE RESULTS OBTAINED COMPARED WITH THOSE AVAILABLE IN THE LITERATURE SHOW THE SPEED OF CONVERGENCE, THE EXACTITUDE AND THE EFFECTIVENESS OF THE METHOD USED. SEVERAL EXAMPLES ARE TREATED, AND A DISCUSSION IS ESTABLISHED TO DETERMINE THE INFLUENCE OF THE VARIOUS PARAMETERS AND BOUNDARY CONDITIONS.

Downloads

Published

2010-05-17

Issue

Vol. 7 No. 2 (2010)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).