Main Article Content
THIS PAPER PRESENTS THE VIBRATORY BEHAVIOR OF A SPINNING COMPOSITE SHAFT WITH CURVILINEAR FIBERS ON RIGID BEARINGS IN THE CASE OF FREE VIBRATIONS. A P-VERSION OF FINITE ELEMENT IS USED TO DEFINE THE MODEL. A THEORETICAL STUDY ALLOWS THE ESTABLISHMENT OF THE KINETIC ENERGY AND THE STRAIN ENERGY OF THE SHAFT, NECESSARY TO THE RESULT OF THE EQUATIONS OF MOTION. IN THIS MODEL THE TRANSVERSE SHEAR DEFORMATION, ROTARY INERTIA AND GYROSCOPIC EFFECTS HAVE BEEN INCORPORATED. A HIERARCHICAL BEAM FINITE ELEMENT WITH SIX DEGREES OF FREEDOM PER NODE IS DEVELOPED AND EMPLOYED TO FIND THE NATURAL FREQUENCIES OF A SPINNING COMPOSITE SHAFT WITH VARIABLE STIFFNESS (CURVILINEAR FIBERS). A COMPUTER CODE IS ELABORATE FOR CALCULATING THE NATURAL-FREQUENCIES FOR VARIOUS ROTATING SPEEDS OF THE COMPOSITE SHAFTS WITH CURVILINEAR FIBERS. IN THE ABSENCE OF PUBLICATIONS OF VIBRATION ANALYSIS OF ROTATING COMPOSITE SHAFTS WITH CURVILINEAR FIBERS, THE FORMULATION IS VERIFIED BY COMPARISONS WITH PUBLISHED DATA ON ROTATING COMPOSITE SHAFTS REINFORCED BY STRAIGHT FIBERS. THE INFLUENCE OF THE PHYSICAL, GEOMETRICAL PARAMETERS, THE BOUNDARY CONDITIONS AND THE CURVILINEAR FIBER PATHS ON THE FIRST NATURAL FREQUENCIES OF THE SPINNING COMPOSITE SHAFTS IS STUDIED BY PLOTTING VARIOUS CAMPBELL DIAGRAMS.
Authors who publish with this journal agree to the following terms:
- 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.
- 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.
- 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).