BUCKLING AND FREE VIBRATION ANALYSIS OF ORTHOTROPIC PLATES BY USING EXPONENTIAL SHEAR DEFORMATION THEORY
Keywords:
ORTHOTROPIC PLATES, SHEAR CORRECTION FACTOR, SHEAR DEFORMATION, NATURAL FREQUENCIES, UNIAXIAL, BIAXIAL, CRITICAL BUCKLING LOAD.Abstract
IN THE PRESENT PAPER, AN EXPONENTIAL SHEAR DEFORMATION THEORY IS USED TO DETERMINE THE NATURAL FREQUENCIES AND CRITICAL BUCKLING LOADS OF ORTHOTROPIC PLATES.  THE THEORY ACCOUNTS FOR A PARABOLIC DISTRIBUTION OF THE TRANSVERSE SHEAR STRAINS ACROSS THE THICKNESS, AND SATISFIES THE ZERO TRACTION BOUNDARY CONDITIONS ON THE TOP AND BOTTOM SURFACES OF THE PLATE WITHOUT USING SHEAR CORRECTION FACTORS. THE IN-PLANE DISPLACEMENT FIELD USES AN EXPONENTIAL FUNCTION IN TERMS OF THICKNESS COORDINATE TO INCLUDE THE EFFECT OF SHEAR DEFORMATION AND ROTARY INERTIA. GOVERNING EQUATIONS AND BOUNDARY CONDITIONS ARE DERIVED FROM THE DYNAMIC VERSION OF PRINCIPLE OF VIRTUAL WORK. THE NAVIER TYPE SOLUTION IS EMPLOYED FOR SOLVING THE GOVERNING EQUATIONS OF SIMPLY SUPPORTED SQUARE ORTHOTROPIC PLATES. THE RESULTS OBTAINED USING PRESENT HIGHER ORDER SHEAR DEFORMATION THEORY ARE FOUND TO BE AGREE WELL WITH THOSE OBTAINED BY OTHER SEVERAL EXISTING HIGHER ORDER THEORIES FOR ANALYZING THE BUCKLING AND FREE VIBRATION BEHAVIOUR OF ORTHOTROPIC PLATES. 
Downloads
Published
Issue
Section
License
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).