APPLICATION OF LAPLACE ITERATION METHOD TO STUDY OF NONLINEAR VIBRATION OF LAMINATED COMPOSITE PLATES
Keywords:NONLINEAR ANALYTICAL ANALYSIS, NONLINEAR VIBRATION, COMPOSITE PLATE, CLASSICAL PLATE THEORY, LAPLACE ITERATION METHOD
AbstractIN THIS PAPER FREE VIBRATION CHARACTERISTICS OF LAMINATED COMPOSITE PLATES IS INVESTIGATED. A MODEL IS DEVELOPED FOR A COMPOSITE LAYER BASED ON THE CONSIDERATION OF NON-LINEAR TERMS IN VON-KARMAN&RSQUO;S NON-LINEAR DEFORMATION THEORY. THE GOVERNING PARTIAL EQUATION OF MOTION IS REDUCED TO AN ORDINARY NON-LINEAR EQUATION AND THEN SOLVED USING LIM METHOD. THE VARIATION OF FREQUENCY RATIO OF THE ISOTROPIC AND COMPOSITE PLATES IS BROUGHT OUT CONSIDERING PARAMETERS SUCH AS ASPECT RATIO, FIBER ARRANGEMENTS (ORIENTATION), NUMBER OF LAYERS AND MODAL RATIOS.
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