Comparison of various higher order shear deformation theories for static and modal analysis of composite beam

Abstract

This study deals with comparison of various higher order shear deformation theories including exponential shear deformation beam theory (ESDBT), trigonometric shear deformation beam theory (TSDBT) and hyperbolic shear deformation beam theory (HSDBT) for static and modal analysis of composite beam. Static analysis of generally laminated composite beam with simply supported edges and uniformly distributed load has been performed and solution has been obtained to the governing differential equations derived using Hamilton's principal. The results are obtained by developing MATLAB codes for various theories. These results for test beam are compared with third order theory (TOT). The effect of span to thickness ratio on the accuracy is studied. The exponential shear deformation beam theory (ESDBT) yields more accurate results than other theories for both static and modal analysis of the beam.