Coupled Static and Dynamic Analyses of Shear Deformable Composite Beams with Channel-Sections.

In this study, the theoretical and numerical models are developed for the fully coupled static and dynamic analyses of the shear deformable laminated composite beams with channel-sections based on an orthogonal Cartesian coordinate system. The current composite beams take into account the transverse shear and the restrained warping induced shear deformation by using the first-order shear deformation beam theory. An analytical technique is used to derive the strain energy, the geometric potential energy, and the kinetic energy of the beam in a systematic manner considering all the deformation effects and their mutual couplings. To solve the static and dynamic problems, three different types of finite beam elements, namely, linear, quadratic and cubic elements are used. In order to demonstrate the validity of this study, the numerical solutions for the static and dynamics problems of channel-section beams are presented and compared with the experimental test results and the results obtained from other researchers, and the detailed three-dimensional analysis results using the shell elements of ABAQUS. The vibrational behavior is investigated with respect to the modulus ratios and the fiber angle change. Especially, the effect of shear deformation under the compressive and tensile forces on the coupled vibrational mode is newly studied. [ABSTRACT FROM AUTHOR]