Dynamic Response of Thin-Walled Composite Material Timoshenko Beams

Abstract

Thin-walled structural members are used extensively in the offshore industry in applications ranging from marine risers to platforms and frames. Advanced fiber composite structural members may offer advantages over their conventional steel counterparts in certain situations. Use of composite members will require modifications to existing structural analysis codes. This paper presents a beam theory for thin-walled composite beams that can be incorporated into existing codes. Timoshenko beam theory is utilized to account for shear deformation effects, which cannot be neglected in composite beams, and for the variability in material properties in different walls of the beam cross section. The theory is applied to the analysis of the free vibration problem and shows the dependence of the natural frequencies and mode shapes on the in-plane properties of the laminates that form the walls of the beam. Forced periodic and forced arbitrary problems are also discussed and the deflected shapes and maximum deflections are shown as functions of wall layups.

Flexural–torsional coupled vibration and buckling of thin-walled open section composite beams using shear-deformable beam theory

“…(19), can be stated as (20) where N z , M x , M y , M ω , V x , V y , T, M t are axial force, bending moments in the x-and y-directions, warping moment (bimoment), and torsional moment with respect to the centroid, respectively, defined by integrating over the 8 cross-sectional area A as…”

“…The influences of axial force, Poisson effect, axial deformation, shear deformation and rotary inertia were also discussed in their research. By using finite element method, Bank and Kao [20] analysed free and forced vibration of thin-walled fibre reinforced composite material beams by using the Timoshenko beam theory.…”

Free vibration of axially loaded thin-walled composite Timoshenko beams

“…The finite element method has been widely used because of its versatility, and a large amount of work was devoted to obtain the acceptable results. Bank and Kao [6] analyzed free and forced vibration of thin-walled fiber reinforced composite material beams by using the Timoshenko beam theory. Cortinez and Piovan [7] presented a theoretical model for the vibration and buckling analysis of thin-walled composite beams.…”

On triply coupled vibrations of axially loaded thin-walled composite beams

“…For thin-walled open-section composite beams, the works of Kim et al [16][17][18] deserved special attention because they evaluated not only the exact element stiffness matrix but also dynamic stiffness matrix to perform the spatially coupled stability and vibration analysis of thin-walled composite I-beam with arbitrary laminations. By using finite element method, Bank and Kao [19] analyzed free and forced vibration of thin-walled composite beams. Cortinez, Machado and Piovan [20,21] presented a theoretical model for the dynamic analysis of thin-walled composite beams with initial stresses.…”