Stochastic bending–torsion coupled response of axially loaded slender composite-thin-walled beams with closed cross-sections

The stochastic bending–torsion coupled response of axially loaded slender composite beams with solid or thin-walled closed cross-sections are investigated by using normal mode method in conjunction with receptance method. The classical composite beam theory with shear deformation and rotary inertia ignored is employed and the effects of bending–torsion coupling and axial force are included in the present formulations. The theoretical expressions for the displacement response of axially loaded slender composite beams subjected to concentrated or distributed stochastic excitations with stationary and ergodic properties are derived. The proposed method is illustrated by its application to two particular examples to study the effects of bending–torsion coupling and axial force on the stochastic response of the composite beams.