On triply coupled vibrations of axially loaded thin-walled composite beams
Free vibration of axially loaded thin-walled composite beams with arbitrary lay-ups is presented. This model is based on the classical lamination theory, and accounts for all the structural coupling coming from material anisotropy. Equations of motion for flexuraltorsional coupled vibration are derived from the Hamiltons principle. The resulting coupling is referred to as triply coupled vibrations. A displacement-based one-dimensional finite element model is developed to solve the problem. Numerical results are obtained for thin-walled composite beams to investigate the effects of axial force, fiber orientation and modulus ratio on the natural frequencies, loadfrequency interaction curves and corresponding vibration mode shapes.
triply coupled vibrations thin-walled composite beam classical lamination theory axial force